Geodesic
On Nonextendable Solutions and Blow-Ups of Solutions of Pseudoparabolic Equations with Coercive and Constant-Sign Nonlinearities: Analytical and Numerical Study
Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 708-723

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

The blow-up of solutions of two initial boundary-value problems different in the form of the equation's nonlinearity is investigated. This leads to different approaches to the analytical proof of the blow-up of solutions, but a result about the blow-up of solutions is obtained in both cases. The analytical study is supplemented by numerical investigations, which make it possible to determine the time of the blow-up and its character in each particular case.
Keywords: blow-up, nonextendable solution, Richardson extrapolation.
Mots-clés : pseudoparabolic equation 
@article{MZM_2019_105_5_a5,
     author = {I. I. Kolotov and A. A. Panin},
     title = {On {Nonextendable} {Solutions} and {Blow-Ups} of {Solutions} of {Pseudoparabolic} {Equations} with {Coercive} and {Constant-Sign} {Nonlinearities:} {Analytical} and {Numerical} {Study}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {708--723},
     publisher = {mathdoc},
     volume = {105},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a5/}
}
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I. I. Kolotov; A. A. Panin. On Nonextendable Solutions and Blow-Ups of Solutions of Pseudoparabolic Equations with Coercive and Constant-Sign Nonlinearities: Analytical and Numerical Study. Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 708-723. http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a5/