Roger Temam

Personal Home Page

http://mypage.iu.edu/~temam/home_F.htm

Articles in Scholarly Journals [Incomplete List]

  1. The 3D Primitive Equations in the absence of viscosity: Boundary conditions and well-posedness in the linearized case
    Journal de Mathématiques Pures et Appliqués, vol. 89, no. 3, pp. 297–319, 2008
  2. A two-grid finite difference method for the primitive equations of the ocean
    Nonlinear Analysis: Theory, Methods & Applications, vol. 69, no. 3, pp. 1034–1056, 2008
  3. Statistical estimates for channel flows driven by a pressure gradient
    Physica D: Nonlinear Phenomena, vol. 237, no. 10-12, pp. 1368–1387, 2008
  4. Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point
    Journal of Mathematical Physics, vol. 48, no. 6, p. 065301, 2007
  5. STOCHASTIC SOLUTIONS OF THE TWO-DIMENSIONAL PRIMITIVE EQUATIONS OF THE OCEAN AND ATMOSPHERE WITH AN ADDITIVE NOISE
    Analysis and Applications, vol. 5, no. 2, p. 183, 2007
  6. A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance
    Numerische Mathematik, vol. 107, no. 4, pp. 669–705, 2007
  7. On Parabolic Boundary Layers for Convection–Diffusion Equations in a Channel: Analysis and Numerical Applications
    Journal of Scientific Computing, vol. 28, no. 2-3, pp. 361–410, 2006
  8. Analysis and Applications, vol. 4, no. 2, p. 163, 2006
  9. Suitable initial conditions
    Journal of Computational Physics, vol. 218, no. 2, pp. 443–450, 2006
  10. Renormalization group method applied to the primitive equations
    Journal of Differential Equations, vol. 208, no. 1, pp. 215–257, 2005
  11. Multilevel schemes for the shallow water equations
    Journal of Computational Physics, vol. 207, no. 2, pp. 660–694, 2005
  12. Kolmogorov theory via finite-time averages
    Physica D: Nonlinear Phenomena, vol. 212, no. 3-4, pp. 245–270, 2005
  13. Numerical Analysis of Stochastic Schemes in Geophysics
    SIAM Journal on Numerical Analysis, vol. 42, no. 6, p. 2257, 2005
  14. Finite Volume Discretization and Multilevel Methods in Flow Problems
    Journal of Scientific Computing, vol. 25, no. 1, pp. 231–261, 2005
  15. On the order of magnitude of the baroclinic flow in the primitive equations of the ocean
    Annali di Matematica Pura ed Applicata, vol. 185, no. S5, pp. S293–S313, 2005
  16. Boundary Layers in an Ocean Related System
    Journal of Scientific Computing, vol. 21, no. 3, pp. 405–432, 2004
  17. Accurate Integration of Stochastic Climate Models with Application to El Niño
    Monthly Weather Review, vol. 132, no. 1, p. 154, 2004
  18. Control for the sine-gordon equation
    Control, Optimisation and Calculus of Variations, vol. 10, no. 4, pp. 553–573, 2004
  19. Barotropic-Baroclinic Formulation of the Primitive Equations of the Ocean
    Applicable Analysis, vol. 82, no. 5, pp. 439–456, 2003
  20. Analysis of stochastic numerical schemes for the evolution equations of geophysics
    Applied Mathematics Letters, vol. 16, no. 8, pp. 1223–1229, 2003
  21. Open Boundary Conditions for the Primitive and Boussinesq Equations
    Journal of the Atmospheric Sciences, vol. 60, no. 21, p. 2647, 2003
  22. Low-Frequency Variability in Shallow-Water Models of the Wind-Driven Ocean Circulation. Part I: Steady-State Solution
    Journal of Physical Oceanography, vol. 33, pp. 712–728, 2003
  23. Low-Frequency Variability in Shallow-Water Models of the Wind-Driven Ocean Circulation. Part II: Time-Dependent Solutions
    Journal of Physical Oceanography, vol. 33, pp. 729–752, 2003
  24. Surface Pressure Poisson Equation Formulation of the Primitive Equations: Numerical Schemes
    SIAM Journal on Numerical Analysis, vol. 41, no. 3, p. 1163, 2003
  25. Some Mathematical Aspects of Geophysical Fluid Dynamic Equations
    Milan Journal of Mathematics, vol. 71, no. 1, pp. 175–198, 2003
  26. Averaging of Differential Equations Generating Oscillations and an Application to Control
    Applied Mathematics and Optimization, vol. 46, no. 2, pp. 313–330, 2002
  27. Boundary Layers Associated with Incompressible Navier–Stokes Equations: The Noncharacteristic Boundary Case
    Journal of Differential Equations, vol. 179, no. 2, pp. 647–686, 2002
  28. Chinese Annals of Mathematics, vol. 23, no. 2, p. 277, 2002
  29. Free Gravity Waves and Balanced Dynamics
    Journal of the Atmospheric Sciences, vol. 59, no. 23, pp. 3382–3398, 2002
  30. Numerical approximation of one-dimensional stationary diffusion equations with boundary layers
    Computers & Fluids, vol. 31, no. 4-7, pp. 453–466, 2002
  31. Cascade of energy in turbulent flowsSur les cascades d'énergie en écoulements turbulents
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 332, no. 6, pp. 509–514, 2001
  32. Estimates for the energy cascade in three-dimensional turbulent flows
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 333, no. 5, pp. 499–504, 2001
  33. Boundary layers in channel flow with injection and suction
    Applied Mathematics Letters, vol. 14, no. 1, pp. 87–91, 2001
  34. An optimal compactness theorem and application to elliptic-parabolic systems
    Applied Mathematics Letters, vol. 14, no. 3, pp. 303–306, 2001
  35. Time Marching Multilevel Techniques for Evolutionary Dissipative Problems
    SIAM Journal on Scientific Computing, vol. 23, no. 1, p. 46, 2001
  36. Accurate Computations on Inertial Manifolds
    SIAM Journal on Scientific Computing, vol. 22, no. 6, p. 2216, 2001
  37. Smooth solutions and attractor dimension bounds for planetary geostrophic ocean models
    Quarterly Journal of the Royal Meteorological Society, vol. 126, no. 566, pp. 1977–1981, 2000
  38. Resolution of a stochastic weakly damped nonlinear Schrödinger equation by a multilevel numerical method
    Journal of the Optical Society of America A, vol. 17, no. 10, p. 1870, 2000
  39. A general framework for robust control in fluid mechanics
    Physica D: Nonlinear Phenomena, vol. 138, no. 3-4, pp. 360–392, 2000
  40. On mathematical problems for the primitive equations of the ocean: the mesoscale midlatitude case
    Nonlinear Analysis, vol. 40, no. 1-8, pp. 439–482, 2000
  41. Existence and uniqueness of optimal control to the Navier–Stokes equations
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 330, no. 11, pp. 1007–1011, 2000
  42. Remarks on the Prandtl Equation for a Permeable Wall
    ZAMM, vol. 80, no. 11-12, pp. 835–843, 2000
  43. Remarks on the Prandtl Equation for a Permeable Wall
    ZAMM, vol. 80, no. 11-12, pp. 835–843, 2000
  44. Incremental unknowns, multilevel methods and the numerical simulation of turbulence
    Computer Methods in Applied Mechanics and Engineering, vol. 159, no. 1-2, pp. 123–189, 1998
  45. Some mathematical properties of the planetary geostrophic equations for large-scale ocean circulation
    Applicable Analysis, vol. 70, no. 1, pp. 147–173, 1998
  46. Journal of Engineering Mathematics, vol. 34, no. 1/2, pp. 201–214, 1998
  47. The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations
    Applied Mathematics Letters, vol. 10, no. 5, pp. 29–33, 1997
  48. Journal of Engineering Mathematics, vol. 32, no. 2/3, pp. 237–256, 1997
  49. Dynamical multilevel schemes for the solution of evolution equations by hierarchical finite element discretization
    Applied Numerical Mathematics, vol. 23, no. 4, pp. 403–442, 1997
  50. Physical Interpretation of the Attractor Dimension for the Primitive Equations of Atmospheric Circulation
    Journal of the Atmospheric Sciences, vol. 54, no. 9, pp. 1137–1143, 1997
  51. A simple global model for the general circulation of the atmosphere
    Communications on Pure and Applied Mathematics, vol. 50, no. 8, pp. 707–752, 1997
  52. A simple global model for the general circulation of the atmosphere
    Communications on Pure and Applied Mathematics, vol. 50, no. 8, pp. 707–752, 1997
  53. Multilevel Methods for the Simulation of Turbulence A Simple Model
    Journal of Computational Physics, vol. 127, no. 2, pp. 309–315, 1996
  54. Inertial manifolds and normal hyperbolicity
    Acta Applicandae Mathematicae, vol. 45, no. 1, pp. 1–50, 1996
  55. Asymptotic analysis of Oseen equations for small viscosity
    Applied Mathematics Letters, vol. 9, no. 2, pp. 1–4, 1996
  56. Asymptotic analysis of Oseen type equations in a channel at small viscosity
    Indiana University Mathematics Journal, vol. 45, no. 3, pp. 0–0, 1996
  57. Convergence of a chaotic attractor with increased spatial resolution of the Ginzburg-Landau equation
    Chaos, Solitons & Fractals, vol. 5, no. 10, pp. 1833–1845, 1995
  58. Inertial manifolds with delay
    Applied Mathematics Letters, vol. 8, no. 2, pp. 21–24, 1995
  59. Fully nonlinear multispecies reaction-diffusion equations
    Applied Mathematics Letters, vol. 8, no. 4, pp. 7–11, 1995
  60. Some nonlinear homogenization problems
    Applicable Analysis, vol. 57, no. 1, pp. 101–118, 1995
  61. SIAM Journal on Numerical Analysis, vol. 32, no. 1, Article ID 0732007, 1995
  62. An applicatin of approximate inertial manifolds to a weakly damped nonlinear schrödinger equation
    Numerical Functional Analysis and Optimization, vol. 16, no. 7, pp. 923–937, 1995
  63. Inertial manifolds, partially space-averaged equations, and the separation of scales in turbulent flows*
    Physics of Fluids, vol. 7, no. 7, p. 1791, 1995
  64. Incremental unknowns for solving nonlinear eigenvalue problems: New multiresolution methods
    Numerical Methods for Partial Differential Equations, vol. 11, no. 3, pp. 199–228, 1995
  65. Foreword
    Theoretical and Computational Fluid Dynamics, vol. 7, no. 4, pp. 241–241, 1995
  66. The nonlinear galerkin method: A multiscale method applied to the simulation of homogeneous turbulent flows
    Theoretical and Computational Fluid Dynamics, vol. 7, no. 4, pp. 279–315, 1995
  67. A nonlinear galerkin method: The two-level fourier-collocation case
    Journal of Scientific Computing, vol. 10, no. 4, pp. 371–389, 1995
  68. Implementation and numerical analysis of the nonlinear Galerkin methods with finite elements discretization
    Applied Numerical Mathematics, vol. 15, no. 2, pp. 219–246, 1994
  69. Stochastic Burgers' equation
    Nonlinear Differential Equations and Applications NoDEA, vol. 1, no. 4, pp. 389–402, 1994
  70. SIAM Journal on Mathematical Analysis, vol. 25, no. 5, Article ID 0525073, 1994
  71. SIAM Journal on Matrix Analysis and Applications, vol. 14, no. 2, Article ID 0614031, 1993
  72. Feedback control for unsteady flow and its application to the stochastic Burgers equation
    Journal of Fluid Mechanics, vol. 253, no. -1, p. 509, 1993
  73. A convergent family of approximate inertial manifolds
    Applied Mathematics Letters, vol. 6, no. 1, pp. 87–90, 1993
  74. Nonlinear Galerkin method in the finite difference case and wavelet-like incremental unknowns
    Numerische Mathematik, vol. 64, no. 1, pp. 271–294, 1993
  75. Implementation of finite element nonlinear Galerkin methods using hierarchical bases
    Computational Mechanics, vol. 11, no. 5-6, pp. 384–407, 1993
  76. Inertial Forms of Navier-Stokes Equations on the Sphere
    Journal of Functional Analysis, vol. 117, no. 1, pp. 215–242, 1993
  77. Iterated Approximate Inertial Manifolds for Navier-Stokes Equations in 2-D
    Journal of Mathematical Analysis and Applications, vol. 178, no. 2, pp. 567–583, 1993
  78. Bounds for the mean dissipation of 2-D enstrophy and 3-D energy in turbulent flows
    Physics Letters A, vol. 174, no. 3, pp. 210–215, 1993
  79. Incremental unknowns for convection–diffusion equations
    Applied Numerical Mathematics, vol. 11, no. 5, pp. 365–383, 1993
  80. Implementation of the nonlinear Galerkin method with pseudospectral (collocation) discretizations
    Applied Numerical Mathematics, vol. 12, no. 1-3, pp. 119–134, 1993
  81. Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method
    Journal of Scientific Computing, vol. 8, no. 2, pp. 167–194, 1993
  82. Indiana University Mathematics Journal, vol. 42, no. 3, Article ID 42029, 1993
  83. Indiana University Mathematics Journal, vol. 42, no. 3, Article ID 42044, 1993
  84. Stability Analysis of the Nonlinear Galerkin Method
    Mathematics of Computation, vol. 57, no. 196, p. 477, 1991
  85. Subgrid modelling and the interaction of small and large wavelengths in turbulent flows
    Computer Physics Communications, vol. 65, no. 1-3, pp. 100–106, 1991
  86. The incremental unknown method I
    Applied Mathematics Letters, vol. 4, no. 3, pp. 73–76, 1991
  87. Inertial Manifolds and Slow Manifolds
    Applied Mathematics Letters, vol. 4, no. 4, pp. 73–76, 1991
  88. Remark on the pressure boundary condition for the projection method
    Theoretical and Computational Fluid Dynamics, vol. 3, no. 3, pp. 181–184, 1991
  89. Incremental unknowns for solving partial differential equations
    Numerische Mathematik, vol. 59, no. 1, pp. 255–271, 1991
  90. Localization and approximation of attractors for the Ginzburg-Landau equation
    Journal of Dynamics and Differential Equations, vol. 3, no. 4, pp. 491–514, 1991
  91. Local and Global Lyapunov exponents
    Journal of Dynamics and Differential Equations, vol. 3, no. 1, pp. 133–177, 1991
  92. Approximate inertial manifolds and effective viscosity in turbulent flows
    Physics of Fluids A: Fluid Dynamics, vol. 3, no. 5, p. 898, 1991
  93. Approximate Interaction Laws for Small and Large Waves in the Ginzbnrg-Landau Equation
    IMA Journal of Applied Mathematics, vol. 46, no. 1-2, pp. 121–136, 1991
  94. Approximation of Attractors, Large Eddy Simulations and Multiscale Methods
    Proceedings of the Royal Society: Mathematical and Physical Sciences (1990-1995), vol. 434, no. 1890, pp. 23–39, 1991
  95. SIAM Journal on Mathematical Analysis, vol. 21, no. 1, Article ID 0521009, 1990
  96. Nonlinear Galerkin methods: The finite elements case
    Numerische Mathematik, vol. 57, no. 1, pp. 205–226, 1990
  97. On some control problems in fluid mechanics
    Theoretical and Computational Fluid Dynamics, vol. 1, no. 6, pp. 303–325, 1990
  98. A co-area formula with applications to monotone rearrangement and to regularity
    Archive for Rational Mechanics and Analysis, vol. 109, no. 3, pp. 213–238, 1990
  99. The nonlinear Galerkin method in computational fluid dynamics
    Applied Numerical Mathematics, vol. 6, no. 5, pp. 361–370, 1990
  100. A nonlinear Galerkin method for the Navier-Stokes equations
    Computer Methods in Applied Mechanics and Engineering, vol. 80, no. 1-3, pp. 245–260, 1990
  101. Do inertial manifolds apply to turbulence?
    Physica D: Nonlinear Phenomena, vol. 37, no. 1-3, pp. 146–152, 1989
  102. Gevrey class regularity for the solutions of the Navier-Stokes equations
    Journal of Functional Analysis, vol. 87, no. 2, pp. 359–369, 1989
  103. Spectral barriers and inertial manifolds for dissipative partial differential equations
    Journal of Dynamics and Differential Equations, vol. 1, no. 1, pp. 45–73, 1989
  104. SIAM Journal on Numerical Analysis, vol. 26, no. 5, Article ID 0726063, 1989
  105. Some global dynamical properties of a class of pattern formation equations
    Communications in Partial Differential Equations, vol. 14, no. 2, pp. 245–297, 1989
  106. SIAM Journal on Control and Optimization, vol. 27, no. 1, Article ID 0327001, 1989
  107. SIAM Journal on Mathematical Analysis, vol. 19, no. 1, Article ID 0519001, 1988
  108. Inertial manifolds for nonlinear evolutionary equations
    Journal of Differential Equations, vol. 73, no. 2, pp. 309–353, 1988
  109. On the dimension of the attractors in two-dimensional turbulence
    Physica D: Nonlinear Phenomena, vol. 30, no. 3, pp. 284–296, 1988
  110. The algebraic approximation of attractors: The finite dimensional case
    Physica D: Nonlinear Phenomena, vol. 32, no. 2, pp. 163–182, 1988
  111. An estimate of the hausdorff dimension of the attractor for homogeneous decaying turbulence
    Physics Letters A, vol. 122, no. 3-4, pp. 140–144, 1987
  112. Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
    Nonlinear Analysis, vol. 11, no. 8, pp. 939–967, 1987
  113. Self-similar invariant families of turbulent flows
    Physics of Fluids, vol. 30, no. 7, p. 2007, 1987
  114. Dimension of the universal attractor describing the periodically driven Sine-Gordon equations
    Transport Theory and Statistical Physics, vol. 16, no. 2, pp. 253–265, 1987
  115. Indiana University Mathematics Journal, vol. 36, no. 4, Article ID 36043, 1987
  116. Determining modes and fractal dimension of turbulent flows
    Journal of Fluid Mechanics, vol. 150, no. -1, p. 427, 1985
  117. Some global dynamical properties of the Kuramoto-Sivashinsky equations: Nonlinear stability and attractors
    Physica D: Nonlinear Phenomena, vol. 16, no. 2, pp. 155–183, 1985
  118. Lagrangian representation of a flow
    Journal of Differential Equations, vol. 57, no. 3, pp. 440–449, 1985
  119. Attractors and determining modes in fluid mechanics
    Physica A: Statistical and Theoretical Physics, vol. 124, no. 1-3, p. 577, 1984
  120. On the Large Time Galerkin Approximation of the Navier–Stokes Equations
    SIAM Journal on Numerical Analysis, vol. 21, no. 4, p. 615, 1984
  121. Indiana University Mathematics Journal, vol. 33, no. 5, Article ID 33036, 1984
  122. Determination of the Solutions of the Navier-Stokes Equations by a Set of Nodal Values
    Mathematics of Computation, vol. 43, no. 167, p. 117, 1984
  123. Number of Modes Governing Two-Dimensional Viscous, Incompressible Flows
    Physical Review Letters, vol. 50, no. 14, pp. 1031–1034, 1983
  124. New Representation of Navier-Stokes Equations Governing Self-Similar Homogeneous Turbulence
    Physical Review Letters, vol. 51, no. 8, pp. 617–620, 1983
  125. On the Hausdorff dimension of an attractor for the two-dimensional Navier-Stokes equations
    Physics Letters A, vol. 93, no. 9, pp. 451–454, 1983
  126. Asymptotic analysis of the navier-stokes equations
    Physica D: Nonlinear Phenomena, vol. 9, no. 1-2, pp. 157–188, 1983
  127. Dual spaces of stresses and strains, with applications to Hencky plasticity
    Applied Mathematics & Optimization, vol. 10, no. 1, pp. 1–35, 1983
  128. Some mathematical questions related to the mhd equations
    Communications on Pure and Applied Mathematics, vol. 36, no. 5, pp. 635–664, 1983
  129. Self-similar universal homogeneous statistical solutions of the Navier-Stokes equations
    Communications in Mathematical Physics, vol. 90, no. 2, pp. 187–206, 1983
  130. A characterization of quasi-convex functions
    Applied Mathematics & Optimization, vol. 8, no. 1, pp. 287–291, 1982
  131. A specifically nonlinear property of the operator semigroup of the navier-stokes equations
    Communications on Pure and Applied Mathematics, vol. 35, no. 2, pp. 197–207, 1982
  132. Behaviour at time t = 0 of the solutions of semi-linear evolution equations
    Journal of Differential Equations, vol. 43, no. 1, pp. 73–92, 1982
  133. New a priori estimates for navier-stokes equations in dimension 3
    Communications in Partial Differential Equations, vol. 6, no. 3, pp. 329–359, 1981
  134. Indiana University Mathematics Journal, vol. 29, no. 3, Article ID 29031, 1980
  135. Indiana University Mathematics Journal, vol. 29, no. 6, Article ID 29062, 1980
  136. Functions of bounded deformation
    Archive for Rational Mechanics and Analysis, vol. 75, no. 1, 1980
  137. Generic properties of nonlinear boundary value problems
    Communications in Partial Differential Equations, vol. 4, no. 3, pp. 293–319, 1979
  138. Pseudosolutions of the time-dependent minimal surface problem
    Journal of Differential Equations, vol. 30, no. 3, pp. 340–364, 1978
  139. Structure of the set of stationary solutions of the navier-stokes equations
    Communications on Pure and Applied Mathematics, vol. 30, no. 2, pp. 149–164, 1977
  140. Remarks on a free Boundary Value Problem Arising in Plasma Physics
    Communications in Partial Differential Equations, vol. 2, no. 6, pp. 563–585, 1977
  141. SIAM Journal on Control and Optimization, vol. 13, no. 1, Article ID 0313008, 1975
  142. An optimal control problem related to the equilibrium of a plasma in a cavity
    Applied Mathematics & Optimization, vol. 2, no. 2, pp. 97–129, 1975
  143. Solutions g?n?ralis?es de certaines ?quations du type hypersurfaces minima
    Archive for Rational Mechanics and Analysis, vol. 44, no. 2, 1971
  144. Sur l'approximation de la solution des ?quations de Navier-Stokes par la m?thode des pas fractionnaires (I)
    Archive for Rational Mechanics and Analysis, vol. 32, no. 2, 1969
  145. Sur la r?solution exacte et approch?e d'un probl?me hyperbolique non lin?aire de T. Carleman
    Archive for Rational Mechanics and Analysis, vol. 35, no. 5, pp. 351–362, 1969
  146. Sur l'approximation de la solution des ?quations de Navier-Stokes par la m?thode des pas fractionnaires (II)
    Archive for Rational Mechanics and Analysis, vol. 33, no. 5, 1969
  147. Sur la stabilité et la convergence de la méthode des pas fractionnaires
    Annali di Matematica Pura ed Applicata, Series 4, vol. 79, no. 1, pp. 191–379, 1968