Existence of weak solutions to the time-dependent MHD equations coupled to the heat equation with nonlocal radiation boundary conditions
From MaRDI portal
Publication:1021943
DOI10.1016/j.nonrwa.2008.09.015zbMath1173.80002OpenAlexW2084132390MaRDI QIDQ1021943
Publication date: 9 June 2009
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.09.015
magnetohydrodynamicsnatural interface conditionsnonlocal radiation boundary conditionsradiative heat-transfer
Related Items
Nonstationary problem of complex heat transfer in a system of semitransparent bodies with boundary-value conditions of diffuse reflection and refraction of radiation ⋮ Nonlocal unique solvability of a steady-state problem of complex heat transfer ⋮ Unnamed Item ⋮ On the global solvability of a boundary value problem for the equations of a viscous heat-conducting gas under the radiative transfer conditions ⋮ Steady-state problem of complex heat transfer ⋮ A nonstationary problem of complex heat transfer ⋮ Mathematical modeling of Czochralski type growth processes for semiconductor bulk single crystals ⋮ A formulation for a nonlinear axisymmetric magneto-heat coupling problem with an unknown nonlocal boundary condition ⋮ Explicit estimates on a mixed Neumann--Robin--Cauchy problem ⋮ On the Magneto-Heat Coupling Model for Large Power Transformers ⋮ Unique solvability of a nonstationary problem of radiative-conductive heat exchange in a system of semitransparent bodies ⋮ Unique solvability of a stationary radiative-conductive heat transfer problem in a semitransparent body with absolutely black inclusions ⋮ Optimal control of semiconductor melts by traveling magnetic fields ⋮ A note on the regularity of thermally coupled viscous flows with critical growth in nonsmooth domains ⋮ Stationary free convection problem with radiative heat exchange ⋮ Solvability analysis of a magneto-heat coupling magnetization model for ferromagnetic materials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
- Nonlinear elliptic and parabolic equations involving measure data
- Compact sets in the space \(L^ p(0,T;B)\)
- The validity of the Boussinesq approximation for liquids and gases
- Modeling and simulation of sublimation growth of SiC bulk single crystals
- On the existence of weak solutions to the equations of non-stationary motion of heat-conducting incompressible viscous fluids
- Conductive-radiative heat transfer in grey materials
- TRANSIENT CONDUCTIVE–RADIATIVE HEAT TRANSFER: DISCRETE EXISTENCE AND UNIQUENESS FOR A FINITE VOLUME SCHEME
- Variational methods for stationary MHD flow under natural interface conditions
- Weak solutions to a stationary heat equation with nonlocal radiation boundary condition and right‐hand side in Lp (p⩾1)
- The mathematical analysis of the coupling of a turbulent kinetic energy equation to the navier-stokes equation with an eddy viscosity