• Keine Ergebnisse gefunden

Blow Up of Solutions for a System of Nonlinear Viscoelastic Equations with Damping Terms in RRR

N/A
N/A
Info
Herunterladen
Protected

Academic year: 2022

Aktie "Blow Up of Solutions for a System of Nonlinear Viscoelastic Equations with Damping Terms in RRR"

Copied!
1
0
0

Wird geladen.... (Jetzt Volltext ansehen)

Jetzt herunterladen ( 1 Seite )

Volltext

(1)

Blow Up of Solutions for a System of Nonlinear Viscoelastic Equations with Damping Terms in R R R

n

Wenjun Liua,band Shengqi Yub

aCollege of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China

bDepartment of Mathematics, Southeast University, Nanjing 210096, China Reprint requests to W. J. L.; E-mail: wjliu@nuist.edu.cn

Z. Naturforsch.64a,180 – 184 (2009); received June 16, 2008

We consider a coupled system of nonlinear viscoelastic equations with linear damping and source terms. Under suitable conditions of the initial data and the relaxation functions, we prove a finite- time blow-up result with vanishing initial energy by using the modified energy method and a crucial lemma on differential inequality.

Key words:Blow Up; Coupled System; Nonlinear Viscoelastic Equation; Damping Term.

AMS Subject Classification (2000):35B05, 35L05, 35L15

Referenzen

Jetzt herunterladen ( PDF - 1 Seite - 28.29 KB )

ÄHNLICHE DOKUMENTE

Blow-up results for systems of nonlinear Schr¨ odinger equations with quadratic interac- tion

In the case κ = 1 2 and for radial data with negative energy, the finite time blow-up was shown by the first author in [8].. For the long time dynamics in the mass-critical case we

Delay‑induced blow‑up in a planar oscillation modelAlexey Eremin

In this paper, we propose an example model that time delay drastically changes the solution behavior and induces the blow-up solution together with a family of infinitely

Blow-Up of Solutions for a System of Petrovsky Equations with an Indirect Linear Damping

What makes the problem to be dis- cussed interesting is the fact that, due to several phys- ical considerations, the linear damping which is dis- tributed everywhere in the domain

Blow-Up of Solutions for a Class of Reaction-Diffusion Equations with a Gradient Term under Nonlinear Boundary Condition

By constructing a new auxiliary function and using Hopf’s maximum principles, we obtain the existence theorems of blow-up solutions, upper bound of blow-up time, and upper estimates

and Source Terms in IR

We prove a new finite time blow-up result for compactly supported initial data with non-positive initial energy as well as positive initial energy by using the modified energy

The blow-up rate of solutions to boundary blow-up problems for the complex Monge-Ampère operator

For certain boundary blow-up problems on bounded, strongly pseudoconvex domains in C n with smooth boundary an estimate of the blow-up rate of solutions are given in terms of

View of The Struggle of Educating. And of Being “A Grown-up”

For those engaged in adult education, this attitude translates into supporting the emergence and construction of all those opportunities that promote authentic

Emission Trading and the Role of Learning-By-Doing Spillovers in the Bottom-Up Energy-System ERIS Model

Emission trading has been proposed as one of the flexibility mechanisms to comply with greenhouse gas (GHG) emission reductions. It gives parties with expensive