Dr Klemens Fellner

Career

• October 2007-date: Senior Research Associate, DAMTP, University of Cambridge
• July 2005-date: Assistent (currently on leave of absence), Faculty of Mathematics, University of Vienna
• 2003-2005: Post-Doc, Vienna University of Technology & University of Vienna
• 2002/2003: PhD with highest distiction, Vienna University of Technology & University of Vienna

Research

  Klemens is a member of the Department of Applied Mathematics and Theoretical Physics "Applied partial differential equations" research group. His current research interests are analysis, numerics, and asymptotic behaviour of drift-diffusion-reaction type systems modelling applications in chemical kinetics, semiconductor physics, and biology, such as modelling of swimming micro-organism, population dynamics, and protein localisation in stem-cell division.

Selected Publications

• L. Desvillettes, K. Fellner, Large-time asymptotics for a continuous coagulation-fragmentation model with degenerate size-dependent diffusion, submitted to SIMA
• M. Di Francesco, K. Fellner, P. Markowich, The entropy method for inhomogenous reaction-diffusion systems, Proc. R. Soc. A 464 (2008) 3273-3300.
• J. A. Carrillo, L. Desvillettes, K. Fellner, Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model, Comm. Math. Physics 278, no. 2 (2008) 433-451.
• L. Desvillettes, K. Fellner, Exponential decay towards equilibrium via entropy methods for reaction-diffusion equations, J. Math. Anal. Appl. 319 (2006) 157-176.
• K. Fellner, F. Poupaud, C. Schmeiser, Existence and convergence to equilibrium of a kinetic model for cometary flows, J. Stat. Phys. 114, no. 5-6 (2004) 1481-1499.
• K. Fellner, C. Schmeiser, Burgers-Poisson: A nonlinear dispersive model problem, SIAM J. Appl. Math. 64, no. 5 (2004) 1509-1525.