5 papers · 1 filter
Well-posedness of the Maxwell equations with nonlinear Ohm law
Jens A. Griepentrog, Joachim Naumann
This paper is concerned with weak solutions (e,h) in L^2 x L^2 of the Maxwell equations with nonlinear Ohm law and under perfect conductor boundary conditions. These solutions are…
On some properties of weak solutions to the Maxwell equations
Joachim Naumann
This paper is concerned with weak solutions {e,h} in L^2 x L^2 of the time-dependent Maxwell equations. We show that these solutions obey an energy equality. Our method of proof is…
On the existence of global-in-time weak solutions and scaling laws for Kolmogorov's two-equation model of turbulence
Alexander Mielke, Joachim Naumann
This paper is concerned with Kolmogorov's two-equation model for the free turbulence in three dimensions. We first discuss scaling laws for slightly more general two-equation model…
Existence of weak solutions of an unsteady thermistor problem with p-Laplacian type equation
Joachim Naumann
We prove the existence of weak solutions to an unsteady thermistor system with p-Laplacian type equation for the electrostatic potential, where the electrical conductivity of the t…
On the existence of weak solutions of a thermistor system with p-Laplacian type equation: the unsteady case
Joachim Naumann
We consider an unsteady thermistor system with a p-Laplace type equation for the electrostatic potential.