| Shuichi Kawashima | Last modified date：2013.5.13 |
Professor /
Department of Mathematical Sciences /
Faculty of Mathematics
Papers
| 1. | Y. Liu, Shuichi Kawashima,Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory,Nonlinear Analysis, TMA,Vol.84,2013.06. |
| 2. | R. Kobayashi, M. Yamamoto, Shuichi Kawashima,Asymptotic stability of stationary solutions to the drift-diffusion model in the whole space,ESAIM: Control, Optimisation and Calculus of Variations,Vol.18,2012.10. |
| 3. | Y. Ueda, R.-J. Duan, Shuichi Kawashima,Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its applications,Arch. Rat. Mech. Anal.,Vol.205,2012.07. |
| 4. | Y. Ueda, S. Wang, Shuichi Kawashima,Dissipative structure of the regularity-loss type and time asymptotic decay of solutions for the Euler-Maxwell system,SIAM J. Math. Anal.,Vol.44,2012.06. |
| 5. | P.M.N. Dharmawardane, Tohru Nakamura, Shuichi Kawashima,Decay estimates of solutions for quasi-linear hyperbolic systems of viscoelasticity,SIAM J. Math. Anal.,Vol.44,2012.06. |
| 6. | Y. Liu and S. Kawashima,Decay property for the Timoshenko system with memory-type dissipation,Math. Models Meth. Appl. Sci.,22,2012.02. |
| 7. | S. Kawashima, C.-K. Lin and J.-I. Segata,The initial value problem for some hyperbolic-dispersive system,Math. Meth. Appl. Sci.,35, 125-133,2012.01. |
| 8. | Y. Ueda and S. Kawashima,Decay property of regularity-loss type for the Euler-Maxwell system,Methods and Applications of Analysis,18, 245--268,2011.09. |
| 9. | S. Kawashima,Decay structure for systems of viscoelasticity,Math. Sci. Appl., Proceedings of the International Cenference "Mathematical Analysis on the Navier-Stokes equations and Related Topics, Past and Future -- in memory of Professor Tetsuro Miyakawa", 35, 91--102,2011.10. |
| 10. | P.M.N. Dharmawardane, T. Nakamura and S. Kawashima,Time weighted energy method for quasi-linear hyperbolic systems of viscoelasticity,Proc. Japan Acad.,87, 99--102,2011.05. |
| 11. | Y. Liu and S. Kawashima,Decay property for a plate equation with memory-type dissipation,Kinetic and Related Models,4, 531--547,2011.06. |
| 12. | Y. Liu and S. Kawashima,Global existence and decay of solutions for a quasi-linear dissipative plate equation,J. Hyperbolic Differential Equations,8, 591--614,2011.09. |
| 13. | P.M.N. Dharmawardane, T. Nakamura and S. Kawashima,Global solutions to quasi-linear hyperbolic systems of viscoelasticity,Kyoto J. Math.,51, 467--483,2011.05. |
| 14. | Y. Ueda, T. Nakamura and S. Kawashima,Energy method in the partial Fourier space and application to stability problems in the half space,J. Diff. Equations,250, 1169--1199,2011.04. |
| 15. | Y. Liu and S. Kawashima,Global existence and asymptotic behavior of solutions for quasi-linear dissipative plate equation,Discrete Continuous Dynamical Systems, A ,29, 1113-1139.,2011.03. |
| 16. | Y. Liu and S. Kawashima,Asymptotic behavior of solutions to a model system of a radiating gas,Comm. Pure Appl. Anal.,10, 209-223.,2011.01. |
| 17. | S. Kawashima and P. Zhu,Traveling waves for models of phase transitions of solids driven by configurational forces,Discrete Continuous Dynamical Systems, B,15, 309-323.,2011.01. |
| 18. | S. Kawashima, T. Nakamura, S. Nishibata and P. Zhu,Stationary waves to viscous heat-conductive gases in half space: Existence, stability and convergence rate,Math. Models Meth. Appl. Sci.,20, 2201-2235.,2010.12. |
| 19. | T. Nakamura, Y. Ueda and S. Kawashima,Convergence rate toward degenerate stationary wave for compressible viscous gases,Proceedings of the 6th International Conference on Nonlinear Analysis and Convex Analysis,Vol.67,pp.239-248,2010.09. |
| 20. | Y. Sugitani and S. Kawashima,Decay estimates of solutions to a semi-linear dissipative plate equation,J. Hyperbolic Differential Equations,7, 471-501. ,2010.05. |
| 21. | Y. Ueda, T. Nakamura and S. Kawashima,Stability of degenerate stationary waves for viscous gases,Arch. Rat. Mech. Anal.,198, 735-762.,2010.12. |
| 22. | P.M.N. Dharmawardane, J.M. Rivera and S. Kawashima,Decay property for second order hyperbolic systems of viscoelastic materials,J. Math. Anal. Appl.,366, 621-635.,2010.06. |
| 23. | I. Hashimoto, Y. Ueda and S. Kawashima,Convergence rate to the nonlinear waves for viscous conservation laws on the half line,Methods and Applications of Analysis,16, 389-402.,2009.12. |
| 24. | S. Kawashima and P. Zhu,Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half space,Arch. Rat. Mech. Anal.,194, 105-132.,2009.12. |
| 25. | Y. Ueda, T. Nakamura and S. Kawashima,Stability of planar stationary waves for damped wave equations with nonlinear convection in half space,Hyperbolic Problems: Theory, Numerics and Applications (E. Tadmor, J.-G. Liu and A. Tzavaras, eds.), Proceedings of Symposia in Applied Mathematics,Vol.67,pp.977-986,2009.10. |
| 26. | H. Hataya and S. Kawashima,Decaying solution of the Navier-Stokes flow of infinite volume without surface tension,Nonlinear Analysis, T.M.A.,71, 2535-2539.,2009.10. |
| 27. | T. Kubo and S. Kawashima,Decay property of regularity-loss type and nonlinear effects for some hyperbolic-elliptic system,Kyushu J. Math.,63, 1-21. ,2009.03. |
| 28. | S. Kawashima and M. Kurata,Hardy type inequality and application to the stability of degenerate stationary waves,J. Func. Anal.,257, 1-19.,2009.01. |
| 29. | R. Kobayashi, M. Kurokiba and S. Kawashima,Stationary solutions to the drift-diffusion model in the whole space,Math. Meth. Appl. Sci.,32, 640-652.,2009.01. |
| 30. | S. Kawashima and W.-A. Yong,Decay estimates for hyperbolic balance laws,J. Anal. Appl.,28, 1-33.,2009.01. |
| 31. | R. Kobayashi and S. Kawashima,Decay estimates and large time behavior of solutions to the drift-diffusion system,Funkcialaj Ekvacioj,51, 371-394.,2008.05. |
| 32. | S. Kawashima and P. Zhu,Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space,J. Diff. Equations,244, 3151-3179.,2008.05. |
| 33. | K. Ide and S. Kawashima,Decay property of regularity-loss type and nonlinear effects for dissipative Timoshenko system,Math. Models Meth. Appl. Sci.,18, 1001-1025.,2008.05. |
| 34. | K. Ide, K. Haramoto and S. Kawashima,Decay property of regularity-loss type for dissipative Timoshenko system,Math. Models Meth. Appl. Sci.,18, 647-667.,2008.05. |
| 35. | Y. Ueda, T. Nakamura and S. Kawashima,Stability of planar stationary waves for damped wave equations with nonlinear convection in multi-dimensional half space,Kinetic and Related Models,1, 49-64.,2008.01. |
| 36. | S. Kawashima,Dissipative structure of regularity-loss type and applications,Hyperbolic Problems: Theory, Numerics, Applications,45-57,2008.01. |
| 37. | Y. Ueda and S. Kawashima,Large time behavior of solutions to a semilinear hyperbolic system with relaxation,J. Hyperbolic Differential Equations,4, 147-179.,2007.01. |
| 38. | T. Hosono and S. Kawashima,Decay property of regularity-loss type and application to some nonlinear hyperbolic-elliptic system,Math. Models Meth. Appl. Sci.,16, 1839-1859,2006.01. |
| 39. | Y. Kagei and S. Kawashima,Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space,Commun. Math. Phys.,266, 401-430.,2006.01. |
| 40. | Y. Kagei and S. Kawashima,Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system,J. Hyperbolic Differential Equations,3, 195-232.,2006.01. |
| 41. | S.Kawashima and W.-A. Yong,Dissipative structure and entropy for hyperbolic systems of balance laws,Arch. Rat. Mech. Anal,Vol.174,No.3,174, 345-364.,2004.01. |
| 42. | S. Kawashima, S. Nishibata and M. Nishikawa,$L^p$ energy method for multi-dimensional viscous conservation laws and application to the stability of planar waves,J. Hyperbolic Differential Equations,Vol.1,No.3,1, 581-603.,2004.01. |
| 43. | S.Kawashima and Y. Tanaka,Stability of rarefaction waves for a model system of a radiating gas,Kyushu J. Math.,58, 211-250,2004.01. |
| 44. | S. Kawashima, S. Nishibata and P. Zhu,Asymptotic stability of the stationary solution to compressible Navier-Stokes equations in the half-space,Commun. Math. Phys.,Vol.240,No.3,240, 483-500.,2003.01. |
| 45. | Y. Nikkuni and S. Kawashima,Asymptotic stability of rarefaction waves for some discrete velocity model of the Boltzmann equation in the half-space,Adv. Math. Sci. Appl.,12, 327-353,2002.01. |
| 46. | T. Iguchi and S. Kawashima,On space-time decay properties of solutions to hyperbolic-elliptic coupled systems,Hiroshima Math. J.,32, 229-308.,2002.01. |
| 47. | S. Kawashima and S. Nishibata,Existence of a stationary wave for the discrete Boltzmann equation in the half space,Commun. Math. Phys.,Vol.207,No.2,207, 385-409.,1999.01. |
| 48. | S. Kawashima and S. Nishibata,Shock waves for a model system of the radiating gas,SIAM J. Math. Anal.,Vol.30,No.1,30, 95-117.,1998.01. |
| 49. | S. Kawashima and H. Hattori,Existence of shock profiles for viscoelastic materials with memory,SIAM J. Math. Anal.,Vol.26,No.5,26, 1130-1142.,1995.01. |
| 50. | S. Kawashima and A. Matsumura,Stability of shock profiles in viscoelasticity with non-convex constitutive relations,Comm. Pure Appl. Math.,Vol.47,No.12,47, 1547-1569.,1994.01. |
| 51. | S. Kawashima,Global solutions to the initial-boundary value problems for the discrete Boltzmann equation,Nonlinear Analysis, T.M.A.,Vol.17,No.6,14, 577-597.,1991.01. |
| 52. | S. Kawashima,The Boltzmann equation and thirteen moments,Japan J. Appl. Math.,7, 301-320.,1990.01. |
| 53. | S. Kawashima and Y. Shizuta,On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws,Tohoku Math. J.,Vol.40,No.3,40, 449-464.,1988.01. |
| 54. | S. Kawashima,Large-time behaviour of solutions to hyperbolic-parabolic systems of conservation laws and applications,Proc. Roy. Soc. Edinburgh,106A, 169-194.,1987.01. |
| 55. | S. Kawashima and A. Matsumura,Asymptotic stability traveling wave solutions of systems for one-dimensional gas motion,Commun. Math. Phys.,101, 97-127.,1985.01. |
| 56. | S. Kawashima and Y. Shizuta,Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation,Hokkaido Math. J.,14, 249-275.,1985.01. |
| 57. | T. Umeda, S. Kawashima and Y. Shizuta,On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics,Japan J. Appl. Math.,1, 207-222.,1984.01. |
| 58. | S. Kawashima and M. Okada,Smooth global solutions for the one-dimensional equations in magnetohydrodynamics,Proc. Japan Acad.,58,384-387.,1982.01. |
| 59. | S. Kawashima, A. Matsumura, and T. Nishida,On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation,,Commun. Math. Phys.,,70, 97-124.,1979.01. |
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