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A Low Mach Number Limit of a Dispersive Navier-Stokes System
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. TheExpand
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 uniqueExpand
Preparation of submicron liposomes exhibiting efficient entrapment of drugs by freeze-drying water-in-oil emulsions.
A novel liposome preparation method is described as freeze-drying of water-in-oil emulsions containing sucrose in the aqueous phase (W) and phospholipids and poly(ethylene glycol)(1500) (PEG) in the oil phase (O) to form liposomes with desirable properties, such as a small particle size and high EE. Expand
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 theExpand
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 ofExpand
Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels
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 aExpand
Half-space kinetic equations with general boundary conditions
The main technique is a damping adding-removing procedure, which establishes the well-posedness of linear (or linearized) half-space equations with general boundary conditions and quasi-optimality of the numerical scheme. Expand
The fractional diffusion limit of a kinetic model with biochemical pathway
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 haveExpand
Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics
This paper construct numerical schemes to approximate linear transport equations with slab geometry by diffusion equations by applying the half-space solver to resolve the boundary layer equation and obtain the boundary data for the diffusion equation. Expand