The Singularity Formation on the Coupled Burgers-Constantin-Lax-Majda System with the Nonlocal Term
Article
Li, L, Wang, S, Gal, CG. (2020). The Singularity Formation on the Coupled Burgers-Constantin-Lax-Majda System with the Nonlocal Term
. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020 10.1155/2020/2757398
Li, L, Wang, S, Gal, CG. (2020). The Singularity Formation on the Coupled Burgers-Constantin-Lax-Majda System with the Nonlocal Term
. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020 10.1155/2020/2757398
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.
