| Title:
|
On the Neumann problem of one-dimensional nonlinear thermoelasticity with time-independent external forces (English) |
| Author:
|
Kawashima, Shuichi |
| Author:
|
Shibata, Yoshihiro |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
39-67 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35A05 |
| MSC:
|
35B40 |
| MSC:
|
35B65 |
| MSC:
|
35Q72 |
| MSC:
|
73B30 |
| idZBL:
|
Zbl 0837.35142 |
| idMR:
|
MR1314530 |
| DOI:
|
10.21136/CMJ.1995.128510 |
| . |
| Date available:
|
2009-09-24T09:44:29Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128510 |
| . |
| Reference:
|
[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. MR 0860899, 10.1090/qam/860899 |
| Reference:
|
[2] W. Dan: On a local in time solvability of the Neumann problem of quasilinear hyperbolic parabolic coupled systems.(to appear). Zbl 0841.35003, MR 1357364 |
| Reference:
|
[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. MR 1057652, 10.1007/BF00375405 |
| Reference:
|
[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. MR 1031681, 10.1090/qam/1031681 |
| Reference:
|
[5] S. Jiang: Global existence of smooth solutions in one-dimensional nonlinear thermoelasticity.Proc. Roy. Soc. Edinburgh 115 A (1990), 257–274. Zbl 0723.35044, MR 1069521 |
| Reference:
|
[6] S. Jiang: Global solutions of the Dirichlet problem in one-dimensional nonlinear thermoelasticity.SFB 256 Preprint 138, Universität Bonn (1990). |
| Reference:
|
[7] S. Jiang: Global solutions of the Neumann problem in one-dimensional nonlinear thermoelasticity.Nonlinear Analysis TMA 19(2) (1992), 107–121. Zbl 0786.73009, MR 1174462, 10.1016/0362-546X(92)90114-T |
| Reference:
|
[8] S. Kawashima: Systems of a hyperbolic-parabolic composite type, with applications to the equations of magnetohydrodynamics.Thesis, Kyoto University (1983). |
| Reference:
|
[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 0694940 |
| Reference:
|
[10] J. E. Muñoz Rivera: Energy decay rates in linear thermoelasticity.Funkcial Ekvac 35 (1992), 19–30. MR 1172418 |
| Reference:
|
[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. MR 1130241, 10.1007/BF00375601 |
| Reference:
|
[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. MR 1247439, 10.1090/qam/1247439 |
| Reference:
|
[13] Y. Shibata: Neumann problem for one-dimensional nonlinear thermoelasticity.Banach Center Publication 27 (1992), 457–480. MR 1205848, 10.4064/-27-2-457-480 |
| Reference:
|
[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. MR 0629700, 10.1007/BF00251248 |
| Reference:
|
[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 0942420 |
| . |
