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

Linrui Li and Shu Wang

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-8

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:2757398

DOI: 10.1155/2020/2757398

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