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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 201, Number 1, Pages 54–64
DOI: https://doi.org/10.4213/tmf9643 (Mi tmf9643) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Blowup solutions of the nonlinear Thomas equation

M. O. Korpusov

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (423 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9643
Abstract: We study boundary value problems on an interval and on the half-line for the well-known Thomas equation $u_{xt}+\alpha u_x+\beta u_t+u_xu_t=0$, which is a model equation describing processes in chemical kinetics with ion exchange during sorption in a reagent stream. For this equation, we obtain sufficient conditions for its solution blowup in a finite time.
Keywords: Sobolev-type nonlinear equation, blowup, local solvability, nonlinear capacity, blowup time estimate.
Received: 09.10.2018
Revised: 04.03.2019
English version:
Theoretical and Mathematical Physics, 2019, Volume 201, Issue 1, Pages 1457–1467
DOI: https://doi.org/10.1134/S0040577919100040
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. O. Korpusov, “Blowup solutions of the nonlinear Thomas equation”, TMF, 201:1 (2019), 54–64; Theoret. and Math. Phys., 201:1 (2019), 1457–1467
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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