Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation-Reference-Cited by-同舟云学术

Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation

Published:2017-06-27 Issue:18 Volume:40 Page:6480-6494
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

D'Abbicco M.¹^ORCID,Ebert M. R.²,Lucente S.¹

Affiliation:

1. Department of Mathematics; University of Bari, Via E. Orabona 4; Bari 70124 Italy

2. Departamento de Computação e Matemática; Universidade de São Paulo (USP), FFCLRP, Av. Bandeirantes, 3900, Campus da USP, CEP 14040-901; Ribeirão Preto SP Brasil

Funder

Fundação de Amparo à Pesquisa do Estado de São Paulo

Istituto Nazionale di Alta Matematica "Francesco Severi"

GNAMPA Project 2015

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference27 articles.

1. A classification of structural dissipations for evolution operators;D'Abbicco;Math Meth Appl Sci,2016

2. Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space;Charão;Journal of Math Anal and Appl,2013

3. New decay rates for a problem of plate dynamics with fractional damping;Charão;J Hyperbolic Differ Equ,2013

4. Asymptotic profiles for wave equations with strong damping;Ikehata;J Differential Equations,2014

Cited by 12 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. Fractional Nonlinearity for the Wave Equation with Friction and Viscoelastic Damping;Axioms;2022-10-01

2. Semilinear $$\sigma $$-evolution models with friction and visco-elastic type damping;Nonlinear Differential Equations and Applications NoDEA;2022-08-30

3. Critical exponent of Fujita type for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime;Mathematical Methods in the Applied Sciences;2022-08-25

4. Global existence and estimates for Blackstock's model of thermoviscous flow with second sound phenomena;Journal of Differential Equations;2022-07

5. Equipartition of energy for nonautonomous damped wave equations;Discrete & Continuous Dynamical Systems - S;2021