Asymptotics toward the rarefaction wave of the solutions of burgers' equation with nonlinear degenerate viscosity
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Publication:4316984
DOI10.1016/0362-546X(94)90239-9zbMath0811.35127OpenAlexW1971518206MaRDI QIDQ4316984
Kenji Nishihara, Akitaka Matsumura
Publication date: 19 December 1994
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(94)90239-9
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)
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Cites Work
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- Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
- Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas
- Some nonlinear degenerate diffusion equations related to population dynamics
- A note on the stability of the rarefaction wave of the Burgers equation
- Asymptotic Behavior for a Nonlinear Degenerate Diffusion Equation in Population Dynamics
- On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
- Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
- A note on the stability of travelling wave solutions of Burgers’ equation
- Nonlinear stability of shock waves for viscous conservation laws
