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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 9, Pages 1629–1637 (Mi zvmmf112)  
This article is cited in 10 scientific papers (total in 10 papers)

Sufficient close-to-necessary conditions for the blowup of solutions to a strongly nonlinear generalized Boussinesq equation

M. O. Korpusov, A. G. Sveshnikov

Faculty of Physics, Moscow State University, Moscow, 119992, Russia
Full-text PDF (790 kB) Citations (10)
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Abstract: An initial boundary value problem for the generalized Boussinesq equation with allowance for linear dissipation and free electron sources is considered. The strong generalized time-local solvability of the problem is proved. Sufficient conditions are obtained for the blowup of the solution and for time-global solvability. Two-sided estimates of the blowup time are derived.
Key words: nonlinear generalized Boussinesq equation, solution blowup conditions, time solvability conditions.
Received: 01.11.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 9, Pages 1591–1599
DOI: https://doi.org/10.1134/S0965542508090091
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. O. Korpusov, A. G. Sveshnikov, “Sufficient close-to-necessary conditions for the blowup of solutions to a strongly nonlinear generalized Boussinesq equation”, Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008), 1629–1637; Comput. Math. Math. Phys., 48:9 (2008), 1591–1599
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    1. Rong Zhang, Trends in Mathematics, 5, Women in Analysis and PDE, 2024, 415  crossref
    2. Amar OUAOUA, Wissem BOUGHAMSA, “Exponential growth of solution for a couple of semi-linear pseudo-parabolic equations with memory and source terms”, J. Innov. Appl. Math. Comput. Sci, 2:1 (2022), 43  crossref
    3. Zhang H. Hu Q. Liu G., “Global Existence, Asymptotic Stability and Blow-Up of Solutions For the Generalized Boussinesq Equation With Nonlinear Boundary Condition”, Math. Nachr., 293:2 (2020), 386–404  crossref  isi
    4. Piskin E., Ekinci F., “Blow Up, Exponential Growth of Solution For a Reaction-Diffusion Equation With Multiple Nonlinearities”, Tbil. Math. J., 12:4 (2019), 61–70  isi
    5. Piskin E., Ekinci F., “Nonexistence and Growth of Solutions For a Parabolic P-Laplacian System”, Sigma J. Eng. Nat. Sci., 10:3, SI (2019), 301–307  isi
    6. Erhan Pişkin, Fatma Ekinci, “Blow up, exponential growth of solution for a reaction-diffusion equation with multiple nonlinearities”, Tbilisi Math. J., 12:4 (2019)  crossref
    7. Jian Dang, Qingying Hu, Suxia Xia, Hongwei Zhang, “Exponential Growth of Solution for a Class of Reaction Diffusion Equation with Memory and Multiple Nonlinearities”, Research in Applied Mathematics, 1 (2017)  crossref
    8. 龙飞 齐, “Blowup of Solutions for a System of Doubly Nonlinear Degenerate Parabolic Equations with p-Laplacian”, AAM, 04:02 (2015), 129  crossref
    9. Zhang H. Lu J. Hu Q., “Exponential Growth of Solution of a Strongly Nonlinear Generalized Boussinesq Equation”, Comput. Math. Appl., 68:12, A (2014), 1787–1793  crossref  mathscinet  zmath  isi  elib  scopus
    10. Lu J., Hu Q., Zhang H., “Blowup of Solution For a Class of Doubly Nonlinear Parabolic Systems”, J. Funct. space, 2014, 924596  crossref  mathscinet  zmath  isi  elib  scopus
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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