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Asymptotic stability of solutions to the Navier-Stokes-Fourier system driven by inhomogeneous Dirichlet boundary conditions
Eduard Feireisl, Young-Sam Kwon
We consider global in time solutions of the Navier-Stokes-Fourier system describing the motion of a general compressible, viscous and heat conducting fluid far from equilibirum. Us…
Weak solutions for a bi-fluid model for a mixture of two compressible non interacting fluids with general boundary data
Stanislav Kracmar, Young-Sam Kwon, Sarka Necasova +1
We prove global existence of weak solutions for a version of one velocity Baer-Nunziato system with dissipation describing a mixture of two non interacting viscous compressible flu…
Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids
Bumja Jin, Young-Sam Kwon, Sarka Necasova +1
Following Abbatiello et al. [ DCCDS-A (41), 2020], we introduce dissipative turbulent solutions to a simple model of a mixture of two non interacting compressible fluids {\tc filli…
Dissipative solutions to compressible Navier-Stokes equations with general inflow-outflow data: existence, stability and weak strong uniqueness
Young-Sam Kwon, Antonin Novotny, Vladyslav Satko
So far existence of dissipative weak solutions for the compressible Navier-Stokes equations (i.e. weak solutions satisfying the relative energy inequality) is known only in the cas…
Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model
Kyudong Choi, Moon-Jin Kang, Young-Sam Kwon +1
We consider a hyperbolic-parabolic system arising from a chemotaxis model in angiogenesis, which is described by a Keller-Segel equation with singular sensitivity. It is known to a…