Global existence, blow up and asymptotic decay for some hyperbolic systems

This dispersion was proved in the case of rotating fluids ([12], [29]) or in the case of primitive equations ([9]) in the form of Strichartz type estimates, which allows to prove

We prove here the existence of boundary blow up solutions for fully nonlinear equations in general domains, for a nonlinearity satisfying Keller- Osserman type condition.. If

Our aim is to prove the existence of a global weak solution under a smallness condition on the mass of the initial data, there by completing previous results on finite blow-up for

Abstract This short note studies the problem of a global expansion of local results on existence of strong and classical solutions of Navier-Stokes equations in R 3..

In this paper, we prove the global existence and the large time decay estimate of solutions to Prandtl system with small initial data, which is analytical in the tangential

Truong, Existence and asymptotic expansion for a viscoelastic problem with a mixed nonhomogeneous condition, Nonlinear Analysis, Theory, Methods & Applications, Series A: Theory

Said-Houari, Global nonexistence of positive initial- energy solutions of a system of nonlinear viscoelastic wave equations with damp- ing and source terms, J. Messaoudi

In second chapter, we proved the well-posedness and an exponential decay result under a suitable assumptions on the weight of the damping and the weight of the delay for a wave