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Existence and uniqueness of viscous-dispersive shock profiles for the Navier-Stokes-Fourier-Korteweg system

Han, Sungho
arXiv (All) · Papers
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35q35analysis-of-pdes
We establish the existence and uniqueness, up to translation, of monotone viscous-dispersive shock profiles for the one-dimensional Navier-Stokes-Fourier-Korteweg (NSFK) system, provided the two constant end states satisfy the Rankine-Hugoniot and Lax entropy conditions and the shock strength is sma
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