Existence results for a nonlinear coupled radiative-conductive heat transfer system

DOI10.1016/j.nonrwa.2022.103653OpenAlexW4290189637MaRDI QIDQ2171189

Hssaine Oummi, Ahmed Zeghal

Publication date: 23 September 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2022.103653

zbMATH Keywords

Green's functionsfixed point theoremsexistence resultcompactness and weak compactnessradiative-conduction heat transfer

Mathematics Subject Classification ID

Linear function spaces and their duals (46Exx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) Nonlinear operators and their properties (47Hxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed point theorems for ws-compact mappings in Banach spaces
• Schaefer-Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
• Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations
• Existence results for a generalized nonlinear Hammerstein equation on \(L_{1}\) spaces
• Existence of fixed points and measures of weak noncompactness
• Functional analysis, Sobolev spaces and partial differential equations
• Boundary value problems in abstract kinetic theory
• The superposition operator in function spaces - A survey
• The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation
• Coupled radiative and conjugate heat transfer in participating media using lattice Boltzmann methods
• Numerical simulations of a coupled radiative-conductive heat transfer model using a modified Monte Carlo method
• Existence results for a nonlinear transport equation in bounded geometry on \(L^{1}\)-spaces
• A nonlinear integral equation with applications to neutron transport theory
• Optimal spectral theory of the linear Boltzmann equation
• Banach space theory. The basis for linear and nonlinear analysis
• HOMOGENIZATION OF BOUNDARY VALUE PROBLEMS AND SPECTRAL PROBLEMS FOR NEUTRON TRANSPORT IN LOCALLY PERIODIC MEDIA
• On linear kinetic equations involving unbounded cross-sections
• Existence of fixed points for the sum of two operators
• Existence and Uniqueness of a Steady State Solution of a Coupled Radiative–Conductive Heat Transfer Problem for a Non-grey Anisotropically and Participating Medium
• Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations
• Existence results for a nonlinear version of Rotenberg model with infinite maturation velocities
• Compactness properties for linear transport operators with abstract boundary conditions in slab geometry
• A Nonlinear Boltzmann Equation in Transport Theory

This page was built for publication: Existence results for a nonlinear coupled radiative-conductive heat transfer system