Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations
- Autores: Shishkov A.E.1,2, Yevgenieva Y.A.2
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Afiliações:
- RUDN University
- Institute of Applied Mathematics and Mechanics
- Edição: Volume 106, Nº 3-4 (2019)
- Páginas: 639-650
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/152169
- DOI: https://doi.org/10.1134/S000143461909030X
- ID: 152169
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Resumo
Singular blow-up regimes are studied for a wide class of second-order quasilinear parabolic equations. Energy methods are used to obtain exact (in a certain sense) estimates of the final profile of the generalized solution near the blow-up time depending on the rate of increase of the global energy of this solution.
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Sobre autores
A. Shishkov
RUDN University; Institute of Applied Mathematics and Mechanics
Autor responsável pela correspondência
Email: aeshkv@yahoo.com
Rússia, Moscow, 117198; Slavyansk, 84116
Ye. Yevgenieva
Institute of Applied Mathematics and Mechanics
Autor responsável pela correspondência
Email: yevgeniia.yevgenieva@gmail.com
Ucrânia, Slavyansk, 84116
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