Global Solutions of a General Hyperbolic Navier-Stokes Equations
Global Solutions of a General Hyperbolic Navier-Stokes Equations
Whether or not classical solutions to the hyperbolic Navier-Stokes equations (NSE) can develop finite-time singularities remains a challenging open problem. For general data without smallness condition, even the L2-norm of solutions is not known to be globally bounded in time. This paper presents a systematic approach to the global existence …