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In this paper, we consider the Cauchy problem for a generalized Boussinesq equation with double damping terms. By using improved convexity method combined with potential well method and Fourier transform,… Click to show full abstract
In this paper, we consider the Cauchy problem for a generalized Boussinesq equation with double damping terms. By using improved convexity method combined with potential well method and Fourier transform, we show the finite time blow-up of the solution with arbitrarily high initial energy while many similar results require the corresponding energy to be less than some certain numbers.
Keywords:
equation double;
double damping;
generalized boussinesq;
boussinesq equation;
damping terms
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2020
Link to full text (if available)
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!