学术报告
报告内容简介:In this talk, we shall review our recent work on the
mathematical theory of the Prandtl boundary layers. The well-posedness
of the three dimensional Prandtl equations is studied under some
constraint on its flow structure. It reveals that the classical
Burgers equation plays an important role in determining this type of
flow with special structure, which avoids the appearance of the
complicated secondary flow in the three-dimensional Prandtl boundary
layer. Meanwhile, we shall also address a recent progress on boundary
layers in the non-isentropic compressible flows when both of viscosity
and heat conduction coefficients go to zero. This is the joint work
with Cheng-Jie Liu and Tong Yang.