Geodesic
Blow-up of solutions to a periodic nonlinear dispersive rod equation
Documenta mathematica, Tome 15 (2010), pp. 267-283.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: In this paper, firstly we find an optimal constant for a convolution problem on the unit circle via the variational method. Then by using the optimal constant, we give a new and improved sufficient condition on the initial data to guarantee the corresponding strong solution blows up in finite time. We also analyze the corresponding ordinary difference equation associate to the convolution problem and give numerical simulation for the optimal constant.
Classification : 30C70, 37L05, 35Q58, 58E35
Mots-clés : best constant, convolution problem, rod equation, singularity 
@article{DOCMA_2010__15__a26,
     author = {Jin, Liangbing and Liu, Yongming and Zhou, Yong},
     title = {Blow-up of solutions to a periodic nonlinear dispersive rod equation},
     journal = {Documenta mathematica},
     pages = {267--283},
     publisher = {mathdoc},
     volume = {15},
     year = {2010},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/DOCMA_2010__15__a26/}
}
TY  - JOUR
AU  - Jin, Liangbing
AU  - Liu, Yongming
AU  - Zhou, Yong
TI  - Blow-up of solutions to a periodic nonlinear dispersive rod equation
JO  - Documenta mathematica
PY  - 2010
SP  - 267
EP  - 283
VL  - 15
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/DOCMA_2010__15__a26/
LA  - en
ID  - DOCMA_2010__15__a26
ER  - 
%0 Journal Article
%A Jin, Liangbing
%A Liu, Yongming
%A Zhou, Yong
%T Blow-up of solutions to a periodic nonlinear dispersive rod equation
%J Documenta mathematica
%D 2010
%P 267-283
%V 15
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/DOCMA_2010__15__a26/
%G en
%F DOCMA_2010__15__a26
Jin, Liangbing; Liu, Yongming; Zhou, Yong. Blow-up of solutions to a periodic nonlinear dispersive rod equation. Documenta mathematica, Tome 15 (2010), pp. 267-283. https://geodesic-test.mathdoc.fr/item/DOCMA_2010__15__a26/