Singular integral equations with applications to travelling waves for doubly nonlinear diffusion
نویسندگان
چکیده
The goal of this article is to offer a series results related the existence and properties wavefront solutions for doubly nonlinear diffusion–reaction equations involving p-Laplacian operator in terms constitutive functions problem. These are derived from analysis singular Volterra integral that appear study monotone travelling-wave such equations. Our extend ones due B. Gilding R. Kersner case $$p=2$$ $$p>1$$ . fact $$p\ne 2$$ modifies nature singularity equation, introduces need develop some new tools ideas analysis.
منابع مشابه
A New Strategy for Training RBF Network with Applications to Nonlinear Integral Equations
A new learning strategy is proposed for training of radial basis functions (RBF) network. We apply two different local optimization methods to update the output weights in training process, the gradient method and a combination of the gradient and Newton methods. Numerical results obtained in solving nonlinear integral equations show the excellent performance of the combined gradient method in ...
متن کاملGeneralized travelling waves for reaction-diffusion equations
In this paper, we introduce a generalization of travelling waves for evolution equations. We are especially interested in reaction-diffusion equations and systems in heterogeneous media (with general operators and general geometry). Our goal is threefold. First we give several definitions, for transition waves, fronts, pulses, global mean speed of propagation, etc. Next, we discuss the meaning ...
متن کاملTravelling waves in nonlinear diffusion-convection-reaction
The study of travelling waves or fronts has become an essential part of the mathematical analysis of nonlinear diffusion-convection-reaction processes. Whether or not a nonlinear second-order scalar reaction-convection-diffusion equation admits a travelling-wave solution can be determined by the study of a singular nonlinear integral equation. This article is devoted to demonstrating how this c...
متن کاملStanding waves for nonlinear Schrödinger equations with singular potentials
We study semiclassical states of nonlinear Schrödinger equations with anisotropic type potentials which may exhibit a combination of vanishing and singularity while allowing decays and unboundedness at infinity. We give existence of spike type standing waves concentrating at the singularities of the potentials. © 2008 Elsevier Masson SAS. All rights reserved. Résumé Nous étudions les états semi...
متن کاملBistable travelling waves for nonlocal reaction diffusion equations
We are concerned with travelling wave solutions arising in a reaction diffusion equation with bistable and nonlocal nonlinearity, for which the comparison principle does not hold. Stability of the equilibrium u ≡ 1 is not assumed. We construct a travelling wave solution connecting 0 to an unknown steady state, which is “above and away” from the intermediate equilibrium. For focusing kernels we ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Evolution Equations
سال: 2023
ISSN: ['1424-3199', '1424-3202']
DOI: https://doi.org/10.1007/s00028-023-00906-x