Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations
From MaRDI portal
Publication:4887471
DOI10.1080/00411459608204839zbMath0857.45009OpenAlexW2150283883MaRDI QIDQ4887471
Publication date: 18 February 1997
Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)
Full work available at URL: http://www.lib.ncsu.edu/resolver/1840.4/310
Schauder's fixed point theoremtopological methodsradiative-conductive heat transfersystem of nonlinear integrodifferential equations
Integro-partial differential equations (45K05) Systems of nonlinear integral equations (45G15) Radiative transfer in astronomy and astrophysics (85A25)
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, Application of accretive operators theory to evolutive combined conduction, convection and radiation., Existence and Uniqueness of a Steady State Solution of a Coupled Radiative–Conductive Heat Transfer Problem for a Non-grey Anisotropically and Participating Medium, Solvability of \(P_{1}\) approximation of a conductive-radiative heat transfer problem, Nonlocal unique solvability of a steady-state problem of complex heat transfer, Green Function Formulation and Finite Element Discretization for Solving the Heat Radiative Transfer in a Slab, CONVERGENCE OF A NUMERICAL SCHEME FOR A NONLINEAR COUPLED SYSTEM OF RADIATIVE-CONDUCTIVE HEAT TRANSFER EQUATIONS, Existence and bounds for the half-moment entropy approximation to radiative transfer, On the global solvability of a boundary value problem for the equations of a viscous heat-conducting gas under the radiative transfer conditions, Existence results for a nonlinear coupled radiative-conductive heat transfer system, Steady-state problem of complex heat transfer, A nonstationary problem of complex heat transfer, Stability of the nonlinear Milne problem for radiative heat transfer system, Optimization and Inverse Problems in Radiative Heat Transfer, An iterative method for solving a complex heat transfer problem, Radiative Heat Transfer and Applications for Glass Production Processes, Unique solvability of a nonstationary problem of radiative-conductive heat exchange in a system of semitransparent bodies, Numerical solution of radiative transfer equation coupled with nonlinear heat conduction equation, Existence and uniqueness of a transient state for the coupled radiative-conductive heat transfer problem, Stationary nonlinear nonlocal problem of radiative-conductive heat transfer in a system of opaque bodies with properties depending on the radiation frequency, The unique solvability of a complex 3D heat transfer problem, Nonstationary radiative-conductive heat transfer problem in a periodic system of grey heat shields, Optimal control in radiative transfer, ANALYSIS AND COMPARISON OF TWO APPROXIMATION SCHEMES FOR A RADIATIVE TRANSFER SYSTEM, Unique solvability of a stationary radiative-conductive heat transfer problem in a semitransparent body with absolutely black inclusions, Existence Theory for Radiative Flows, Unique solvability of a steady-state complex heat transfer model, Existence Theory for the Solution of a Stationary Nonlinear Conductive‐Radiative Heat‐Transfer Problem in Three Space Dimensions, Stationary free convection problem with radiative heat exchange
Cites Work
- Error Estimates for the Combined Spatial and Angular Approximations of the Transport Equation for Slab Geometry
- Finite-Difference Approximations and Superconvergence for the Discrete-Ordinate Equations in Slab Geometry
- Multilevel source iteration accelerators for the linear transport equation in slab geometry
- Unnamed Item