Zobrazeno 1 - 10
of 233
pro vyhledávání: '"Danchin, Raphaël"'
Autor:
Danchin, Raphaël
We are concerned with the construction of global-in-time strong solutions for the incompressible Vlasov-Navier-Stokes systemin the whole three-dimensional space. One of our goals is to establish that small initial velocities with critical Sobolev reg
Externí odkaz:
http://arxiv.org/abs/2405.09937
Autor:
Danchin, Raphaël
We consider the evolution of two-dimensional incompressible flows with variable density, only bounded and bounded away from zero. Assuming that the initial velocity belongs to a suitable critical subspace of L^2 , we prove a global-in-time existence
Externí odkaz:
http://arxiv.org/abs/2404.02541
We here investigate a modification of the compressible barotropic Euler system with friction, involving a fuzzy nonlocal pressure term in place of the conventional one. This nonlocal term is parameterized by $\epsilon$ > 0 and formally tends to the c
Externí odkaz:
http://arxiv.org/abs/2312.07099
Autor:
Danchin, Raphaël, Wang, Shan
We are concerned with the isentropic compressible Navier-Stokes system in the two-dimensional torus, with rough data and vacuum : the initial velocity is in the Sobolev space H^1 and the initial density is only bounded and nonnegative. Arbitrary regi
Externí odkaz:
http://arxiv.org/abs/2311.01072
Autor:
Danchin, Raphaël, Vasilyev, Ioann
In this article, we prove the existence of global solutions to the inhomogeneous incompressible Navier--Stokes equations, whenever the initial velocity belongs to some subspace of $\mathrm{BMO}^{-1}$, and the initial density is sufficiently close to
Externí odkaz:
http://arxiv.org/abs/2305.09027
Autor:
Danchin, Raphaël
The present paper is devoted to the proof of time decay estimates for derivatives at any order of finite energy global solutions of the Navier-Stokes equations in general two-dimensional domains. These estimates only depend on the order of derivation
Externí odkaz:
http://arxiv.org/abs/2304.08036
Autor:
Danchin, Raphaël
Many physical phenomena may be modelled by first order hyperbolic equations with degenerate dissipative or diffusive terms. This is the case for example in gas dynamics, where the mass is conserved during the evolution, but the momentum balance inclu
Externí odkaz:
http://arxiv.org/abs/2209.12734
Autor:
Danchin, Raphaël, Wang, Shan
We here aim at proving the global existence and uniqueness of solutions to the inhomogeneous incompressible Navier-Stokes system in the case where the initial density is discontinuous and the initial velocity has critical regularity. Assuming that th
Externí odkaz:
http://arxiv.org/abs/2201.11011
Autor:
Crin-Barat, Timothée, Danchin, Raphaël
Here we investigate global strong solutions for a class of partially dissipative hyperbolic systems in the framework of critical homogeneous Besov spaces. Our primary goal is to extend the analysis of our previous paper [10] to a functional framework
Externí odkaz:
http://arxiv.org/abs/2201.06822
Autor:
Danchin, Raphaël, Tolksdorf, Patrick
We are concerned with the barotropic compressible Navier-Stokes system in a bounded domain of $\mathbb{R}^d$ (with $d\geq2$). In a critical regularity setting, we establish local well-posedness for large data with no vacuum and global well-posedness
Externí odkaz:
http://arxiv.org/abs/2201.03823