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12 papers · 2 filters
Asymptotic behavior of a nonlocal advection system with two populations
Xiaoming Fu, Pierre Magal
In this paper, we consider a nonlocal advection model for two populations on a bounded domain. The first part of the paper is devoted to the existence and uniqueness of solutions a…
Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction
Marius Paicu, Ping Zhang
We consider three dimensional incompressible Navier-Stokes equation with different viscous coefficient in the vertical and horizontal variables. In particular, when one of t…
Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane
Tatsuo Nishitani, Vesselin Petkov
We study effectively hyperbolic operators with triple characteristics points lying on . Under some conditions on the principal symbol of one proves that the Cauchy pr…
Sobolev solutions of parabolic equation in a complete riemannian manifold
Eric Amar
We study Sobolev estimates for the solutions of parabolic equations acting on a vector bundle, in a complete, compact or non compact, riemannian manifold The idea is to introd…
Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions
Zhihua Liu, Pierre Magal
In this article we study a class of delay differential equations with infinite delay in weighted spaces of uniformly continuous functions. We focus on the integrated semigroup form…
Instabilities in a combustion model with two free interfaces
Davide Addona, Claude-Michel Brauner, Luca Lorenzi +1
We study in a strip of a combustion model of flame propagation with stepwise temperature kinetics and zero-order reaction, characterized by two free interfaces, respe…