Yoshihiro Shibata

Articles in Scholarly Journals [Incomplete List]

  1. Some theorems in the theory of microstretch thermopiezoelectricity
    International Journal of Engineering Science, vol. 45, no. 1, pp. 1–16, 2007
  2. On the time decay of solutions in porous-elasticity with quasi-static microvoids?
    Journal of Mathematical Analysis and Applications, vol. 331, no. 1, pp. 617–630, 2007
  3. A Theory of Porous Thermoviscoelastic Mixtures
    Journal of Thermal Stresses, vol. 30, no. 7, pp. 693–714, 2007
  4. The Importance of the Compatibility of Nonlinear Constitutive Theories With Their Linear Counterparts
    Journal of Applied Mechanics, vol. 74, no. 3, p. 455, 2007
  5. Qualitative Aspects in Dual-Phase-Lag Thermoelasticity
    SIAM Journal on Applied Mathematics, vol. 66, no. 3, p. 977, 2006
  6. Thermal Stresses in Type III Thermo-Elastic Plates
    Journal of Thermal Stresses, vol. 29, no. 5, pp. 485–503, 2006
  7. Instability, nonexistence, and uniqueness in elasticity with porous dissipation
    Differential Equations and Nonlinear Mechanics, vol. 2006, Article ID 68748, 14 pages, 2006
  8. On the spatial behavior of solutions for porous elastic solids with quasi-static microvoids
    Mathematical and Computer Modelling, vol. 44, no. 7-8, pp. 710–716, 2006
  9. On the time decay of solutions in one-dimensional theories of porous materials
    International Journal of Solids and Structures, vol. 43, no. 11-12, pp. 3414–3427, 2006
  10. A note on stability in dual-phase-lag heat conduction
    International Journal of Heat and Mass Transfer, vol. 49, no. 7-8, pp. 1209–1213, 2006
  11. Phragmen–Lindelof alternative for the displacement boundary value problem in a theory of non-linear micropolar elasticity
    International Journal of Non-Linear Mechanics, vol. 41, no. 6-7, pp. 844–849, 2006
  12. Some qualitative properties of solutions of the system governing acoustic waves in bubbly liquids
    International Journal of Engineering Science, vol. 44, no. 17, pp. 1146–1155, 2006
  13. On the spatial blow-up and decay for some nonlinear parabolic equations with nonlinear boundary conditions
    Zeitschrift für angewandte Mathematik und Physik, vol. 57, no. 4, pp. 595–603, 2006
  14. On the Rate of Decay of the Oseen Semigroup in Exterior Domains and its Application to Navier–Stokes Equation
    Journal of Mathematical Fluid Mechanics, vol. 7, no. 3, pp. 339–367, 2005
  15. Exponential decay in mixtures with localized dissipative term
    Applied Mathematics Letters, vol. 18, no. 12, pp. 1381–1388, 2005
  16. Existence and exponential decay in the linear theory of viscoelastic mixtures
    European Journal of Mechanics - A/Solids, vol. 24, no. 2, pp. 311–324, 2005
  17. Exponential stability in thermoelasticity with microtemperatures
    International Journal of Engineering Science, vol. 43, no. 1-2, pp. 33–47, 2005
  18. Thermal stresses in microstretch elastic plates
    International Journal of Engineering Science, 2005
  19. Saint-Venant decay rates for a non-homogeneous isotropic mixture of elastic solids in anti-plane shear
    International Journal of Solids and Structures, vol. 42, no. 9-10, pp. 2977–3000, 2005
  20. A note on semigroup arguments in nonstandard problems
    Journal of Mathematical Analysis and Applications, 2005
  21. Exponential decay in one-dimensional porous-thermo-elasticity
    Mechanics Research Communications, vol. 32, no. 6, pp. 652–658, 2005
  22. Energy bounds for some non-standard problems in thermoelasticity
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 461, no. 2056, pp. 1147–1162, 2005
  23. Local energy decay of solutions to the Oseen equation in the exterior domains
    Indiana University Mathematics Journal, vol. 53, no. 5, pp. 1291–1330, 2004
  24. On a Resolvent Estimate of a System of Laplace Operators with Perfect Wall Condition
    Funkcialaj Ekvacioj, vol. 47, no. 3, pp. 361–394, 2004
  25. Energy Methods for Problems with Nonhomogeneous Boundary Conditions
    Acta Applicandae Mathematicae, vol. 82, no. 2, pp. 145–167, 2004
  26. Exponential Stability of Solutions of Swelling Porous Elastic Soils
    Meccanica, vol. 39, no. 2, pp. 139–145, 2004
  27. A note on discontinuity waves in type III thermoelasticity
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 460, no. 2044, pp. 1169–1175, 2004
  28. Spatial decay of transient end effects for nonstandard linear diffusion problems
    IMA Journal of Applied Mathematics, vol. 70, no. 1, pp. 119–128, 2004
  29. Comparison arguments and decay estimates in non-linear viscoelasticity
    International Journal of Non-Linear Mechanics, vol. 39, no. 1, pp. 55–61, 2004
  30. Exponential stability in porous media problem saturated by multiple immiscible fluids
    Applied Mathematics and Computation, vol. 150, no. 3, pp. 661–668, 2004
  31. On the plane strain of thermo-microstretch elastic solids
    International Journal of Engineering Science, vol. 42, no. 19-20, pp. 1957–1972, 2004
  32. On existence, structural stability, convergence and spatial behavior in thermoelasticity with two temperatures
    Acta Mechanica, vol. 168, no. 1-2, pp. 61–73, 2004
  33. Spatial Stability for the Quasi-static Problem of Thermoelasticity
    Journal of Elasticity, vol. 76, no. 2, pp. 93–105, 2004
  34. On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion
    Mathematical Methods in the Applied Sciences, vol. 27, no. 13, pp. 1579–1606, 2004
  35. Spatial behaviour of solutions of the dual-phase-lag heat equation
    Mathematical Methods in the Applied Sciences, vol. 28, no. 1, pp. 43–57, 2004
  36. Thermoelasticity without energy dissipation of nonsimple materials
    ZAMM, vol. 83, no. 3, pp. 172–180, 2003
  37. On the dynamical and static problems in magneto-elasticity
    Zeitschrift f�r Angewandte Mathematik und Physik (ZAMP), vol. 54, no. 3, pp. 424–436, 2003
  38. On the asymptotic behaviour of solutions of some nonlinear elliptic and parabolic equations
    Nonlinear Analysis, vol. 52, no. 4, pp. 1275–1293, 2003
  39. On the spatial decay of solutions for a class of diffusion-reaction equations
    Nonlinear Analysis, vol. 53, no. 7-8, pp. 1079–1087, 2003
  40. Slow decay for one-dimensional porous dissipation elasticity
    Applied Mathematics Letters, vol. 16, no. 4, pp. 487–491, 2003
  41. Does the maximum principle hold for anti-plane shear deformations in elastic mixtures?
    Mechanics Research Communications, vol. 30, no. 1, pp. 21–24, 2003
  42. Convergence and structural stability in thermoelasticity1
    Applied Mathematics and Computation, vol. 135, no. 2-3, pp. 287–300, 2003
  43. On a resolvent estimate of the interface problem for the Stokes system in a bounded domain
    Journal of Differential Equations, vol. 191, no. 2, pp. 408–444, 2003
  44. On the decay of solutions to the 2D Neumann exterior problem for the wave equation
    Journal of Differential Equations, vol. 194, no. 1, pp. 221–236, 2003
  45. Anti-plane shear deformations of swelling porous elastic soils
    International Journal of Engineering Science, vol. 41, no. 8, pp. 801–816, 2003
  46. On the uniqueness and spatial behaviour of anti-plane shear deformations of swelling porous elastic soils backward in time
    International Journal of Engineering Science, vol. 41, no. 16, pp. 1815–1826, 2003
  47. A CONDITION ON THE DELAY PARAMETERS IN THE ONE-DIMENSIONAL DUAL-PHASE-LAG THERMOELASTIC THEORY
    Journal of Thermal Stresses, vol. 26, no. 7, pp. 713–721, 2003
  48. On existence and stability in the theory of swelling porous elastic soils
    IMA Journal of Applied Mathematics, vol. 68, no. 5, pp. 491–506, 2003
  49. EXISTENCE IN THERMOELASTICITY WITHOUT ENERGY DISSIPATION
    Journal of Thermal Stresses, vol. 25, no. 2, pp. 195–202, 2002
  50. ON A THEORY OF INTERACTING CONTINUA WITH MEMORY
    Journal of Thermal Stresses, vol. 25, no. 12, pp. 1161–1177, 2002
  51. Uniqueness in exterior domains for the generalized heat conduction
    Applied Mathematics Letters, vol. 15, no. 4, pp. 473–479, 2002
  52. Exponential Stability in the Dual-Phase-Lag Heat Conduction Theory
    Journal of Non-Equilibrium Thermodynamics, vol. 27, no. 3, pp. 217–227, 2002
  53. On the linear problem of swelling porous elastic soils with incompressible fluid
    International Journal of Engineering Science, vol. 40, no. 13, pp. 1485–1494, 2002
  54. On the linear problem of swelling porous elastic soils
    Journal of Mathematical Analysis and Applications, vol. 269, no. 1, pp. 50–72, 2002
  55. Spatial and continuous dependence estimates in linear viscoelasticity
    Journal of Mathematical Analysis and Applications, vol. 273, no. 1, pp. 1–16, 2002
  56. Exponential stability for one-dimensional problem of swelling porous elastic soils with fluid saturation
    Journal of Computational and Applied Mathematics, vol. 145, no. 2, pp. 525–533, 2002
  57. Thermoelasticity without energy dissipation of materials with microstructure
    Applied Mathematical Modelling, vol. 26, no. 12, pp. 1125–1137, 2002
  58. Damping of end effects in a thermoelastic theory
    Applied Mathematics Letters, vol. 14, no. 2, pp. 137–141, 2001
  59. Instability and non-existence in the nonlinear theory of thermoelasticity without energy dissipation
    Continuum Mechanics and Thermodynamics, vol. 13, no. 2, pp. 121–129, 2001
  60. Spatial decay estimates for heat-conducting fluids
    Continuum Mechanics and Thermodynamics, vol. 13, no. 6, pp. 415–420, 2001
  61. End effects in thermoelasticity
    Mathematical Methods in the Applied Sciences, vol. 24, no. 2, pp. 93–102, 2001
  62. A Decay Property of the Fourier Transform and its Application to the Stokes Problem
    Journal of Mathematical Fluid Mechanics, vol. 3, no. 3, pp. 213–230, 2001
  63. Saint-Venant End Effects in Antiplane Shear for Functionally Graded Linearly Elastic Materials
    Mathematics and Mechanics of Solids, vol. 6, no. 2, pp. 115–132, 2001
  64. On Uniqueness and Continuous Dependence in the Nonlinear Theory of Mixtures of Elastic Solids with Voids
    Mathematics and Mechanics of Solids, vol. 6, no. 3, pp. 281–298, 2001
  65. ON A THEORY OF THERMOELASTICITY WITH MICROTEMPERATURES
    Journal of Thermal Stresses, vol. 23, no. 3, pp. 199–215, 2000
  66. Growth and uniqueness in thermoelasticity
    Proceedings: Mathematical, Physical and Engineering Sciences, vol. 456, no. 1998, pp. 1419–1429, 2000
  67. On the rate of decay of solutions to linear viscoelastic equation
    Mathematical Methods in the Applied Sciences, vol. 23, no. 3, pp. 203–226, 2000
  68. Decay Estimates of Solutions for the Equations of Motion of Compressible Viscous and Heat-Conductive Gases in an Exterior Domain in ℝ 3
    Communications in Mathematical Physics, vol. 200, no. 3, pp. 621–659, 1999
  69. A note on end effects for prestressed constrained elastic cylinders
    International Journal of Engineering Science, vol. 37, no. 11, pp. 1481–1486, 1999
  70. ON THE SPATIAL BEHAVIOR IN THERMOELASTICITY WITHOUT ENERGY DISSIPATION
    Journal of Thermal Stresses, vol. 22, no. 2, pp. 213–224, 1999
  71. Meccanica, vol. 33, no. 6, pp. 601–604, 1998
  72. Phragmen-Lindelof alternative in nonlinear viscoelasticity
    Nonlinear Analysis, vol. 34, no. 1, pp. 7–16, 1998
  73. Existence, uniqueness and asymptotic behaviour of solutions to the equations of viscoelasticity with voids
    International Journal of Solids and Structures, vol. 35, no. 25, pp. 3347–3361, 1998
  74. Spatial behaviour for quasilinear parabolic equations in cylinders and cones
    NoDEA : Nonlinear Differential Equations and Applications, vol. 5, no. 2, pp. 137–146, 1998
  75. On the Oseen equation in the three dimensional exterior domains
    Mathematische Annalen, vol. 310, no. 1, pp. 1–45, 1998
  76. A Linear Thermoelastic Plate Equation with Dirichlet Boundary Condition
    Mathematical Methods in the Applied Sciences, vol. 20, no. 11, pp. 915–932, 1997
  77. Spatial bounds and growth estimates for the heat equation with three relaxation times
    Mathematical Methods in the Applied Sciences, vol. 20, no. 15, pp. 1335–1344, 1997
  78. Journal of Elasticity, vol. 46, no. 3, pp. 239–254, 1997
  79. Mathematical Models and Methods in Applied Sciences, vol. 7, no. 5, p. 633, 1997
  80. SIAM Journal on Mathematical Analysis, vol. 27, no. 1, Article ID 0527006, 1996
  81. On Saint-Venant's principle in linear elastodynamics
    Journal of Elasticity, vol. 42, no. 3, pp. 201–215, 1996
  82. Spatial decay estimates of saint-venant type in generalized thermoelasticity
    International Journal of Engineering Science, vol. 34, no. 3, pp. 299–311, 1996
  83. Global in time existence of small solutions of non-linear thermoviscoelastic equations
    Mathematical Methods in the Applied Sciences, vol. 18, no. 11, pp. 871–895, 1995
  84. Decay estimates and energy bounds for porous elastic cylinders
    ZAMP Zeitschrift f�r angewandte Mathematik und Physik, vol. 46, no. 2, pp. 268–281, 1995
  85. EXISTENCE OF SOLUTIONS OF THE EQUATIONS OF INCREMENTAL THERMOELASTICITY FOR UNBOUNDED DOMAINS
    Journal of Thermal Stresses, vol. 18, no. 1, pp. 1–12, 1995
  86. Existence and continuous dependence results in the theory of interacting continua
    Journal of Elasticity, vol. 36, no. 1, pp. 85–98, 1994
  87. On global solvability of non-linear viscoelastic equations in the analytic category
    Mathematical Methods in the Applied Sciences, vol. 17, no. 6, pp. 477–486, 1994
  88. Existence and continuous dependence results in the theory of microstretch elastic bodies
    International Journal of Engineering Science, vol. 32, no. 6, pp. 991–1001, 1994
  89. On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity
    Mathematische Annalen, vol. 296, no. 1, pp. 215–234, 1993
  90. Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity
    Archive for Rational Mechanics and Analysis, vol. 116, no. 1, pp. 1–34, 1991
  91. On some nonlinear hyperbolic systems with damping boundary conditions1
    Nonlinear Analysis, vol. 17, no. 3, pp. 233–266, 1991
  92. On a local existence theorem of Neumann problem for some quasilinear hyperbolic systems of 2nd order
    Mathematische Zeitschrift, vol. 202, no. 1, pp. 1–64, 1989
  93. On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition
    Journal of Differential Equations, vol. 80, no. 1, pp. 154–197, 1989
  94. Asymptotic behaviour in incremental thermoelasticity
    Journal of Mathematical Analysis and Applications, vol. 125, no. 1, pp. 154–160, 1987
  95. Local existence of solution for the initial boundary value problem of fully nonlinear wave equation
    Nonlinear Analysis, vol. 11, no. 3, pp. 335–365, 1987
  96. On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain
    Mathematische Zeitschrift, vol. 191, no. 2, pp. 165–199, 1986
  97. On existence and uniqueness in incremental thermoelasticity
    ZAMP Zeitschrift f�r angewandte Mathematik und Physik, vol. 35, no. 2, pp. 206–215, 1984