Nonlinear Stability of Shock Waves for Viscous Conservation Laws
Nonlinear Stability of Shock Waves for Viscous Conservation Laws (Memoirs of the American Mathematical Society) by Tai-Ping Liu
English | Aug. 1985 | ISBN: 0821823299 | 117 Pages | PDF | 6 MB
English | Aug. 1985 | ISBN: 0821823299 | 117 Pages | PDF | 6 MB
This paper proves that certain non-classical shock waves in a rotationally invariant system of viscous conservation laws posses nonlinear large-time stability against sufficiently small perturbations. The result applies to small intermediate magnetohydrodynamic shocks in the presence of dissipation.