@article{10_21136_CMJ_1995_128510,
author = {Kawashima, Shuichi and Shibata, Yoshihiro},
title = {On the {Neumann} problem of one-dimensional nonlinear thermoelasticity with time-independent external forces},
journal = {Czechoslovak Mathematical Journal},
pages = {39--67},
year = {1995},
volume = {45},
number = {1},
doi = {10.21136/CMJ.1995.128510},
mrnumber = {1314530},
zbl = {0837.35142},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128510/}
}
TY - JOUR AU - Kawashima, Shuichi AU - Shibata, Yoshihiro TI - On the Neumann problem of one-dimensional nonlinear thermoelasticity with time-independent external forces JO - Czechoslovak Mathematical Journal PY - 1995 SP - 39 EP - 67 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128510/ DO - 10.21136/CMJ.1995.128510 LA - en ID - 10_21136_CMJ_1995_128510 ER -
%0 Journal Article %A Kawashima, Shuichi %A Shibata, Yoshihiro %T On the Neumann problem of one-dimensional nonlinear thermoelasticity with time-independent external forces %J Czechoslovak Mathematical Journal %D 1995 %P 39-67 %V 45 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128510/ %R 10.21136/CMJ.1995.128510 %G en %F 10_21136_CMJ_1995_128510
Kawashima, Shuichi; Shibata, Yoshihiro. On the Neumann problem of one-dimensional nonlinear thermoelasticity with time-independent external forces. Czechoslovak Mathematical Journal, Tome 45 (1995) no. 1, pp. 39-67. doi: 10.21136/CMJ.1995.128510
[1] C. M. Dafermos and L. Hsiao: Development of singularities in solutions of the equations of nonlinear thermoelasticity. Quart. Appl. Math. 44 (1986), 463–474. | DOI | MR
[2] W. Dan: On a local in time solvability of the Neumann problem of quasilinear hyperbolic parabolic coupled systems. (to appear). | MR | Zbl
[3] W. J. Hrusa and S. A. Messaoudi: On formation of singularities in one-dimensional nonlinear thermoelasticity. Arch. Rational Mech. Anal. 111 (1990), 135–151. | DOI | MR
[4] W. J. Hrusa and M. A. Tarabek: On smooth solutions of the Cauchy problem in one-dimensional nonlinear thermoelasticity. Quart. Appl. Math. 47 (1989), 631–644. | DOI | MR
[5] S. Jiang: Global existence of smooth solutions in one-dimensional nonlinear thermoelasticity. Proc. Roy. Soc. Edinburgh 115 A (1990), 257–274. | MR | Zbl
[6] S. Jiang: Global solutions of the Dirichlet problem in one-dimensional nonlinear thermoelasticity. SFB 256 Preprint 138, Universität Bonn (1990).
[7] S. Jiang: Global solutions of the Neumann problem in one-dimensional nonlinear thermoelasticity. Nonlinear Analysis TMA 19(2) (1992), 107–121. | DOI | MR | Zbl
[8] S. Kawashima: Systems of a hyperbolic-parabolic composite type, with applications to the equations of magnetohydrodynamics. Thesis, Kyoto University (1983).
[9] S. Kawashima and M. Okada: Smooth global solutions for the one-dimensional equations in magnetohydrodynamics. Proc. Japan Acad., Ser. A 53 (1982), 384–387. | MR
[10] J. E. Muñoz Rivera: Energy decay rates in linear thermoelasticity. Funkcial Ekvac 35 (1992), 19–30. | MR
[11] R. Racke and Y. Shibata: Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity. Arch. Rational Mech. Anal. 116 (1991), 1–34. | DOI | MR
[12] R. Racke, Y. Shibata and S. Zheng: Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity. Quart Appl. Math. 51 (1993), 751–763. | DOI | MR
[13] Y. Shibata: Neumann problem for one-dimensional nonlinear thermoelasticity. Banach Center Publication 27 (1992), 457–480. | DOI | MR
[14] M. Slemrod: Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional non-linear thermoelasticity. Arch. Rational Mech. Anal. 76 (1981), 97–133. | DOI | MR
[15] S. Zheng and W. Shen: Global solutions to the Cauchy problem of quasilinear hyperbolic parabolic coupled systems. Sci. Sinica, Ser. A 30 (1987), 1133–1149. | MR
Cité par Sources :