Results 11 to 20 of about 652 (41)

Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces

Advanced Nonlinear Studies, 2018
This paper deals with the Cauchy problem to the Keller–Segel model coupled with the incompressible 3-D Navier–Stokes equations. Based on so-called Gevrey regularity estimates, which are motivated by the works of Foias and Temam [20], we prove that the ...
Yang Minghua, Fu Zunwei, Liu Suying
doaj   +1 more source

Almost sure well-posedness for Hall MHD [PDF]

arXiv, 2022
We consider the magnetohydrodynamics system with Hall effect accompanied with initial data in supercritical Sobolev space. Via an appropriate randomization of the supercritical initial data, both local and small data global well-posedness for the system are obtained almost surely in critical Sobolev space.
arxiv  

A new proof of existence in the L3-setting of solutions to the Navier-Stokes Cauchy problem [PDF]

arXiv, 2022
We investigate on the existence of solutions with initial datum U0 in L3. Our chief goal is to establish the existence interval (0,T) uniquely considering the size and the absolute continuity of |U0(x)|3.
arxiv  

Stability on 3D Boussinesq system with mixed partial dissipation

Advances in Nonlinear Analysis
In the article, we are concerned with the three-dimensional anisotropic Boussinesq equations with the velocity dissipation in x2{x}_{2} and x3{x}_{3} directions and the thermal diffusion in only x3{x}_{3} direction.
Lin Hongxia, Liu Sen, Guo Xiaochuan, You Ruiqi   +3 more
doaj   +1 more source

The compressible Navier-Stokes equations with slip boundary conditions of friction type [PDF]

arXiv, 2023
We show the global existence of a weak solution for the Navier-Stokes equations for compressible fluids with slip boundary conditions of friction type.
arxiv  

Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity

Boundary Value Problems, 2011
In this paper, we investigate the Cauchy problem for the incompressible magneto-micropolar fluid equations with partial viscosity in ℝn(n = 2, 3). We obtain a Beale-Kato-Majda type blow-up criterion of smooth solutions. MSC (2010): 76D03; 35Q35.
Wang Yu-Zhu, Li Yifang, Wang Yin-Xia
doaj  

Incompressible limit for the compressible viscoelastic fluids in critical space

Advances in Nonlinear Analysis
In this article, we consider the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the compressible viscoelastic fluids in the sense of critical Besov framework. We decouple our compressible system into two
Han Bin, Wu Dan
doaj   +1 more source

Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions [PDF]

J. Differential Equations 246 (2009) 4791-4812., 2008
The compressible Navier-Stokes-Poisson system is concerned in the present paper, and the global existence and uniqueness of the strong solution is shown in the framework of hybrid Besov spaces in three and higher dimensions.
arxiv   +1 more source

Attractors for a deconvolution model of turbulence [PDF]

arXiv, 2008
We consider a deconvolution model for 3D periodic flows. We show the existence of a global attractor for the model.
arxiv  

Reproductive strong solutions of Navier-Stokes equations with non homogeneous boundary conditions [PDF]

arXiv, 2007
The object of the present paper is to show the existence and the uniqueness of a reproductive strong solution of the Navier-Stokes equations, i.e. the solution $\boldsymbol{u} $ belongs to $\text{}\mathbf{L}% ^{\infty}(0,T;V) \cap \mathbf{L}^{2}(0,T;\mathbf{H}% ^{2}(\Omega))$ and satisfies the property $\boldsymbol{u}% (\boldsymbol{x,}T) =\boldsymbol{u}
arxiv