D I S S E R T A T I O N, Herr Jan Dipl, +10 authorsJan Sieber

We investigate the longitudinal dynamics of semiconductor lasers using a model which couples a linear hyperbolic system of partial differential equations with ordinary differential equations. We… (More)

We consider a mathematical model (the so-called traveling-wave system) which describes longitudinal dynamical effects in semiconductor lasers. This model consists of a linear hyperbolic system of… (More)

We consider two semiconductor lasers coupled face to face under the assumption that the delay time of the injection is small. The model under consideration consists of two coupled rate equations,… (More)

In this paper linear elliptic boundary value problems of second order with non-smooth data (L∞-coefficients, Lipschitz domains, regular sets, non-homogeneous mixed boundary conditions) are… (More)

Fach Mathematik, Herrn Dirk Peschka, +9 authorsEng

2009

In this dissertation the formation of interfacial singularities of fluid surfaces is studied. Starting with a discussion of the most important physical effects, a two-dimensional model, which… (More)

D I S S E R T A T I O N, Fach Nat Im, +11 authorsBeeinflusst

2010

In this dissertation we consider the topic of derivation, analysis and numerics of reduced ODE models corresponding to a family of one-dimensional lubrication equations derived in Münch et al. [1].… (More)

In this paper linear elliptic boundary value problems of second order with non-smooth data (L 1-coeecients, Lipschitz domain, mixed boundary conditions) are considered. It is shown that the weak… (More)

We study a bifurcation problem for the equation ∆u+λu+ g(λ, u) = 0 on a rectangle with Signorini boundary conditions on a part of one edge and mixed (zero Dirichlet and Neumann) boundary conditions… (More)

We present definitions of Banach spaces predual to Campanato spaces and Sobolev-Campanato spaces, respectively, and we announce some results on embeddings and isomorphisms between these spaces.… (More)