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Some new well-posedness results for continuity and transport equations, and applications to the chromatography system
Luigi Ambrosio, Gianluca Crippa, Alessio Figalli +1
We obtain various new well-posedness results for continuity and transport equations, among them an existence and uniqueness theorem (in the class of strongly continuous solutions)…
Invariant Manifolds for Viscous Profiles of a Class of Mixed Hyperbolic-Parabolic Systems
Stefano Bianchini, Laura V. Spinolo
We are concerned with viscous profiles (travelling waves and steady solutions) for mixed hyperbolic-parabolic systems in one space variable. For a class of systems including the co…
A connection between viscous profiles and singular ODEs
Stefano Bianchini, Laura V. Spinolo
We deal with the viscous profiles for a class of mixed hyperbolic-parabolic systems. We focus, in particular, on the case of the compressible Navier Stokes equation in one space va…
Vanishing viscosity solutions of a triangular hyperbolic system with Dirichlet conditions on two boundaries
Laura V. Spinolo
We consider the parabolic systems \begin{equation*} u^ε_t + A(u^ε) u^ε_x = εu^ε_{xx} \end{equation*} on a domain with Dirichle…