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The Singularity Formation on the Coupled Burgers–Constantin–Lax–Majda System with the Nonlocal Term

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  • Linrui Li
  • Shu Wang

Abstract

In this paper, we study the finite-time singularity formation on the coupled Burgers–Constantin–Lax–Majda system with the nonlocal term, which is one nonlinear nonlocal system of combining Burgers equations with Constantin–Lax–Majda equations. We discuss whether the finite-time blow-up singularity mechanism of the system depends upon the domination between the CLM type’s vortex-stretching term and the Burgers type’s convection term in some sense. We give two kinds of different finite-time blow-up results and prove the local smooth solution of the nonlocal system blows up in finite time for two classes of large initial data.

Suggested Citation

  • Linrui Li & Shu Wang, 2020. "The Singularity Formation on the Coupled Burgers–Constantin–Lax–Majda System with the Nonlocal Term," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-8, July.
    • Handle: RePEc:hin:jnddns:2757398
    DOI: 10.1155/2020/2757398
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