Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity

Author:

Matsumura Akitaka,Nishihara Kenji

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference9 articles.

1. Il'in, A.M., Oleinik, O.A.: Asymptotic behavior of the solutions of the Cauchy problem for certain quasilinear equations for large time (Russian). Mat. Sbornik51, 191–216 (1960)

2. Jones, C., Gardner, R., Kapitula, T.: Stability of travelling waves for non-convex scalar viscous conservation laws. Commun. Pure Appl. Math.46, 505–526 (1993)

3. Kawashima, S., Matsumura, A.: Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion. Commun. Math. Phys.101, 97–127 (1985)

4. Kawashima, S., Matsumura, A.: Stability of shock profiles in viscoelasticity with non-convex constitutive relations. To appear

5. Lax, P.D.: Hyperbolic systems of conservation laws II. Commun. Pure Appl. Math.10, 537–566 (1957)

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