Continuous dependence for solutions to 2-D Boussinesq system channel flow

DOI10.7153/dea-08-27zbMath1346.35078OpenAlexW2516325616MaRDI QIDQ2823234

Changhao Lin, Yuanfei Li

Publication date: 6 October 2016

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-08-27

zbMATH Keywords

channel flowBoussinesq equationscontinuous dependence

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05)

Cites Work

• Global regularity results for the 2D Boussinesq equations with vertical dissipation
• Improved spatial decay bounds in the plane Stokes flow
• The 2D Boussinesq equations with vertical viscosity and vertical diffusivity
• Parameter determination in parabolic partial differential equations from overspecified boundary data
• Plane entry flows and energy estimates for the Navier-Stokes equations
• Improved decay estimates in time-dependent Stokes flow.
• Global weak solutions and regularity for two-dimensional Boussinesq equations with partial dissipation and thermal diffusivity
• Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Uniqueness and continuous dependence criteriafor the Navier-Stokes equations
• Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations
• POINTWISE BOUNDS AND SPATIAL DECAY ESTIMATES IN HEAT CONDUCTION PROBLEMS
• SPATIAL DECAY BOUNDS IN THE CHANNEL FLOW OF AN INCOMPRESSIBLE VISCOUS FLUID

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