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Partial Differential Equations & Applied Math: "Fluid dynamics equations with partial or fractional dissipation"

Dr. Jiahong Wu, Oklahoma State University

Wednesday, March 15, 2017
  1:10–2 p.m.

Location: Surge Building 268
  Parking Information

Category: Seminar

Description: There have been considerable recent developments on fluid dynamics equations with partial or fractional dissipation. These partial differential equations (PDEs) are not only mathematically important but also physically relevant. This talk focuses on fundamental mathematical problems on several such PDEs with fractional partial dissipation including the 3D Navier-Stokes, the surface quasi-geostrophic equation, the 2D Boussinesq and the 2D MHD equations with partial dissipation. When there is only partial fractional dissipation, some of the classical tools such as the maximal regularity estimates for the heat operator no longer apply. New techniques have been developed to fully exploit the regularization effects of such incomplete dissipation.We present several global regularity results based on these techniques.

Additional Information: PDE&AM

Open to: General Public
Admission: Free
Sponsor: Mathematics

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