Browsing by Author "Jochmann, Frank"

Now showing items 1-5 of 5

2005-11-15Buch

Asymptotic behaviour of solutions of semilinear hyperbolic systems in arbitrary domains

Jochmann, Frank

In this paper the long time asymptotic behaviour of solutions to semilnear first order hyperbolic systems including Maxwell's equations and the scalar wave-equation in an arbitrary spatial domain is investigated. Weak ...
2005-11-07Buch

Large time asymptotics of solutions to the anharmonic oscillator model from nonlinear optics

Jochmann, Frank

The anharmonic oscillator model describing the propagation of electromagnetic waves in an exterior domain containing a nonlinear dielectric medium is investigated. The system under consideration consists of a generally ...
2005-11-16Buch

On Maxwell's equations in exterior domains

Jochmann, Frank

In this paper the long time asymptotic behavior of solutions of Maxwell's equations with electric conductivity in an exterior domain with mixed boundary conditions is investigated. It is shown that the solution behaves ...
2005-11-02Buch

Qualitative behavior of weak solutions of the drift diffusion model for semiconductor devices coupled with Maxwell’s equations

Jochmann, Frank

The transient drift-diffusion model describing the charge transport in semiconductors is considered. Poisson's equation, which is usually used, is replaced by Maxwell's equations. The diffusion- and mobility-coefficients ...
2005-11-10Buch

The semistatic limit for Maxwell's equations in an exterior domain

Jochmann, Frank

This paper provides a $L^p$-theory for the Maxwell-system in the semistatic limit case in an exterior domain. The problem under consideration is of mixed type, since the possibly nonlinear electric conductivity vanishes ...