Weak solutions to Allen-Cahn-like equations modelling consolidation of porous media [PDF]
, 2016 We study the weak solvability of a system of coupled Allen--Cahn--like equations resembling cross--diffusion which is arising as a model for the consolidation of saturated porous media.
Cirillo, Emilio Nicola Maria +2 more
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Weak solutions for p-Laplacian equation
Advances in Nonlinear Analysis, 2012 In this work we consider the p-Laplacian type parabolic equation with Dirichlet boundary condition and establish the existence of weak solutions using Leray–Schauder's fixed point theorem and semi-discretization process.
Bhuvaneswari Venkatasubramaniam +2 more
doaj +1 more source
Local Hölder Regularity of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021 In this paper, the Hölder regularity of weak solutions for singular parabolic systems of p-Laplacian type is investigated. By the Poincare inequality, we show that its weak solutions within Hölder space.
Khoirunisa Khoirunisa +2 more
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On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations [PDF]
, 2013 In this paper we deal with weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations. First we prove that these solutions satisfy some weak-strong uniqueness property.
Dumas, Eric, Sueur, Franck
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Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing
Biomath, 2014 Solutions of a model reaction-diffusion system inspired by a model for hair follicle initiation in mice are constructed and analysed for the case of a one-dimensional domain.
Peter Rashkov
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Existence of weak solutions to stochastic evolution inclusions [PDF]
, 2004 We consider the Cauchy problem for a semilinear stochastic differential inclusion in a Hilbert space. The linear operator generates a strongly continuous semigroup and the nonlinear term is multivalued and satisfies a condition which is more heneral than
De Fitte, Paul Raynaud +2 more
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An existence result for quasilinear parabolic systems with lower order terms
Mathematical Modelling and Analysis, 2021 In this paper we prove the existence of weak solutions for a class of quasilinear parabolic systems, which correspond to diffusion problems, in the form where Ω is a bounded open domain of be given and The function v belongs to is in a moving and ...
Farah Balaadich, Elhoussine Azroul
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Bounded weak solutions to nonlinear elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this work, we are concerned with a class of elliptic problems with both absorption terms and critical growth in the gradient. We suppose that the data belong to $L^{m}(\Omega)$ with $m>n/2$ and we prove the existence of bounded weak solutions via $L^{\
Abderrahmane El Hachimi, Jaouad Igbida
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Local boundedness of weak solutions to elliptic equations with p,q−growth
Mathematics in Engineering, 2023 This article is dedicated to Giuseppe Mingione for his $ 50^{th} $ birthday, a leading expert in the regularity theory and in particular in the subject of this manuscript.
Giovanni Cupini +2 more
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Global solutions and decay of a nonlinear coupled system with thermo-elastic
Pesquimat, 2016 In this present work, the authors prove the existence of global solutions and the decay of nonlinear wave equation with thermo-elastic coupling give by the system of equation…..
Ricardo Fuentes Apolaya +1 more
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