The Riemann problem for the system \(u_ t+\sigma _ x=0\) and \((\sigma - f(u))_ t+(\sigma -\mu f(u))=0\)
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Publication:760599
DOI10.1007/BF00251726zbMath0555.35083OpenAlexW1963884663MaRDI QIDQ760599
Ling Hsiao, James M. Greenberg
Publication date: 1983
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00251726
asymptotic behaviourshock wavepropagationtraveling wavejump discontinuitymotion of a viscoelastic solid
Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60)
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Cites Work
- A priori estimates for flows in dissipative materials
- The existence and qualitative properties of solutions of \((\partial u/\partial t) + {1 \over 2} (\partial/\partial x) [u^2 + \int\limits_0^t c(s) u^2(x,t-s)ds=0\)]
- Solutions in the large for nonlinear hyperbolic systems of equations
- Existence of steady waves for a class of nonlinear dissipative materials
