Global existence of solutions for hyperbolic Navier–Stokes equations in three space dimensions

Abstract

We consider a hyperbolic quasilinear perturbation of the Navier–Stokes equations in three space dimensions. We prove global existence and uniqueness of solutions for initial data and forcing terms, which are larger and less regular than in previous works. Furthermore, we prove the convergence of solutions to relaxed system towards solutions to the classical Navier–Stokes problem.

Keywords

Hyperbolic Navier–Stokes equations global existence quasilinear hyperbolic equations

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