Hölder Continuous Solutions to the Three-dimensional Prandtl System

math.AP

/ Authors

/ Abstract

Adapting the convex integration technique introduced by De Lellis and Sz{é}kelyhidi, we construct Hölder continuous weak solutions to the three dimensional Prandtl system and some other models with vertical viscosity.

Hölder Continuous Solutions to the Three-dimensional Prandtl System

math.AP

/ Authors

Tianwen Luo, Zhouping Xin

/ Abstract

Adapting the convex integration technique introduced by De Lellis and Sz{é}kelyhidi, we construct Hölder continuous weak solutions to the three dimensional Prandtl system and some other models with vertical viscosity.