Pointwise Green Function Bounds for Shock Profiles of Systems with Real Viscosity

Finite difference schemes and partial differential equations

Choice Reviews Online · 1991 · 1.9K citations

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D. H. Sattinger · Advances in Mathematics · 1976 · 564 citations

Parabolic Equation, Nonlinear Hyperbolic Problem, Hyperbolic Equation +2

<i>Methods of Mathematical Physics, Vol. I</i>

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Numerical Analysis, Theoretical Mathematics

Nonlinear asymptotic stability of viscous shock profiles for conservation laws

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Conservation Law, Compressible Flow, Engineering +6

The gap lemma and geometric criteria for instability of viscous shock profiles

Robert A. Gardner, Kevin Zumbrun · Communications on Pure and Applied Mathematics · 1998 · 332 citations