STABILITY OF THE RAREFACTION WAVE FOR THE GENERALIZED KDV-BURGERS EQUATION

Nonlinear asymptotic stability of viscous shock profiles for conservation laws

Jonathan Goodman · Archive for Rational Mechanics and Analysis · 1986 · 394 citations

Natural Sciences, Mathematics, Physics +16

Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion

Shuichi Kawashima, Akitaka Matsumura · Communications in Mathematical Physics · 1985 · 363 citations

Natural Sciences, Physics, Dynamical Systems +12

Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas

Akitaka Matsumura, Kenji Nishihara · Japan Journal of Applied Mathematics · 1986 · 323 citations

Natural Sciences, Mathematics, Physics +14

Nonlinear stability of shock waves for viscous conservation laws

Tai-Ping Liu · Bulletin of the American Mathematical Society · 1985 · 317 citations · Full text

Natural Sciences, Mathematics, Physics +17

Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas

Akitaka Matsumura, Kenji Nishihara · Communications in Mathematical Physics · 1992 · 216 citations

Natural Sciences, Mechanical Engineering, Physics +17