Results 21 to 30 of about 56 (50)

Global well-posedness of a nonlinear Boussinesq-fluid-structure interaction system with large initial data

Advances in Nonlinear Analysis
In this article, we consider the global well-posedness of the initial-boundary value problem to a nonlinear Boussinesq-fluid-structure interaction system, which describes the motion of an incompressible Boussinesq-fluid surrounded by an elastic structure
Zhang Jie, Wang Shu, Shen Lin
doaj   +1 more source

Well-posedness of evolutionary Stokes–Darcy model governed by a hemivariational inequality

Advances in Nonlinear Analysis
The paper deals with the well-posedness of the time-dependent Stokes–Darcy model for an incompressible fluid in a bounded domain. The no-leak boundary condition and a multivalued nonmonotone slip condition of “friction type” is assumed.
Migórski Stanisław, Dudek Sylwia
doaj   +1 more source

On various models describing behaviour of thermoviscoelastic rate-type fluids

Advances in Nonlinear Analysis
Viscoelastic rate-type fluid models are essential for describing the behavior of a wide range of complex materials, with applications in fields such as engineering, biomaterials, and medicine.
Bulíček Miroslav, Woźnicki Jakub
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Stability and exponential decay for two-dimensional Boussinesq equations with partial viscosity and thermal diffusion

Advances in Nonlinear Analysis
In this work, we study the two-dimensional anisotropic Boussinesq equations, incorporating only horizontal dissipation in the tangential velocity and horizontal thermal diffusion. When the spatial domain is T×R $\mathbb{T}{\times}\mathbb{R}$ , this paper
Yu Tianyuan
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Journal of Mathematical Fluid Mechanics Global Regularity for a Class of Generalized Magnetohydrodynamic Equations

, 2011
. It remains unknown whether or not smooth solutions of the 3D incompressible MHD equations can develop finite-time singularities. One major difficulty is due to the fact that the dissipation given by the Laplacian operator is insufficient to control the
Jiahong Wu
core  

Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids

Open Mathematics, 2013
Bárta Tomáš
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A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient

Open Mathematics, 2014
Bosia Stefano, Conti Monica, Pata Vittorino   +2 more
doaj   +1 more source

Boundary regularity of flows under perfect slip boundary conditions

Open Mathematics, 2013
Kaplický Petr, Tichý Jakub
doaj   +1 more source

Flow of Dilute Aqueous Polymer Solutions in a Heterogeneous Porous Medium: Existence Results for Steady and Unsteady Cases. [PDF]

Polymers (Basel)
Baranovskii ES, Artemov MA.
europepmc   +1 more source

Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. [PDF]

Math Ann
Agresti A, Luongo E.
europepmc   +1 more source