Results 21 to 30 of about 1,562 (125)
The regularity of weak solutions for certain n-dimensional strongly coupled parabolic systems
Advanced Nonlinear Studies, 2022 This paper is concerned with the n-dimensional strongly coupled parabolic systems with triangular form in the cylinder Ω×(0,T]\Omega \times (0,T]. We investigate L2{L}^{2} and Hölder regularity of the derivatives of weak solutions (u1,u2)\left({u}_{1},{u}
Tan Qi-Jian
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Robustness for a Liouville type theorem in exterior domains [PDF]
, 2013 We are interested in the robustness of a Liouville type theorem for a reaction diffusion equation in exterior domains. Indeed H. Berestycki, F. Hamel and H. Matano (2009) proved such a result as soon as the domain satisfies some geometric properties.
H Berestycki, Juliette Bouhours
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Sharp profiles for diffusive logistic equation with spatial heterogeneity
Advanced Nonlinear Studies, 2023 In this article, we study the sharp profiles of positive solutions to the diffusive logistic equation. By employing parameters and analyzing the corresponding perturbation equations, we find the effects of boundary and spatial heterogeneity on the ...
Xing Yan-Hua, Sun Jian-Wen
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Nonautonomous Dynamical Systems, 2020 The aim of this work is to give sufficient conditions ensuring that the space PAP(, X, µ) of µ-pseudo almost periodic functions and the space PAA(, X, µ) of µ-pseudo almost automorphic functions are invariant by the convolution product f = k * f, k ...
Béssémè Fritz Mbounja +4 more
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Shock Formation in a Multidimensional Viscoelastic Diffusive System [PDF]
, 1995 We examine a model for non-Fickian "sorption overshoot" behavior in diffusive polymer-penetrant systems. The equations of motion proposed by Cohen and White [SIAM J. Appl. Math., 51 (1991), pp.
Cohen, Donald S. +2 more
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On a class of nonlinear reaction‐diffusion systems with nonlocal boundary conditions
Abstract and Applied Analysis, Volume 2004, Issue 9, Page 793-813, 2004., 2004 We prove the existence, uniqueness, and continuous dependence of a generalized solution of a nonlinear reaction‐diffusion system with only integral terms in the boundaries. We first solve a particular case of the problem by using the energy‐integral method. Next, via an iteration procedure, we derive the obtained results to study the solvability of the
Abdelfatah Bouziani
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On controllability, parametrization, and output tracking of a linearized bioreactor model
Journal of Applied Mathematics, Volume 2003, Issue 5, Page 243-276, 2003., 2003 The paper deals with a distributed parameter system related to the so‐called fixed‐bed bioreactor. The original nonlinear partial differential system is linearized around the steady state. We find that the linearized system is not exactly controllable but it is approximatively controllable when certain algebraic equations hold.
J. Tervo, M. T. Nihtilä, P. Kokkonen
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Asymptotic stability of solutions for a diffusive epidemic model
Demonstratio Mathematica, 2022 The aim of this paper is to study the existence and the asymptotic stability of solutions for an epidemiologically emerging reaction-diffusion model. We show that the model has two types of equilibrium points to resolve the proposed system for a fairly ...
Bouaziz Khelifa +2 more
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Incompressible limit of mechanical model of tumor growth with viscosity [PDF]
, 2014 Various models of tumor growth are available in the litterature. A first class describes the evolution of the cell number density when considered as a continuous visco-elastic material with growth.
Perthame, Benoit, Vauchelet, Nicolas
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Connections between the convective diffusion equation and the forced Burgers equation
International Journal of Stochastic Analysis, Volume 15, Issue 1, Page 53-69, 2002., 2002 The convective diffusion equation with drift b(x) and indefinite weight r(x), ∂ϕ∂t=∂∂x[a∂ϕ∂x−b(x)ϕ]+λr(x)ϕ, (1) is introduced as a model for population dispersal. Strong connections between Equation (1) and the forced Burgers equation with positive frequency (m ≥ 0), ∂u∂t=∂2u∂x2−u∂u∂x+mu+k(x), (2) are established through the Hopf‐Cole transformation ...
Nejib Smaoui, Fethi Belgacem
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