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Existence and asymptotic behavior of solutions to inhomogeneous equations of elasticity with little viscosity

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Publication:3970949
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DOI10.1016/0362-546X(91)90223-NzbMath0753.35054MaRDI QIDQ3970949

Yun-Guang Lu

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)


zbMATH Keywords

Cauchy probleminvariant regionslinear degeneration


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Vibrations in dynamical problems in solid mechanics (74H45) Second-order nonlinear hyperbolic equations (35L70)


Related Items

Existence and asymptotic behavior of solutions to 2 ∗ 2 hyperbolic quadratic conservation laws with small viscosity, Viscous solutions of quadratic conservation laws with umbilic points



Cites Work

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  • Asymptotic stability of rarefaction waves for 2\(\times 2\) viscous hyperbolic conservation laws
  • Asymptotic behavior of solutions of initial problem to systems of gas dynamics with viscous term
  • Positively invariant regions for a problem in phase transitions
  • Estimates for Conservation Laws with Little Viscosity
  • Nonlinear stability of shock waves for viscous conservation laws
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