WELL-POSEDNESS OF THE INFINITE PRANDTL NUMBER MODEL FOR CONVECTION WITH TEMPERATURE-DEPENDENT VISCOSITY
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Publication:3395344
DOI10.1142/S0219530509001414zbMath1169.35369OpenAlexW1974960613MaRDI QIDQ3395344
Max D. Gunzburger, Yuki Saka, Xiaoming Wang
Publication date: 26 August 2009
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219530509001414
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
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Structural stability for the Boussinesq equations interfacing with Darcy equations in a bounded domain, Persistence of global well-posedness for the two dimensional Boussinesq system with non-homogeneous boundary, Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity, Global regularity for the initial-boundary value problem of the 2-D Boussinesq system with variable viscosity and thermal diffusivity, Global regularity for a two-dimensional nonlinear Boussinesq system, Spatial decay for solutions to 2-D Boussinesq system with variable thermal diffusivity, Structural stability of the Boussinesq fluid interfacing with a Darcy fluid in a bounded region in \(R^2\), Spectral numerical schemes for time-dependent convection with viscosity dependent on temperature
Cites Work
- A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model
- Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients
- Infinite Prandtl number limit of Rayleigh-Bénard convection
- The initial value problem for a generalized Boussinesq model
- Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection
