Analysis of the Weak Formulation of a Coupled Nonlinear Parabolic System Modeling a Heat Exchanger
Abstract and Applied AnalysisMSC2020 Classification: 35K05, 35K55, 35A15, 35A01, 35A02, and ...
Kouma Ali Ouattara +3 more
doaj +2 more sources
Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
Boundary Value Problems, 2011 This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence parameter equation.
Xu Si, Song Zifen
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Strongly quasilinear parabolic systems [PDF]
, 2023 Using the theory of Young measures, we prove the existence of solutions to a strongly quasilinear parabolic system Mathematics Subject Classification (2010): 35K55, 35D30, 46E30 Received 29 April 2020; Accepted 29 June ...
AZROUL, Elhoussine +3 more
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Blow-up results for damped wave equation with fractional Laplacian and non linear memory [PDF]
, 2022 This paper is devoted to find the critical exponent in Fujita’s sense and to prove the blow-up results of solutions for the damped equation with fractional Laplacian and nonlinear memory.
HADJ KADDOUR, Tayeb, HAKEM, Ali
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Existence of solutions for a biharmonic equation with gradient term [PDF]
, 2023 In this paper, we mainly study the existence of radial solutions for a class of biharmonic equation with a convection term, involving two real parameters.
HAMYDY, Ahmed +2 more
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A class of diffusion problem of Kirchhoff type with viscoelastic term involving the fractional Laplacian [PDF]
, 2020 This work is concerned with a class of diffusion problem of Kirchhoff type with viscoelastic term and nonlinear interior source in the setting of the fractional Laplacian.
LAPA, Eugenio Cabanillas +3 more
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Generalized result on the global existence of positive solutions for a parabolic reaction diffusion model with a full diffusion matrix [PDF]
, 2023 In this paper, we study the global existence in time of solutions for a parabolic reaction diffusion model with a full matrix of diffusion coefficients on a bounded domain. The technique used is based on compact semigroup methods and some estimates.
Nabila Barrouk +3 more
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Bounds for blow-up time in a semilinear parabolic problem with variable exponents [PDF]
, 2022 This report deals with a blow-up of the solutions to a class of semilinear parabolic equations with variable exponents nonlinearities. Under some appropriate assumptions on the given data, a more general lower bound for a blow-up time is obtained if the ...
ABITA, Rahmoune +1 more
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On the relativistic heat equation in one space dimension
Proceedings of the London Mathematical Society, Volume 107, Issue 6, Page 1395-1423, December 2013., 2013 We study the relativistic heat equation in one space dimension. We prove a local regularity result when the initial datum is locally Lipschitz in its support. We propose a numerical scheme that captures the known features of the solutions and allows for analysing further properties of their qualitative behaviour.
J. A. Carrillo, V. Caselles, S. Moll
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Stability Analysis of a Model of Atherogenesis: An Energy Estimate Approach II
Computational and Mathematical Methods in Medicine, Volume 11, Issue 1, Page 67-88, 2010., 2010 This paper considers modelling atherogenesis, the initiation of atherosclerosis, as an inflammatory instability. Motivated by the disease paradigm articulated by Russell Ross, atherogenesis is viewed as an inflammatory spiral with positive feedback loop involving key cellular and chemical species interacting and reacting within the intimal layer of ...
A. I. Ibragimov +3 more
wiley +1 more source