Results 31 to 40 of about 1,301 (120)
Traveling waves for the Keller–Segel system with Fisher birth terms
, 2008 We consider the traveling wave problem for the one dimensional Keller-Segel system with a birth term of either a Fisher/KPP type or with a truncation for small population densities. We prove that there exists a solution under some stability conditions on
Grégoire Nadin, B. Perthame, L. Ryzhik
semanticscholar +1 more source
Front instability in a condensed phase combustion model
Advances in Nonlinear Analysis, 2015 We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis +2 more
doaj +1 more source
Existence and Multiplicity of Weak Solutions for a Neumann Elliptic Problem with -Laplacian
Nonautonomous Dynamical Systems, 2020 We are interested in the existence of multiple weak solutions for the Neumann elliptic problem involving the anisotropic -Laplacian operator, on a bounded domain with smooth boundary.
Bohner Martin +3 more
doaj +1 more source
Reaction diffusion equations and quadratic convergence
International Journal of Stochastic Analysis, Volume 10, Issue 2, Page 179-186, 1997., 1996 In this paper, the method of generalized quasilinearization has been extended to reaction diffusion equations. The extension includes earlier known results as special cases. The earlier results developed are when (i) the right‐hand side function is the sum of a convex and concave function, and (ii) the right‐hand function can be made convex by adding a
A. S. Vatsala +2 more
wiley +1 more source
Invasion traveling wave solutions of a competitive system with dispersal
, 2012 This paper is concerned with the invasion traveling wave solutions of a Lotka-Volterra type competition system with nonlocal dispersal, the purpose of which is to formulate the dynamics between the resident and the invader.
Shuxia Pan, G. Lin
semanticscholar +1 more source
Open Mathematics, 2018 The main purpose of this paper is to study the initial layer problem and the infinite Prandtl number limit of Rayleigh-Bénard convection with an ill prepared initial data.
Fan Xiaoting +3 more
doaj +1 more source
Flow invariance for perturbed nonlinear evolution equations
Abstract and Applied Analysis, Volume 1, Issue 4, Page 417-433, 1996., 2000 Let X be a real Banach space, J = [0, a] ⊂ R, A : D(A) ⊂ X → 2X\ϕ an m‐accretive operator and f : J × X → X continuous. In this paper we obtain necessary and sufficient conditions for weak positive invariance (also called viability) of closed sets K ⊂ X for the evolution system u′ + Au∍f(t, u) on J = [0, a].
Dieter Bothe
wiley +1 more source
Global existence for the discrete diffusive coagulation-fragmentation equations in $L^1$
, 2002 Existence of global weak solutions to the discrete coagulation-fragmentation equations with diffusion is proved under general assumptions on the coagulation and fragmentation coefficients.
P. Laurençot, S. Mischler
semanticscholar +1 more source
Convergence of a finite volume scheme for a parabolic system applied to image processing
Moroccan Journal of Pure and Applied Analysis, 2022 We analyze a finite volume scheme for a nonlinear reaction-diffusion system applied to image processing. First, we demonstrate the existence of a solution to the finite volume scheme.
Attmani Jamal +2 more
doaj +1 more source
Explicit solutions of Fisher′s equation with three zeros
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 617-620, 1990., 1990 Explicit traveling wave solutions of Fisher′s equation with three simple zeros ut = uxx + u(1 − u)(u − a), a ∈ (0, 1), are obtained for the wave speeds suggested by pure analytic considerations. Two types of solutions are obtained: one type is of a permanent wave form whereas the other is not.
M. F. K. Abur-Robb
wiley +1 more source