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Research interests:

I work at the interface between physics and the theory of partial differential equations. In recent years, I have worked on the Prandtl's boundary layer theory, the kinetic theory of plasmas, the dynamics of coherent structures, the stability theory of nonlinear waves, and the weak turbulence theory. See below for details.

Publications:

0. Books: 

I. Boundary layers in fluids: 

II. Frameworks for ill-posedness caused by spacetime ellipticity (Lax-Mizohata's theorem)

III. Kinetic theory of plasmas:

IV. Quantum kinetic theory:

V. Dynamics of coherent structures:

VI. Dynamics of shock waves and noncharacteristic boundary layers:

VII. Elliptic and parabolic regularity theory:

VIII. Others:


Back to Toan Nguyen's homepage.

Visit Toan Nguyen's blog: Snapshots in Mathematics!.