148 citations · 799 across the 56 of their papers we have counts for
58 papers
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…
Physics aware machine learning for micromagnetic energy minimization: recent algorithmic developments
Sebastian Schaffer, Thomas Schrefl, Harald Oezelt +2
In this work, we explore advanced machine learning techniques for minimizing Gibbs free energy in full 3D micromagnetic simulations. Building on Brown's bounds for magnetostatic se…
The cubic nonlinear Schrödinger equation with rough potential
Norbert J. Mauser, Yifei Wu, Xiaofei Zhao
We consider the cubic nonlinear Schrödinger equation with a spatially rough potential, a key equation in the mathematical setup for nonlinear Anderson localization. Our study compr…
Nonlinear PDE models in semi-relativistic quantum physics
Jakob Möller, Norbert J. Mauser
We present the self-consistent Pauli equation, a semi-relativistic model for charged spin--particles with self-interaction with the electromagnetic field. The Pauli equation a…