On the global regularity of the 2D Oldroyd-B-type model
Zhuan Ye;Zhuan Ye;
annali di matematica pura ed applicata (1923 -)2018Vol. 198pp. 465-489
98
ye2018annalion
Abstract
This paper examines the global regularity problem of the two-dimensional Oldroyd-B-type model. When the initial $$L^2$$ L 2 -energy is suitably small or the initial stress tensor is nonnegative definite, we show that the corresponding system admits a unique global regular solution.