Email this article Global Unsolvability of the Burgers Equation with Fractional Time Derivative
- Authors: Torebek B.T.1,2
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Affiliations:
- Institute of Mathematics and Mathematical Modeling
- Al-Farabi Kazakh National University
- Issue: Vol 55, No 6 (2019)
- Pages: 867-870
- Section: Short Communications
- URL: https://journal-vniispk.ru/0012-2661/article/view/155063
- DOI: https://doi.org/10.1134/S0012266119060156
- ID: 155063
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Abstract
We obtain sufficient conditions for the nonexistence of time-global solutions of a fractional analog of the Burgers equation. Examples of solution blowup are considered for the Cauchy problem. The Mitidieri-Pokhozhaev nonlinear capacity method is used.
About the authors
B. T. Torebek
Institute of Mathematics and Mathematical Modeling; Al-Farabi Kazakh National University
Author for correspondence.
Email: torebek@math.kz
Kazakhstan, Almaty, 050010; Almaty, 050040
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