Results 61 to 70 of about 2,766 (130)

Hamiltonian Approach to Internal Wave-Current Interactions in a Two-Media Fluid with a Rigid Lid [PDF]

, 2015
We examine a two-media 2-dimensional fluid system consisting of a lower medium bounded underneath by a flatbed and an upper medium with a free surface with wind generated surface waves but considered bounded above by a lid by an assumption that surface ...
Compelli, Alan, Ivanov, Rossen
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Non-uniform continuous dependence on initial data of solutions to the Euler-Poincar\'{e} system

, 2018
In this paper, we investigate the continuous dependence on initial data of solutions to the Euler-Poincar\'{e} system. By constructing a sequence approximate solutions and calculating the error terms, we show that the data-to-solution map is not ...
Dai, Li, Li, Jinlu, Zhu, Weipeng
core   +1 more source

On the Leray-Hopf Extension Condition for the Steady-State Navier-Stokes Problem in Multiply-Connected Bounded Domains [PDF]

, 2013
Employing the approach of A. Takeshita [Pacific J. Math., Vol. 157 (1993), 151--158], we give an elementary proof of the invalidity of the Leray-Hopf Extension Condition for certain multiply connected bounded domains of R^n, n=2,3, whenever the flow ...
Galdi, Giovanni P.
core  

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

Global Existence and Asymptotic Behavior of Solutions to a Chemotaxis-Fluid System on General Bounded Domain [PDF]

, 2014
In this paper, we investigate an initial-boundary value problem for a chemotaxis-fluid system in a general bounded regular domain $\Omega \subset \mathbb{R}^N$ ($N\in\{2,3\}$), not necessarily being convex.
Jiang, Jie, Wu, Hao, Zheng, Songmu
core  

The Oberbeck--Boussinesq Approximation as a Constitutive Limit

, 2015
We derive the usual Oberbeck--Boussinesq approximation as a constitutive limit of the full system describing the motion of an compressible linearly viscous fluid. To this end the starting system is written, using the Gibbs free energy, in the variables $\
Kagei, Yoshiyuki, Ruzicka, Michael
core   +1 more source

Theoretical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach

Advances in Nonlinear Analysis, 2017
In this paper, we study the following water wave model with a nonlocal viscous term:
Goubet Olivier, Manoubi Imen
doaj   +1 more source

Global well-posedness for the 2 D quasi-geostrophic equation in a critical Besov space [PDF]

, 2006
We show that the the 2 D quasi-geostrophic equation has global and unique strong solution, when the (large) data belongs in the critical, scale invariant space $\dot{B}^{2-2\al}_{2, \infty}\cap L^{2/(2\al-1)}$
Stefanov, Atanas
core   +3 more sources

Regularity of weak solutions to the 3D stationary tropical climate model

Open Mathematics
This article studies the regularity of weak solutions to the 3D stationary tropical climate model. We prove that when (U,V,θ)\left(U,V,\theta ) belongs to the homogeneous Morrey space M˙2,p(R3){\dot{M}}^{2,p}\left({{\mathbb{R}}}^{3}) with p>3p\gt 3, then
Song Huiyang, Bie Qunyi, Zhou Yanping
doaj   +1 more source

Remarks on the Minimizing Geodesic Problem in Inviscid Incompressible Fluid Mechanics [PDF]

, 2010
We consider $L^2$ minimizing geodesics along the group of volume preserving maps $SDiff(D)$ of a given 3-dimensional domain $D$. The corresponding curves describe the motion of an ideal incompressible fluid inside $D$ and are (formally) solutions of the ...
Brenier, Yann
core