MR1627345 Nishikawa, Masataka Masataka NISHIKAWA Convergence rate to the traveling wave for viscous conservation laws Funkcialaj Ekvacioj. Serio Internacia 41 1998 107--132 http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol41/fe41-1-8.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE41-45-en_KML/fe41-107-132/fe41-107-132.pdf http://www.ams.org/mathscinet-getitem?mr=MR1627345 fe41-107-132 1998 Convergence Rate to the Traveling Wave for Viscous Conservation Laws NISHIKAWA, Masataka NISHIKAWA, Masataka
1 Goodman, J. Stability of viscous scalar shock fronts in several dimensions Trans. Amer. Math. Soc. 311 1989 683-695 MR0978372 100 Cache/Go/Goodman,dimensions,Trans*,1989,1990
2 Hokari, H.; Matsumura, A., Asymptotics toward one-dimensional rarefaction wave for the solution of two-dimensional compressible Euler equation with an artificial viscosity, preprint MR1487714
3 I'lin, A. M.; Oleinik, O. A. Asymptotic behavior of solutions of the Cauchy problem for certain quasilinear equations for large time Mat. Sbornik. 51 1960 191-216 MR0120469 Cache/Il/I'lin,quasilinear,Mat*,1960,1961
4 Ito, K. Asymptotic decay toward the planar rarefaction waves of solution for viscous conservation laws in several space dimensions Math. Models Methods Appl. Sci. 6 1996 315-338 MR1388709 94 Cache/It/Ito,conservation,Math*,1996,1997
5 Jones, C.; Gardner, R.; Kapitula, T. Stability of traveling waves for non-convex scalar viscous conservation laws Comm. Pure Appl. Math. 46 1993 505-526 MR1211740 80 Cache/Jo/Jones,conservation,Comm*,1993,1994
6 Kawashima, S.; Matsumura, A. Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion Comm. Math. Phys. 101 1985 97-127 MR0814544 100 Cache/Ka/Kawashima,one-dimensional,Comm*,1985,1986
7 Kawashima, S.; Matsumura, A. Stability of shock profiles in viscoelasticity with non-convex constitutive relations Comm. Pure Appl. Math. XLVII 1994 1547-1569 MR1303220 100 Cache/Ka/Kawashima,viscoelasticity,Comm*,1994,1995
8 Matsumura, A. Asymptotic stability of the traveling wave solutions for the one-dimensional viscous conservation laws Sugaku 48 1996 37-53 37-53 MR1384271 100 Cache/Ma/Matsumura,one-dimensional,Sugaku*,1996,1997
9 Matsumura, A.; Nishihara, K. Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity Comm. Math. Phys. 165 1994 83-96 MR1298944 100 Cache/Ma/Matsumura,conservation,Comm*,1994,1995
10 Mei, M. Stability of shock profiles for nonconvex scalar viscous conservation laws Math. Models Methods Appl. Sci. 5 1995 279-296 MR1330135 Cache/Me/Mei,conservation,Math,*,1995,1996
11 Nishihara, K. A note on the stability of traveling wave solutions of Burgers' equations Japan J. Appl. Math. 2 1985 27-35 MR0839318 91 Cache/Ni/Nishihara,stability,Japan*,1985,1986
12 Nishihara, K. Stability of traveling waves with degenerate shock for system of one-dimensional viscoelastic model J. Differential Equations 120 1995 304-318 MR1347348 100 Cache/Ni/Nishihara,one-dimensional,J*,1995,1996
13 Nishikawa, M. On the stability of viscous shock fronts for certain conservation laws in two dimensional space Diff. Int. Equations 10 1997 1181-1195 MR1608065 92 Cache/Ni/Nishikawa,conservation,Diff*,1997,1998
14 Nishikawa, M.; Nishihara, K., Asymptotics toward the planar rarefacion wave for viscous conservation law in two space dimension, Trans. Amer. Math. Soc., to appear MR1491872
15 Sattinger, D. On the stability of waves of nonlinear parabolic systems Adv. in Math. 22 1976 312-355 MR0435602 100 Cache/Sa/Sattinger,stability,Adv*,1976,1977
16 Xin, Z. Asymptotic stability of planar rarefaction waves of solution for viscous conservation laws in several space dimensions Trans. Amer. Math. Soc. 319 1990 805-820 MR0970270 100 Cache/Xi/Xin,conservation,Trans*,1990,1991