Roger Temam
Personal Home Page
http://mypage.iu.edu/~temam/home_F.htm
Articles in Scholarly Journals [Incomplete List]
- 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 - 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 - Statistical estimates for channel flows driven by a pressure gradient
Physica D: Nonlinear Phenomena, vol. 237, no. 10-12, pp. 1368–1387, 2008 - Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point
Journal of Mathematical Physics, vol. 48, no. 6, p. 065301, 2007 - 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 - A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance
Numerische Mathematik, vol. 107, no. 4, pp. 669–705, 2007 - 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 - Analysis and Applications, vol. 4, no. 2, p. 163, 2006
- Suitable initial conditions
Journal of Computational Physics, vol. 218, no. 2, pp. 443–450, 2006 - Renormalization group method applied to the primitive equations
Journal of Differential Equations, vol. 208, no. 1, pp. 215–257, 2005 - Multilevel schemes for the shallow water equations
Journal of Computational Physics, vol. 207, no. 2, pp. 660–694, 2005 - Kolmogorov theory via finite-time averages
Physica D: Nonlinear Phenomena, vol. 212, no. 3-4, pp. 245–270, 2005 - Numerical Analysis of Stochastic Schemes in Geophysics
SIAM Journal on Numerical Analysis, vol. 42, no. 6, p. 2257, 2005 - Finite Volume Discretization and Multilevel Methods in Flow Problems
Journal of Scientific Computing, vol. 25, no. 1, pp. 231–261, 2005 - 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 - Boundary Layers in an Ocean Related System
Journal of Scientific Computing, vol. 21, no. 3, pp. 405–432, 2004 - Accurate Integration of Stochastic Climate Models with Application to El Niño
Monthly Weather Review, vol. 132, no. 1, p. 154, 2004 - Control for the sine-gordon equation
Control, Optimisation and Calculus of Variations, vol. 10, no. 4, pp. 553–573, 2004 - Barotropic-Baroclinic Formulation of the Primitive Equations of the Ocean
Applicable Analysis, vol. 82, no. 5, pp. 439–456, 2003 - Analysis of stochastic numerical schemes for the evolution equations of geophysics
Applied Mathematics Letters, vol. 16, no. 8, pp. 1223–1229, 2003 - Open Boundary Conditions for the Primitive and Boussinesq Equations
Journal of the Atmospheric Sciences, vol. 60, no. 21, p. 2647, 2003 - 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 - 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 - Surface Pressure Poisson Equation Formulation of the Primitive Equations: Numerical Schemes
SIAM Journal on Numerical Analysis, vol. 41, no. 3, p. 1163, 2003 - Some Mathematical Aspects of Geophysical Fluid Dynamic Equations
Milan Journal of Mathematics, vol. 71, no. 1, pp. 175–198, 2003 - Averaging of Differential Equations Generating Oscillations and an Application to Control
Applied Mathematics and Optimization, vol. 46, no. 2, pp. 313–330, 2002 - Boundary Layers Associated with Incompressible Navier–Stokes Equations: The Noncharacteristic Boundary Case
Journal of Differential Equations, vol. 179, no. 2, pp. 647–686, 2002 - Chinese Annals of Mathematics, vol. 23, no. 2, p. 277, 2002
- Free Gravity Waves and Balanced Dynamics
Journal of the Atmospheric Sciences, vol. 59, no. 23, pp. 3382–3398, 2002 - Numerical approximation of one-dimensional stationary diffusion equations with boundary layers
Computers & Fluids, vol. 31, no. 4-7, pp. 453–466, 2002 - 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 - 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 - Boundary layers in channel flow with injection and suction
Applied Mathematics Letters, vol. 14, no. 1, pp. 87–91, 2001 - An optimal compactness theorem and application to elliptic-parabolic systems
Applied Mathematics Letters, vol. 14, no. 3, pp. 303–306, 2001 - Time Marching Multilevel Techniques for Evolutionary Dissipative Problems
SIAM Journal on Scientific Computing, vol. 23, no. 1, p. 46, 2001 - Accurate Computations on Inertial Manifolds
SIAM Journal on Scientific Computing, vol. 22, no. 6, p. 2216, 2001 - 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 - 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 - A general framework for robust control in fluid mechanics
Physica D: Nonlinear Phenomena, vol. 138, no. 3-4, pp. 360–392, 2000 - 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 - 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 - Remarks on the Prandtl Equation for a Permeable Wall
ZAMM, vol. 80, no. 11-12, pp. 835–843, 2000 - Remarks on the Prandtl Equation for a Permeable Wall
ZAMM, vol. 80, no. 11-12, pp. 835–843, 2000 - 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 - Some mathematical properties of the planetary geostrophic equations for large-scale ocean circulation
Applicable Analysis, vol. 70, no. 1, pp. 147–173, 1998 - Journal of Engineering Mathematics, vol. 34, no. 1/2, pp. 201–214, 1998
- 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 - Journal of Engineering Mathematics, vol. 32, no. 2/3, pp. 237–256, 1997
- 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 - 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 - 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 - 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 - Multilevel Methods for the Simulation of Turbulence A Simple Model
Journal of Computational Physics, vol. 127, no. 2, pp. 309–315, 1996 - Inertial manifolds and normal hyperbolicity
Acta Applicandae Mathematicae, vol. 45, no. 1, pp. 1–50, 1996 - Asymptotic analysis of Oseen equations for small viscosity
Applied Mathematics Letters, vol. 9, no. 2, pp. 1–4, 1996 - Asymptotic analysis of Oseen type equations in a channel at small viscosity
Indiana University Mathematics Journal, vol. 45, no. 3, pp. 0–0, 1996 - 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 - Inertial manifolds with delay
Applied Mathematics Letters, vol. 8, no. 2, pp. 21–24, 1995 - Fully nonlinear multispecies reaction-diffusion equations
Applied Mathematics Letters, vol. 8, no. 4, pp. 7–11, 1995 - Some nonlinear homogenization problems
Applicable Analysis, vol. 57, no. 1, pp. 101–118, 1995 - SIAM Journal on Numerical Analysis, vol. 32, no. 1, Article ID 0732007, 1995
- 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 - Inertial manifolds, partially space-averaged equations, and the separation of scales in turbulent flows*
Physics of Fluids, vol. 7, no. 7, p. 1791, 1995 - Incremental unknowns for solving nonlinear eigenvalue problems: New multiresolution methods
Numerical Methods for Partial Differential Equations, vol. 11, no. 3, pp. 199–228, 1995 - Foreword
Theoretical and Computational Fluid Dynamics, vol. 7, no. 4, pp. 241–241, 1995 - 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 - A nonlinear galerkin method: The two-level fourier-collocation case
Journal of Scientific Computing, vol. 10, no. 4, pp. 371–389, 1995 - Implementation and numerical analysis of the nonlinear Galerkin methods with finite elements discretization
Applied Numerical Mathematics, vol. 15, no. 2, pp. 219–246, 1994 - Stochastic Burgers' equation
Nonlinear Differential Equations and Applications NoDEA, vol. 1, no. 4, pp. 389–402, 1994 - SIAM Journal on Mathematical Analysis, vol. 25, no. 5, Article ID 0525073, 1994
- SIAM Journal on Matrix Analysis and Applications, vol. 14, no. 2, Article ID 0614031, 1993
- Feedback control for unsteady flow and its application to the stochastic Burgers equation
Journal of Fluid Mechanics, vol. 253, no. -1, p. 509, 1993 - A convergent family of approximate inertial manifolds
Applied Mathematics Letters, vol. 6, no. 1, pp. 87–90, 1993 - Nonlinear Galerkin method in the finite difference case and wavelet-like incremental unknowns
Numerische Mathematik, vol. 64, no. 1, pp. 271–294, 1993 - Implementation of finite element nonlinear Galerkin methods using hierarchical bases
Computational Mechanics, vol. 11, no. 5-6, pp. 384–407, 1993 - Inertial Forms of Navier-Stokes Equations on the Sphere
Journal of Functional Analysis, vol. 117, no. 1, pp. 215–242, 1993 - 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 - 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 - Incremental unknowns for convection–diffusion equations
Applied Numerical Mathematics, vol. 11, no. 5, pp. 365–383, 1993 - Implementation of the nonlinear Galerkin method with pseudospectral (collocation) discretizations
Applied Numerical Mathematics, vol. 12, no. 1-3, pp. 119–134, 1993 - Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method
Journal of Scientific Computing, vol. 8, no. 2, pp. 167–194, 1993 - Indiana University Mathematics Journal, vol. 42, no. 3, Article ID 42029, 1993
- Indiana University Mathematics Journal, vol. 42, no. 3, Article ID 42044, 1993
- Stability Analysis of the Nonlinear Galerkin Method
Mathematics of Computation, vol. 57, no. 196, p. 477, 1991 - 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 - The incremental unknown method I
Applied Mathematics Letters, vol. 4, no. 3, pp. 73–76, 1991 - Inertial Manifolds and Slow Manifolds
Applied Mathematics Letters, vol. 4, no. 4, pp. 73–76, 1991 - Remark on the pressure boundary condition for the projection method
Theoretical and Computational Fluid Dynamics, vol. 3, no. 3, pp. 181–184, 1991 - Incremental unknowns for solving partial differential equations
Numerische Mathematik, vol. 59, no. 1, pp. 255–271, 1991 - Localization and approximation of attractors for the Ginzburg-Landau equation
Journal of Dynamics and Differential Equations, vol. 3, no. 4, pp. 491–514, 1991 - Local and Global Lyapunov exponents
Journal of Dynamics and Differential Equations, vol. 3, no. 1, pp. 133–177, 1991 - Approximate inertial manifolds and effective viscosity in turbulent flows
Physics of Fluids A: Fluid Dynamics, vol. 3, no. 5, p. 898, 1991 - 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 - 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 - SIAM Journal on Mathematical Analysis, vol. 21, no. 1, Article ID 0521009, 1990
- Nonlinear Galerkin methods: The finite elements case
Numerische Mathematik, vol. 57, no. 1, pp. 205–226, 1990 - On some control problems in fluid mechanics
Theoretical and Computational Fluid Dynamics, vol. 1, no. 6, pp. 303–325, 1990 - 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 - The nonlinear Galerkin method in computational fluid dynamics
Applied Numerical Mathematics, vol. 6, no. 5, pp. 361–370, 1990 - 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 - Do inertial manifolds apply to turbulence?
Physica D: Nonlinear Phenomena, vol. 37, no. 1-3, pp. 146–152, 1989 - Gevrey class regularity for the solutions of the Navier-Stokes equations
Journal of Functional Analysis, vol. 87, no. 2, pp. 359–369, 1989 - Spectral barriers and inertial manifolds for dissipative partial differential equations
Journal of Dynamics and Differential Equations, vol. 1, no. 1, pp. 45–73, 1989 - SIAM Journal on Numerical Analysis, vol. 26, no. 5, Article ID 0726063, 1989
- Some global dynamical properties of a class of pattern formation equations
Communications in Partial Differential Equations, vol. 14, no. 2, pp. 245–297, 1989 - SIAM Journal on Control and Optimization, vol. 27, no. 1, Article ID 0327001, 1989
- SIAM Journal on Mathematical Analysis, vol. 19, no. 1, Article ID 0519001, 1988
- Inertial manifolds for nonlinear evolutionary equations
Journal of Differential Equations, vol. 73, no. 2, pp. 309–353, 1988 - On the dimension of the attractors in two-dimensional turbulence
Physica D: Nonlinear Phenomena, vol. 30, no. 3, pp. 284–296, 1988 - The algebraic approximation of attractors: The finite dimensional case
Physica D: Nonlinear Phenomena, vol. 32, no. 2, pp. 163–182, 1988 - 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 - Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
Nonlinear Analysis, vol. 11, no. 8, pp. 939–967, 1987 - Self-similar invariant families of turbulent flows
Physics of Fluids, vol. 30, no. 7, p. 2007, 1987 - 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 - Indiana University Mathematics Journal, vol. 36, no. 4, Article ID 36043, 1987
- Determining modes and fractal dimension of turbulent flows
Journal of Fluid Mechanics, vol. 150, no. -1, p. 427, 1985 - 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 - Lagrangian representation of a flow
Journal of Differential Equations, vol. 57, no. 3, pp. 440–449, 1985 - Attractors and determining modes in fluid mechanics
Physica A: Statistical and Theoretical Physics, vol. 124, no. 1-3, p. 577, 1984 - On the Large Time Galerkin Approximation of the Navier–Stokes Equations
SIAM Journal on Numerical Analysis, vol. 21, no. 4, p. 615, 1984 - Indiana University Mathematics Journal, vol. 33, no. 5, Article ID 33036, 1984
- 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 - Number of Modes Governing Two-Dimensional Viscous, Incompressible Flows
Physical Review Letters, vol. 50, no. 14, pp. 1031–1034, 1983 - New Representation of Navier-Stokes Equations Governing Self-Similar Homogeneous Turbulence
Physical Review Letters, vol. 51, no. 8, pp. 617–620, 1983 - 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 - Asymptotic analysis of the navier-stokes equations
Physica D: Nonlinear Phenomena, vol. 9, no. 1-2, pp. 157–188, 1983 - Dual spaces of stresses and strains, with applications to Hencky plasticity
Applied Mathematics & Optimization, vol. 10, no. 1, pp. 1–35, 1983 - Some mathematical questions related to the mhd equations
Communications on Pure and Applied Mathematics, vol. 36, no. 5, pp. 635–664, 1983 - Self-similar universal homogeneous statistical solutions of the Navier-Stokes equations
Communications in Mathematical Physics, vol. 90, no. 2, pp. 187–206, 1983 - A characterization of quasi-convex functions
Applied Mathematics & Optimization, vol. 8, no. 1, pp. 287–291, 1982 - 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 - 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 - New a priori estimates for navier-stokes equations in dimension 3
Communications in Partial Differential Equations, vol. 6, no. 3, pp. 329–359, 1981 - Indiana University Mathematics Journal, vol. 29, no. 3, Article ID 29031, 1980
- Indiana University Mathematics Journal, vol. 29, no. 6, Article ID 29062, 1980
- Functions of bounded deformation
Archive for Rational Mechanics and Analysis, vol. 75, no. 1, 1980 - Generic properties of nonlinear boundary value problems
Communications in Partial Differential Equations, vol. 4, no. 3, pp. 293–319, 1979 - Pseudosolutions of the time-dependent minimal surface problem
Journal of Differential Equations, vol. 30, no. 3, pp. 340–364, 1978 - 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 - Remarks on a free Boundary Value Problem Arising in Plasma Physics
Communications in Partial Differential Equations, vol. 2, no. 6, pp. 563–585, 1977 - SIAM Journal on Control and Optimization, vol. 13, no. 1, Article ID 0313008, 1975
- 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 - Solutions g?n?ralis?es de certaines ?quations du type hypersurfaces minima
Archive for Rational Mechanics and Analysis, vol. 44, no. 2, 1971 - 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 - 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 - 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 - 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