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Large-time behaviour of solutions to the surface quasi-geostrophic equation

Author

Listed:
  • Dáithí Ó hAodha

    (Tohoku University)

  • Tsukasa Iwabuchi

    (Tohoku University)

Abstract

We construct a linear approximation of the solution to the surface quasi-geostrophic equation in 2-dimensional Euclidean space, and obtain a convergence rate in the Lebesgue norm between the solution and this approximation with respect to time. We also demonstrate that the nonlinear term of the solution is bounded sharply by the same function of time.

Suggested Citation

  • Dáithí Ó hAodha & Tsukasa Iwabuchi, 2022. "Large-time behaviour of solutions to the surface quasi-geostrophic equation," Partial Differential Equations and Applications, Springer, vol. 3(5), pages 1-17, October.
    • Handle: RePEc:spr:pardea:v:3:y:2022:i:5:d:10.1007_s42985-022-00197-w
    DOI: 10.1007/s42985-022-00197-w
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