Existence of capacity solution for a nonlocal thermistor problem in Musielak-Orlicz-Sobolev spaces
DOI10.1007/s43034-022-00237-xzbMath1506.35116OpenAlexW4311104079MaRDI QIDQ2680624
Moulay Rchid Sidi Ammi, Ibrahim Dahi
Publication date: 4 January 2023
Published in: Annals of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43034-022-00237-x
nonlinear parabolic equationexistenceMusielak-Orlicz-Sobolev spacesthermistor problemcapacity solution
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)
Cites Work
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- Lebesgue and Sobolev spaces with variable exponents
- Orlicz spaces and modular spaces
- Renormalized solutions to nonlinear parabolic problems in generalized Musielak-Orlicz spaces
- Existence of weak solutions for the nonstationary problem of the Joule heating of a conductor
- Electrorheological fluids: modeling and mathematical theory
- Inhomogeneous Orlicz-Sobolev spaces and nonlinear parabolic initial value problems
- Dimension reduction of thermistor models for large-area organic light-emitting diodes
- Existence and uniqueness results on time scales for fractional nonlocal thermistor problem in the conformable sense
- Some properties of Musielak spaces with only the log-Hölder continuity condition and application
- Analysis of a bulk-surface thermistor model for large-area organic LEDs
- Existence of a capacity solution to a coupled nonlinear parabolic-elliptic system
- Strongly nonlinear parabolic equations with natural growth terms and \(L^1\) data in Orlicz spaces
- The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup
- Thermal runaway in a non-local problem modelling Ohmic heating. Part II: General proof of blow-up and asymptotics of runaway
- Thermal runaway in a non-local problem modelling Ohmic heating: Part I: Model derivation and some special cases
- An Elliptic System Related to the Stationary Thermistor Problem
- Optimal error estimates and recovery technique of a mixed finite element method for nonlinear thermistor equations
- Evolution PDEs with Nonstandard Growth Conditions
- Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
- Mathematical modeling of electrorheological materials
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