Geodesic
Blowup of a~positive-energy solution of model wave equations in nonlinear dynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 1, pp. 3-17

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider four problems of model nonlinear equations appearing in nonlinear mechanics and obtain sufficient conditions for the finite-time blowup of the problem solutions in bounded domains with homogeneous Dirichlet conditions. The initial system energy can be an arbitrarily large positive quantity. We use a modified Levin method to prove the blowup.
Keywords: finite-time blowup, generalized Klein–Gordon equation, nonlinear hyperbolic equation, nonlinear mixed boundary value problem, field theory. 
@article{TMF_2012_171_1_a0,
     author = {M. O. Korpusov},
     title = {Blowup of a~positive-energy solution of model wave equations in nonlinear dynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--17},
     publisher = {mathdoc},
     volume = {171},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_171_1_a0/}
}
TY  - JOUR
AU  - M. O. Korpusov
TI  - Blowup of a~positive-energy solution of model wave equations in nonlinear dynamics
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2012
SP  - 3
EP  - 17
VL  - 171
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2012_171_1_a0/
LA  - ru
ID  - TMF_2012_171_1_a0
ER  - 
%0 Journal Article
%A M. O. Korpusov
%T Blowup of a~positive-energy solution of model wave equations in nonlinear dynamics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2012
%P 3-17
%V 171
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2012_171_1_a0/
%G ru
%F TMF_2012_171_1_a0
M. O. Korpusov. Blowup of a~positive-energy solution of model wave equations in nonlinear dynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/TMF_2012_171_1_a0/