Results 21 to 30 of about 2,229 (130)
Moroccan Journal of Pure and Applied Analysis, 2017 In this paper, we prove the existence of in finitely many solutions for the following system by applying a critical point variational principle obtained by Ricceri as a consequence of a more general variational principle and the theory of the ...
Ahmed A. +2 more
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Advanced Nonlinear Studies, 2020 We consider the high-dimensional equation ∂tu-Δum+u-βχ{u>0}=0{\partial_{t}u-\Delta u^{m}+u^{-\beta}{\chi_{\{u>0\}}}=0}, extending the mathematical treatment made in 1992 by B. Kawohl and R. Kersner for the one-dimensional case.
Dao Nguyen Anh +2 more
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Finite speed of propagation for a non-local porous medium equation [PDF]
, 2015 This note is concerned with proving the finite speed of propagation for some non-local porous medium equation by adapting arguments developed by Caffarelli and V\'azquez (2010).Comment: 10 pages. New version after revision.
Imbert, Cyril
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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
wiley +1 more source
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
Mathematical Modelling of Immune Response in Tissues
Computational and Mathematical Methods in Medicine, Volume 10, Issue 1, Page 9-38, 2009., 2009 We have developed a spatial–temporal mathematical model (PDE) to capture fundamental aspects of the immune response to antigen. We have considered terms that broadly describe intercellular communication, cell movement, and effector function (activation or inhibition).
B. Su +3 more
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Noncoercive parabolic obstacle problems
Advances in Nonlinear Analysis, 2023 We prove an existence result for obstacle problems related to convection-diffusion parabolic equations with singular coefficients in the convective term.
Farroni Fernando +3 more
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Finite and infinite speed of propagation for porous medium equations with fractional pressure [PDF]
, 2013 We study a porous medium equation with fractional potential pressure: $$ \partial_t u= \nabla \cdot (u^{m-1} \nabla p), \quad p=(-\Delta)^{-s}u, $$ for $m>1 ...
del Teso, Félix +2 more
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Stability Analysis of a Model of Atherogenesis: An Energy Estimate Approach
Computational and Mathematical Methods in Medicine, Volume 9, Issue 2, Page 121-142, 2008., 2008 Atherosclerosis is a disease of the vasculature that is characterized by chronic inflammation and the accumulation of lipids and apoptotic cells in the walls of large arteries. This disease results in plaque growth in an infected artery typically leading to occlusion of the artery. Atherosclerosis is the leading cause of human mortality in the US, much
A. I. Ibragimov +3 more
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Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data
Moroccan Journal of Pure and Applied Analysis, 2022 This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of ...
Ajagjal Sana
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