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math.AP2014★ 73 cited
On the ill-posedness of the Prandtl equations in three space dimensions
Cheng-Jie Liu, Ya-Guang Wang, Tong Yang
In this paper, we give an instability criterion for the Prandtl equations in three space variables, which shows that the monotonicity condition of tangential velocity fields is not…
math.AP2014★ 9 cited
A well-posedness theory for the Prandtl equations in three space variables
Cheng-Jie Liu, Ya-Guang Wang, Tong Yang
The well-posedness of the three space dimensional Prandtl equations is studied under some constraint on its flow structure. It reveals that the classical Burgers equation plays an…