Existence of arbitrary-amplitude viscous-dispersive shock profiles is established for isentropic Korteweg fluids with nonlinear viscosity and capillarity, together with spectral stability of the essential spectrum for all strengths and of the point spectrum for small shocks under a structural invisc
Kato , Perturbation Theory for Linear Operators , Classics in Mathematics, Springer- Verlag, New York, Second ed., 1980
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Existence and spectral stability analysis of viscous-dispersive shock profiles for isentropic compressible fluids of Korteweg type
Existence of arbitrary-amplitude viscous-dispersive shock profiles is established for isentropic Korteweg fluids with nonlinear viscosity and capillarity, together with spectral stability of the essential spectrum for all strengths and of the point spectrum for small shocks under a structural invisc