메뉴 건너뛰기




Volumn 145, Issue 2-3, 2003, Pages 569-577

Existence of almost everywhere solution for nonlinear hyperbolic-parabolic system

Author keywords

Existance theorem; Galorkin method; Nonlinear thermoelasticity

Indexed keywords

COMPUTATIONAL METHODS; GALERKIN METHODS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; THEOREM PROVING;

EID: 0041520673     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00430-7     Document Type: Article
Times cited : (9)

References (15)
  • 1
    • 0042181925 scopus 로고
    • A mixed problem for a system of second order hyperbolic-parabolic equations with retarded argument
    • Khalifa M.E. A mixed problem for a system of second order hyperbolic-parabolic equations with retarded argument. Akad. Nauk. Azerbaidzhan. SSR Dokl. 35(4):1979;7-12.
    • (1979) Akad. Nauk. Azerbaidzhan. SSR Dokl. , vol.35 , Issue.4 , pp. 7-12
    • Khalifa, M.E.1
  • 2
    • 0041681197 scopus 로고
    • Continuous dependence of a generalized solution of a mixed problem for a system of hyperbolic-parabolic second order equations with retarded argument
    • Khalifa M.E. Continuous dependence of a generalized solution of a mixed problem for a system of hyperbolic-parabolic second order equations with retarded argument. Azerbaidzhan. Gos. Univ. Uchen. Zap. (2):1979;65-69.
    • (1979) Azerbaidzhan. Gos. Univ. Uchen. Zap. , Issue.2 , pp. 65-69
    • Khalifa, M.E.1
  • 3
    • 0011678118 scopus 로고
    • On smooth solutions of the Cauchy problem in one-dimensional nonlinear thermoelasticity
    • Hrusa W.J., Tarabek M.A. On smooth solutions of the Cauchy problem in one-dimensional nonlinear thermoelasticity. Quart. Appl. Math. 47(4):1989;631-644.
    • (1989) Quart. Appl. Math. , vol.47 , Issue.4 , pp. 631-644
    • Hrusa, W.J.1    Tarabek, M.A.2
  • 4
    • 0019664632 scopus 로고
    • Global existence, uniqueness, and asymptotic stability of classical solutions in one-dimensional nonlinear thermoelasticity
    • Slemrod M. Global existence, uniqueness, and asymptotic stability of classical solutions in one-dimensional nonlinear thermoelasticity. Arch. Rational Mech. Anal. 76:1981;97-133.
    • (1981) Arch. Rational Mech. Anal. , vol.76 , pp. 97-133
    • Slemrod, M.1
  • 5
    • 38249017530 scopus 로고
    • Global existence of small solutions to the initial value problem for nonlinear thermoelasticity
    • Ponce G., Racke R. Global existence of small solutions to the initial value problem for nonlinear thermoelasticity. J. Differential Equations. 87:1990;70-83.
    • (1990) J. Differential Equations , vol.87 , pp. 70-83
    • Ponce, G.1    Racke, R.2
  • 6
    • 0001015846 scopus 로고
    • On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound
    • Tarabek M. On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound. Quart. Appl. Math. 50(4):1992;727-742.
    • (1992) Quart. Appl. Math. , vol.50 , Issue.4 , pp. 727-742
    • Tarabek, M.1
  • 7
    • 0027835897 scopus 로고
    • Global solvability and exponential stability in one-dimensional thermoelasticity
    • Racke R., Shibata Y., Zheng S. Global solvability and exponential stability in one-dimensional thermoelasticity. Quart. Appl. Math. 51(4):1993;751-763.
    • (1993) Quart. Appl. Math. , vol.51 , Issue.4 , pp. 751-763
    • Racke, R.1    Shibata, Y.2    Zheng, S.3
  • 8
    • 0000599048 scopus 로고
    • On the energy decay of a linear thermoelastic bar
    • Burns J.A., Liu Z., Zheng S. On the energy decay of a linear thermoelastic bar. J. Math. Anal. Appl. 179:1993;574-591.
    • (1993) J. Math. Anal. Appl. , vol.179 , pp. 574-591
    • Burns, J.A.1    Liu, Z.2    Zheng, S.3
  • 9
    • 0033411689 scopus 로고    scopus 로고
    • Decay rates for the three-dimensional linear system of thermoelasticity
    • Lebeau G., Zuazua E. Decay rates for the three-dimensional linear system of thermoelasticity. Arch. Rational Mech. Anal. 148(3):1999;179-231.
    • (1999) Arch. Rational Mech. Anal. , vol.148 , Issue.3 , pp. 179-231
    • Lebeau, G.1    Zuazua, E.2
  • 10
    • 0035811830 scopus 로고    scopus 로고
    • Mixed boundary-value problems of two-dimensional anisotropic thermoelasticity with elliptic boundaries
    • Chao C.-K., Gao B. Mixed boundary-value problems of two-dimensional anisotropic thermoelasticity with elliptic boundaries. Internat. J. Solids Structures. 38(34-35):2001;5975-5994.
    • (2001) Internat. J. Solids Structures , vol.38 , Issue.34-35 , pp. 5975-5994
    • Chao, C.-K.1    Gao, B.2
  • 11
    • 0035502205 scopus 로고    scopus 로고
    • On the symmetries and similarity solutions of one-dimensional, non-linear thermoelasticity
    • Kalpakides V.K. On the symmetries and similarity solutions of one-dimensional, non-linear thermoelasticity. Internat. J. Engrg. Sci. 39(16):2001;1863-1879.
    • (2001) Internat. J. Engrg. Sci. , vol.39 , Issue.16 , pp. 1863-1879
    • Kalpakides, V.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.