Results 51 to 60 of about 1,742 (157)
On the existence of the solution of Burgers′ equation for n ≤ 4
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 645-650, 1990., 1990 In this paper a proof of the existence of the solution of Burgers′ equation for n ≤ 4 is presented. The technique used is shown to be valid for equations with more general types of nonlinearities than is present in Burgers′ equation.
Adel N. Boules
wiley +1 more source
, 2011 We study a reaction-diusion evolution equation perturbed by a Gaussian noise. Here the leading operator is the innitesimal generator of a C0-semigroup of strictly negative type, the nonlinear term has at most polynomial growth and is such that the whole ...
S. Albeverio +2 more
semanticscholar +1 more source
On the solution of reaction‐diffusion equations with double diffusivity
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 1, Page 163-172, 1987., 1986 In this paper, solution of a pair of Coupled Partial Differential equations is derived. These equations arise in the solution of problems of flow of homogeneous liquids in fissured rocks and heat conduction involving two temperatures. These equations have been considered by Hill and Aifantis, but the technique we use appears to be simpler and more ...
B. D. Aggarwala, C. Nasim
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OPTIMAL CONTROL OF A TWO TEAMS PREY-PREDATOR INTERACTION MODEL
, 2015 In this paper, a model of two teams of predators interacting with two teams of preys is proposed. The predator teams help each other and so do the prey teams.
S. Aly, M. Elettreby
semanticscholar +1 more source
Unstable periodic wave solutions of Nerve Axion diffusion equations
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 4, Page 787-796, 1987., 1987 Unstable periodic solutions of systems of parabolic equations are studied. Special attention is given to the existence and stability of solutions.
Rina Ling
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Open Mathematics, 2020 In this paper, the blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients are investigated under Neumann boundary conditions.
Tian Huimin, Zhang Lingling
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Critical Exponents of Semilinear Equations via the Feynman-Kac Formula [PDF]
, 2007 2000 Mathematics Subject Classification: 60H30, 35K55, 35K57 ...
Alfredo Lopez-Mimbela, Jose +1 more
core
Differential constraints and exact solutions of nonlinear diffusion equations
, 2002 The differential constraints are applied to obtain explicit solutions of nonlinear diffusion equations. Certain linear determining equations with parameters are used to find such differential constraints. They generalize the determining equations used in
Andreev V K +24 more
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Analysis of the Diffusion SIR Epidemic Model With Networked Delay and Nonlinear Incidence Rate
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper is concerned with the qualitative analysis of a diffusion SIR epidemic model with networked delay and nonlinear incidence rate. First, we prove the existence and uniqueness of the model by using the method of upper and lower solutions. Then, we prove that the trivial equilibrium (0, 0) is unstable; the disease‐free equilibrium (N, 0) is ...
Xiangyu Tang, Yujuan Chen, Mengxin Chen
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Frontiers in Applied Mathematics and Statistics, 2023 Population diffusion in river-ocean ecologies and for wild animals, including birds, mainly depends on the availability of resources and habitats. This study explores the dynamics of the resource-based competition model for two interacting species in ...
Ishrat Zahan +4 more
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