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Nonlinear Stability of Shock Waves for Viscous Conservation Laws

Posted By: alt_f4
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

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.