Weak periodic solutions of a parabolic-elliptic system with Joule-Thomson effect

DOI10.1007/s40590-023-00539-7zbMath1523.35019MaRDI QIDQ6081472

Mhamed Elmassoudi, Jaouad Bennouna, Y. Ahakkoud

Publication date: 5 October 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

weak solutionLeray-Schauder theoremperiodic solutionOrlicz-Sobolev spacesJoule-Thomson effectcoupled elliptic-parabolic system

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30)

Cites Work

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• Multiple solutions for a nonlinear and non-homogeneous problem in Orlicz-Sobolev spaces
• Existence and multiplicity of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting
• Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
• Existence of periodic solutions for the thermistor problem with the Joule-Thomson effect
• Existence and uniqueness for the nonstationary problem of the electrical heating of a conductor due to the Joule-Thomson effect
• Analytic regimes with peaking in the thermistor problem
• Hölder continuous solutions of an obstacle thermistor problem
• Nonlinear elliptic equations with measure data in Orlicz spaces
• Existence and uniqueness of a renormalized solution of parabolic problems in Orlicz spaces
• Nonlinear maximal monotone operators in Banach space
• Strongly nonlinear parabolic equations with natural growth terms and \(L^1\) data in Orlicz spaces
• Stability and multiplicity of solutions for the thermistor problem
• A remark on the thermistor problem with rapidly growing conductivity
• Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions
• Existence and uniqueness for the equations of the joule-thomson effect
• The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup
• On the time periodic thermistor problem
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations

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