Analysis of selfsimilar solutions and a comparison principle for an heterogeneous diffusion cooperative system with advection and non-linear reaction-Reference-Cited by-同舟云学术

Analysis of selfsimilar solutions and a comparison principle for an heterogeneous diffusion cooperative system with advection and non-linear reaction

Published:2021-11-13 Issue:8 Volume:40 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Palencia José Luis Díaz^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40314-021-01689-y.pdf

Reference17 articles.

1. Bonheure D, Hamel F (2017) One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in $${R}^N$$. Chin Ann Math Ser B 38:149–172

2. Bonheure D, Sánchez L (2006) Heteroclinics Orbits for some classes of second and fourth order differential equations. Handbook Differ Equ 3(06):103–202

3. Chavez M, Galaktionov V (2001) Regional blow up for a higher-order semilinear parabolic equation. Eur J Appl Math 12:601–623

4. Dee GT, Van Sarloos W (1998) Bistable systems with propagating fronts leading to pattern formation. Phys Rev Lett 60

5. Escobedo M, Kavian O (1987) Variational problems related to self-similar solutions of the heat equation. Nonlinear Anal 1103–1133

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Instabilities of standing waves and positivity in traveling waves to a higher‐order Schrödinger equation;Mathematical Methods in the Applied Sciences;2024-06-30

2. On Blow-Up Solutions for the Fourth-Order Nonlinear Schrödinger Equation with Mixed Dispersions;Axioms;2024-03-13

3. An Unconditionally Stable Difference Scheme for the Two-Dimensional Modified Fisher–Kolmogorov–Petrovsky–Piscounov Equation;Journal of Mathematics;2023-07-25

4. Global stability and Hopf bifurcation of a delayed cooperative species model with density-dependent diffusion;Journal of Mathematical Analysis and Applications;2023-05

5. Oscillatory solutions and smoothing of a higher-order p-Laplacian operator;Electronic Research Archive;2022