A BLOWUP CRITERION FOR THE 2D k-epsilon MODEL EQUATIONS FOR TURBULENT FLOWS

作者：Yuan, Baoquan^*; Qin, Guoquan

来源：Kinetic and Related Models, 2016, 9(4): 777-796.

DOI：10.3934/kmr.2016016

• k-epsilon model equations
• strong solution
• blow up criterion
• compressible flows
• turbulence

We establish a blow up criterion for the two-dimensional k-epsilon model equations for turbulent flows in a bounded smooth domain Omega. It is shown that for the initial-boundary value problem of the 2D k-epsilon model equations in a bounded smooth domain, if parallel to del u parallel to(L)1((0,T;L)infinity()) + parallel to del rho parallel to(L)2((0,T;L)infinity()) + parallel to epsilon parallel to L-(0,T;L(2)infinity()) < infinity, then the strong solution (p, u, h, k, epsilon) can be extended beyond T.

• 出版日期2016-12
• 单位河南理工大学