典型文献
THEORETICAL AND NUMERICAL STUDY OF THE BLOW UP IN A NONLINEAR VISCOELASTIC PROBLEM WITH VARIABLE-EXPONENT AND ARBITRARY POSITIVE ENERGY
文献摘要：
In this paper,we consider the following nonlinear viscoelastic wave equation with variable exponents:utt-△u + ∫0tg(t-τ)Au(x,τ)dτ + μut =|u|p(x)-2u,where μ is a nonnegative constant and the exponent of nonlinearity p(·) and g are given functions.Under arbitrary positive initial energy and specific conditions on the relaxation function g,we prove a finite-time blow-up result.We also give some numerical applications to illustrate our theoretical results.
文献关键词：
中图分类号：
作者姓名：
Ala A.TALAHMEH;Salim A.MESSAOUDI;Mohamed ALAHYANE
作者机构：
Department of Mathematics,Birzeit University,West Bank,Palestine;Department of Mathematics,University of Sharjah,P.O.Box 27272,Sharjah,UAE;Department of Mathematics,RISE,University of Sharjah,P.O.Box 27272,Sharjah,UAE
文献出处：
引用格式：
[1]Ala A.TALAHMEH;Salim A.MESSAOUDI;Mohamed ALAHYANE-.THEORETICAL AND NUMERICAL STUDY OF THE BLOW UP IN A NONLINEAR VISCOELASTIC PROBLEM WITH VARIABLE-EXPONENT AND ARBITRARY POSITIVE ENERGY)[J].数学物理学报（英文版）,2022(01):141-154
A类：
THEORETICAL,NUMERICAL,BLOW,NONLINEAR,VISCOELASTIC,PROBLEM,VARIABLE,EXPONENT,ARBITRARY,POSITIVE,0tg
B类：
AND,STUDY,OF,UP,WITH,ENERGY,In,this,paper,we,consider,following,viscoelastic,wave,equation,variable,exponents,utt,Au,2u,where,nonnegative,constant,nonlinearity,are,given,functions,Under,arbitrary,positive,initial,energy,specific,conditions,relaxation,prove,finite,blow,up,We,also,some,numerical,applications,illustrate,our,theoretical,results
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0.563045
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