@article{ASNSP_1983_4_10_3_357_0,
author = {Kim, Jong Uhn},
title = {Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in $BV$ and $L^1$},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {357--427},
year = {1983},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 10},
number = {3},
mrnumber = {739917},
zbl = {0534.73011},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1983_4_10_3_357_0/}
}
TY - JOUR AU - Kim, Jong Uhn TI - Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in $BV$ and $L^1$ JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1983 SP - 357 EP - 427 VL - 10 IS - 3 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1983_4_10_3_357_0/ LA - en ID - ASNSP_1983_4_10_3_357_0 ER -
%0 Journal Article %A Kim, Jong Uhn %T Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in $BV$ and $L^1$ %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1983 %P 357-427 %V 10 %N 3 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1983_4_10_3_357_0/ %G en %F ASNSP_1983_4_10_3_357_0
Kim, Jong Uhn. Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in $BV$ and $L^1$. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 10 (1983) no. 3, pp. 357-427. https://www.numdam.org/item/ASNSP_1983_4_10_3_357_0/
[1] , Complex Analysis, 2nd ed., McGraw-Hill, New York, 1966. | Zbl | MR
[2] , Conservation Laws with Dissipation, in Nonlinear Phenomena in Mathematical Sciences, ed. by U. Lakshimikantham, Academic Press. | Zbl
[3] , Global smooth solutions to the initial-boundary value problem for the equations of one-dimensional nonlinear thermoviscoelasticity, SIAM J. Math. Anal. (to appear). | Zbl | MR
[4] - , Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity, Nonlinear Analysis (to appear). | Zbl | MR
[5] , Solutions in the large for equations of nonisentropic gas dynamics, Indiana Univ. Math. J., 26 (1977), pp. 137-168. | MR
[6] , Solutions to the equations of one dimensional viscoelasticity in BV, LCDS Report 81-13, Brown University (1981).
[7] , Global existence, uniqueness and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity, Arch. Rational Mech. Anal., 76 (1981), pp. 97-134. | Zbl | MR
[8] , Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, 1970. | Zbl | MR





