Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations

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. © 2019, Pleiades Publishing, Ltd.

Authors
Shishkov A.E. 1, 2 , Yevgenieva Y.A.2
Journal
Mathematical Notes
Number of issue
3-4
Language
English
Pages
639-650
Status
Published
Link
External link
DOI
10.1134/S000143461909030X
Volume
106
Year
2019
Organizations
  • 1 RUDN University, Moscow, 117198, Russian Federation
  • 2 Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Slavyansk, 84116, Ukraine
Keywords
blow-up regimes; energy solutions; quasilinear parabolic equations
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/55054/
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