5 papers
Velocity Averaging for the Wigner Kinetic Equation in the Semiclassical Regime
François Golse, Jakob Möller
This paper discusses the possibility of applying the velocity averaging theorems in [F. Golse, P.-L. Lions, B. Perthame, R. Sentis: J. Funct. Anal. 76(1):110--125, 1988] to the Wig…
The Semi-Classical Limit from the Dirac Equation with Time-Dependent External Electromagnetic Field to Relativistic Vlasov Equations
François Golse, Nikolai Leopold, Norbert J. Mauser +2
We prove the mathematically rigorous (semi-)classical limit of the Dirac equation with time-dependent external electromagnetic field to relativistic Vlasov equations…
Velocity Averaging Lemmas: Classical, Quantum and Semi-Classical
François Golse, Norbert J. Mauser, Jakob Möller
Averaging lemmas were introduced as a tool of the mathematical analysis of kinetic equations, i.e. PDEs for functions in phase space containing a transport ("advection") te…
Local Wellposedness and Global Weak Solutions of the Pauli-Darwin/Poisswell Equations
Pierre Germain, Norbert J. Mauser, Jakob Möller
We construct local (in time) strong solutions in {, } and global weak solutions with finite energy for both the Pauli-Darwin and the Pauli-Poisswell syste…
The semiclassical limit from the Pauli-Poisswell/Darwin to the Euler-Poisswell/Darwin system by WKB methods
Norbert J. Mauser, Jakob Möller, Changhe Yang
The self-consistent Pauli-Poisswell and Pauli-Darwin equations for 2-spinors are (where denotes the speed of light) semi-relativistic approximations of the Dirac-Maxwe…