Asymptotic behavior for scalar viscous conservation laws with boundary effect

Journal of Differential Equations

Volumn 133, Issue 2, 1997, Pages 296-320

  Liu, Tai Ping ^b   Nishihara, Kenji ^a  

^a WASEDA UNIVERSITY   (Japan)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031579044     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.3217     Document Type: Article

References (7)

1. 1. A. M. Il'in and O. A. Oleinik, Asymptotic behavior of the solutions of Cauchy problem for certain quasilinear equations for large time (Russian), Mat. Sbornik 51 (1960), 191-216.
2. 2. S. Kawashima and A. Matsumura, Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion, Commun. Math. Phys. 101 (1985), 97-127.
3. 3. S. Kawashima and A. Matsumura, Stability of shock profiles in viscoelasticity with non-convex constitutive relations, Commun. Pure Appl. Math. XLVII (1994), 1547-1569.
4. 4. T.-P. Liu and S.-H. Yu, Propagation of stationary viscous Burgers shock under the effect of boundary, Arch. Rational Mech. Anal., to appear.
5. 5. A. Matsumura and K. Nishihara, Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity, Commun. Math. Phys. 165 (1994), 83-96.
6. 6. K. Nishihara, Stability of traveling waves with degenerate shock for system of one-dimensional viscoelastic model, J. Differential Equations 120 (1995), 304-318.
7. 7. S.-H. Yu, The asymptotic behavior of the Burgers equation on the quarter plane, preprint.