Global Unsolvability of the Burgers Equation with Fractional Time Derivative


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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.

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B. Torebek

Institute of Mathematics and Mathematical Modeling; Al-Farabi Kazakh National University

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Email: torebek@math.kz
哈萨克斯坦, Almaty, 050010; Almaty, 050040

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