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A Low Mach Number Limit of a Dispersive Navier-Stokes System

- C. D. Levermore, W. Sun, K. Trivisa
- Computer Science, Mathematics
- SIAM J. Math. Anal.
- 22 May 2012

We establish a low Mach number limit for classical solutions over the whole space of a compressible fluid dynamic system that includes dispersive corrections to the Navier–Stokes equations. The… Expand

LOCAL WELL-POSEDNESS OF A GHOST EFFECT SYSTEM

A. We establish the local well-posedness result for the Cauch y problem of a ghost e ffect system from gas dynamics that derives from kinetic theory. We show t hat his system has a unique… Expand

Preparation of submicron liposomes exhibiting efficient entrapment of drugs by freeze-drying water-in-oil emulsions.

- Ting Wang, Ning Wang, Tongyan Wang, W. Sun, Tiefu Li
- Chemistry, Medicine
- Chemistry and physics of lipids
- 1 February 2011

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Validity and Regularization of Classical Half-Space Equations

Recent result (Wu and Guo in Commun Math Phys 336(3):1473–1553, 2015) has shown that over the 2D unit disk, the classical half-space equation (CHS) for the neutron transport does not capture the… Expand

The Radiative Transfer Equation in the Forward-Peaked Regime

In this work we study the radiative transfer equation in the forward-peaked regime in free space. Specifically, it is shown that the equation is well-posed by proving instantaneous regularization of… Expand

Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels

- C. D. Levermore, W. Sun
- Mathematics
- 1 May 2010

We prove an $L^p$ compactness result for the gain parts of the
linearized Boltzmann collision operator associated with weakly cutoff
collision kernels that derive from a power-law intermolecular … Expand

A convergent method for linear half-space kinetic equations

We give a unified proof for the well-posedness of a class of linear half-space equations with general incoming data and construct a Galerkin method to numerically resolve this type of equations in a… Expand

Half-space kinetic equations with general boundary conditions

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The fractional diffusion limit of a kinetic model with biochemical pathway

- B. Perthame, W. Sun, M. Tang
- Physics, Mathematics
- 11 September 2017

Kinetic-transport equations that take into account the intracellular pathways are now considered as the correct description of bacterial chemotaxis by run and tumble. Recent mathematical studies have… Expand

Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics

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