4 papers · 1 filter
Existence of weak solutions for the kinetic models of motion of myxobacteria with alignment and reversals
Patrick Murphy, Oleg Igoshin, Misha Perepelitsa +1
In this paper, we consider three non-linear kinetic partial differential equations that emerge in the modeling of motion of rod-shaped cells such as myxobacteria. This motion is ch…
Gibb's minimization principle for approximate solutions of scalar conservation laws
Misha Perepelitsa
In this work we study variational properties of approximate solutions of scalar conservation laws. Solutions of this type are described by a kinetic equation which is similar to th…
Approximate solutions of scalar conservation laws
Misha Perepelitsa
We study compactness properties of time-discrete and continuous time BGK-type schemes for scalar conservation laws, in which microscopic interactions occur only when the state of a…
A kinetic transport-projection splitting algorithm for an hierarchy of moment closures of gas-kinetic equations
Misha Perepelitsa
We review some geometrical properties of models of moment closures of gas-kinetic equations, and consider a transport-projection splitting scheme for construction of solutions of s…