Abstract
The blow-up of solutions to Von Karman equations with arbitrary initial energy is proved. The proof is based on energy estimates, Lebesgue and Sobolev spaces with variable exponents, and ordinary differential inequalities. The results of this paper generalize the previous blow-up results of this model. More precisely, we show the existence of finite time blow-up solutions with arbitrary initial energy whereas the previous results were given when the initial energy was less than a positive constant.
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Li, L., Zhou, J. Blow-Up of Solutions to Von Karman Equations with Arbitrary Initial Energy. Mediterr. J. Math. 20, 94 (2023). https://doi.org/10.1007/s00009-023-02329-x
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DOI: https://doi.org/10.1007/s00009-023-02329-x