Un cas limite de lemmes de compacité en moyenne motivé par la formulation cinétique de systèmes hyperboliques
Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation
Uniform in time description for weak solutions of the Hopf equation with nonconvex nonlinearity.
Uniform local null control of the Leray-α model
This paper deals with the distributed and boundary controllability of the so called Leray-α model. This is a regularized variant of the Navier−Stokes system (α is a small positive parameter) that can also be viewed as a model for turbulent flows. We prove that the Leray-α equations are locally null controllable, with controls bounded independently of α. We also prove that, if the initial data are sufficiently small, the controls converge as α → 0+ to a null control of the Navier−Stokes equations....
Uniform regularity for an isentropic compressible MHD- approximate model arising in radiation hydrodynamics
It is well known that people can derive the radiation MHD model from an MHD- approximate model. As pointed out by F. Xie and C. Klingenberg (2018), the uniform regularity estimates play an important role in the convergence from an MHD- approximate model to the radiation MHD model. The aim of this paper is to prove the uniform regularity of strong solutions to an isentropic compressible MHD- approximate model arising in radiation hydrodynamics. Here we use the bilinear commutator and product estimates...
Uniqueness and Nonuniqueness for Nonsmooth Divergence Free Transport
Uniqueness and stability of regional blow-up in a porous-medium equation
Uniqueness of a solution of the Cauchy problem for one-dimensional compressible viscous micropolar fluid model.