Results 21 to 30 of about 63 (57)

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
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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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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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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
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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
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A thermodynamically consistent model for bulk-surface viscous fluid mixtures: model derivation and mathematical analysis

Advances in Nonlinear Analysis
We derive and analyze a new diffuse interface model for incompressible, viscous fluid mixtures with bulk-surface interaction. Our system consists of a Navier–Stokes–Cahn–Hilliard model in the bulk that is coupled to a surface Navier–Stokes–Cahn–Hilliard ...
Knopf Patrik, Stange Jonas
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Global existence and uniqueness of the 2D damped wave type MHD equations

, 2023
Weixian Sun, Wenjuan Wang
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Global well-posedness and exponential decay of strong solutions for 2D nonhomogeneous Magneto-Micropolar equations with density-dependent viscosity

, 2023
Min Liu
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Schwartz Function Valued Solutions of the Euler and the Navier-Stokes Equations

, 2023
Philipp di Dio
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Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids

Open Mathematics, 2013
Bárta Tomáš
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