Natural Sciences
Life Sciences
Scientific Computing
Scientific Computing

Prof. Tai-Ping Liu, Department of Mathematics, Stanford University, Stanford, USA

Mathematikon, Seminar Room 8, 4th Floor, Im Neuenheimer Feld 205

Interdisciplinary Center for Scientific Computing

The global flow picture for the steady Boltzmann equation is studied (jointly with Shih-Hsien Yu). The time-asymptotic analysis is based on explicit construction of the Green's function. For the resonance situation when one of the Euler characteristic speeds is near zero, there are coupling of Knudsen-type and fluid-like waves. The construction of Bifurcation and Sone Manifolds yields finite dimensional reduction of the center manifold. Fluid nonlinearity is recognized and applied to study the global flow picture.

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