Email this article Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations
- Authors: Shishkov A.E.1,2, Yevgenieva Y.A.2
-
Affiliations:
- RUDN University
- Institute of Applied Mathematics and Mechanics
- Issue: Vol 106, No 3-4 (2019)
- Pages: 639-650
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/152169
- DOI: https://doi.org/10.1134/S000143461909030X
- ID: 152169
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
A. E. Shishkov
RUDN University; Institute of Applied Mathematics and Mechanics
Author for correspondence.
Email: aeshkv@yahoo.com
Russian Federation, Moscow, 117198; Slavyansk, 84116
Ye. A. Yevgenieva
Institute of Applied Mathematics and Mechanics
Author for correspondence.
Email: yevgeniia.yevgenieva@gmail.com
Ukraine, Slavyansk, 84116
Supplementary files
