Existence of solutions to heat equations with hysteresis coupled with Navier-Stokes equations in 2D domains

DOI10.1016/j.jmaa.2014.10.038zbMath1307.35094OpenAlexW2075094915MaRDI QIDQ472299

Yutaka Tsuzuki

Publication date: 19 November 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.038

zbMATH Keywords

subdifferential operatorsobstacle functions

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Equations with nonlinear hysteresis operators (47J40) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) Variational and other types of inclusions (47J22)

Related Items (2)

Existence and uniqueness of solutions to heat equations with hysteresis coupled with Navier-Stokes equations in 2D and 3D ⋮ 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: regularity of the solution

Cites Work

• On the global well-posedness for the Boussinesq system with horizontal dissipation
• Global wellposedness of an inviscid \(2D\) Boussinesq system with nonlinear thermal diffusivity
• Symmetric periodic solutions of parabolic problems with discontinuous hysteresis
• Nonlinear degenerate parabolic equations for a thermohydraulic model
• Compact sets in the space \(L^ p(0,T;B)\)
• Differential equations, hysteresis, and time delay
• A filtration model with hysteresis
• A thermohydraulics model with temperature dependent constraint on velocity fields
• Solvability of \(p\)-Laplacian parabolic logistic equations with constraints coupled with Navier-Stokes equations in 2D domains
• Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
• On Periodicity of Solutions For Thermocontrol Problems with Hysteresis-Type Switches
• An Application of Glicksberg’s Theorem to Set-Valued Integral Equations Arising in the Theory of Thermostats
• Parabolic PDEs with hysteresis and quasivariational inequalities
• Evolution Problems with Hysteresis in the Source Term
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
• A phase-field model with temperature dependent constraint
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