Sufficient close-to-necessary conditions for the blowup of solutions to a strongly nonlinear generalized Boussinesq equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 9, pp. 1629-1637
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
An initial boundary value problem for the generalized Boussinesq equation with allowance for linear dissipation and free electron sources is considered. The strong generalized time-local solvability of the problem is proved. Sufficient conditions are obtained for the blowup of the solution and for time-global solvability. Two-sided estimates of the blowup time are derived.
[1] Sveshnikov A. G., Alshin A. B., Korpusov M. O., Pletner Yu. D., Lineinye i nelineinye uravneniya Sobolevskogo tipa, Fizmatlit, M., 2006 | Zbl
[2] Bonch-Bruevich V. L., Kalashnikov S. G., Fizika poluprovodnikov, Nauka, M., 1990
[3] Bonch-Bruevich V. L., Zvyagin I. P., Mironov A. G., Domennaya elektricheskaya neustoichivost v poluprovodnikakh, Nauka, M., 1972
[4] Vainberg M. M., Variatsionnye metody issledovaniya nelineinykh operatorov, Gostekhteorizdat, M., 1956