Abstract:
I present a rigorous convergence result of smooth solutions to a ingular semilinear hyperbolic approximation, inspired by the hydrodynamic limits of the Boltzmann equation, to the solutions to the incompressible Navier-Stokes equations in Sobolev spaces. The proof is based on the use of a constant right symmetrizer, weighted with respect to the parameter of the singular pertubation system. The symmetrizer provides a conservative-dissipative form for the system and this allow us to perform uniform energy estimates and to get the
convergence by compactness.
Convergence of a vector BGK approximation th the Navier-Stokes equations
08.05.2017 14:00 - 15:00
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