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Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation without Angular Cutoff
Kinetic equations Boltzmann equation without angular cutoff Regularity
2011/2/25
In this paper, we establish optimal hypoelliptic estimates for a class of kinetic equations, which are linear models for the spatially inhomogeneous Boltzmann equation without angular cutoff.
Reduce and Solve Boltzmann Equation on a Global Lie Group
Reduce Solve Boltzmann Equation Global Lie Group
2011/1/21
A global solution of Boltzmann equation is proposed after introducing a three-dimensional closed Lie group to simplify the collision term.
Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation
Poisson-Boltzmann equation semi-linear partial differential equations
2010/12/14
We consider the design of an effective and reliable adaptive finite element method (AFEM) for the nonlinear Poisson-Boltzmann equation (PBE).We first examine the two-term regularization technique for ...