Geodesic
Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations
Matematičeskie zametki, Tome 106 (2019) no. 4, pp. 622-635

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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.
Keywords: quasilinear parabolic equations, energy solutions, blow-up regimes. 
@article{MZM_2019_106_4_a10,
     author = {A. E. Shishkov and Y. A. Yevgenieva},
     title = {Localized {Blow-Up} {Regimes} for {Quasilinear} {Doubly} {Degenerate} {Parabolic} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {622--635},
     publisher = {mathdoc},
     volume = {106},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_4_a10/}
}
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A. E. Shishkov; Y. A. Yevgenieva. Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations. Matematičeskie zametki, Tome 106 (2019) no. 4, pp. 622-635. http://geodesic.mathdoc.fr/item/MZM_2019_106_4_a10/