Klemens Fellner

ursprung : Curriculum Vitae

Current positions: Professor of Applied Analysis, University of Graz

Research keywords: analysis and large-time behaviour of kinetic equations and reaction-diffusion equations, entropy methods, dualtiy methods, organic photovotaics, modelling of swimming micro-organism, reaction-diffusion processes in stem-cell division

Current teaching: Analysis 1 Exercises, Modelling Exercises, PDE Exercises

Publikations:

[26] D. Brinkman, K. Fellner, P. Markowich, M.-T. Wolfram , A Drift-Diffusion-Reaction Model for Excitonic Photovoltaic Bilayers: Asymptotic Analysis and a 2-D HDG Finite Element Scheme, to appear in M3AS.

[25] E. Hackett-Jones, K. Landman, K. Fellner, Aggregation patterns from non-local interactions: discrete stochatic and continuum modelling, Physical Review E 85 (2012) 041912.

[24] A. Chertock, K. Fellner, A. Kurganov, A. Lorz, P. Markowich, Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach, Journal of Fluid Mechanics 694 (2012) 155—190.

[23] K. Fellner, G. Raoul, Stability of stationary states of non-local interaction equations, Mathematical and Computer Modelling 53 (2011) 1436—1450.

[22] K. Fellner, G. Raoul, Stable stationary states of non-local interaction equations, Mathematical Models and Methods in Applied Sciences 20 (2010) 2267—2291.

[21Proc] J.A. Canizo, L. Desvillettes, K. Fellner, Absence of Gelation for Models of Coagulation-Fragmentation with Degenerate Diffusion, Il Nuovo Cimento, Proceedings of the ICTT 33 (2010) 79—86. to

[20Proc] L. Desvillettes, K. Fellner, Methods for Reaction-Diffusion Equations with Degenerate Diffusion Arising in Reversible Chemistry, accepted in the probably never to be printed Proceedings of the Equadiff 2007.

[19] R. Duan, K. Fellner, Ch. Zhu, Energy Method for Multi-dimensional Balance Laws with Non-local Dissipation, J. Math. Pures Appl. 93 (2010) 572—598.

[18] J.A. Canizo, L. Desvillettes, K. Fellner, Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion, Annales Institute H. Poincaré (C) Anal. Non Linéaire 27 (2010) 639—654.

[17] L. Desvillettes, K. Fellner, Large time asymptotics for a Continuous Coagulation-Fragmentation Model with Degenerate Size-dependent Diffusion, SIAM J. Math. Anal. 41 (2009) 2315—2334.

[16] J. Carrillo, L. Desvillettes, K. Fellner, Rigorous Derivation of a Nonlinear Diffusion Equation as Fast-Reaction Limit of a continuous Coagulation--Fragmentation Model with Diffusion, Comm. Partial Differential Equations 34 (2009) 1338—1351.

[15] M. Di Francesco, K. Fellner, P. Markowich, The entropy dissipation method for inhomogeneous reaction--diffusion systems, Proc. Royal Soc. A 464 (2008) 3272—3300.

[14] L. Desvillettes, K. Fellner, Entropy Methods for Reaction-Diffusion Equations: Slowly Growing A-priori Bounds, Revista Matemática Iberoamericana. 24 no. 2 (2008) 407—431.

[13] M. Di Francesco, K. Fellner, H. Liu, A non-local conservation law with nonlinear ‘radiation’ inhomogeneity, JHDE 5 no. 1 (2008) 1—23.

[12] J. Carrillo, L. Desvillettes, K. Fellner, Fast-Reaction Limit for the Inhomogeneous Aizenman-Bak Model. Kinetic and Related Models 1 no.1 (2008) 127—137.

[11] J. Carrillo, L. Desvillettes, K. Fellner, Exponential Decay Towards Equilibrium for the Inhomogeneous Aizenman-Bak Model. Comm. Math. Physics. 278 no. 2 (2008) 433—451.

[10Proc] L. Desvillettes, K. Fellner, Entropy Methods for Reaction-Diffusion Equations: Degenerate Diffusion. DCDS Supplements Special (2007) 304—312.

[9] K. Fellner, C. Schmeiser, Classification of equilibrium solutions of the cometary flow equation and explicit solutions of the Euler equations for monatomic ideal gases. J. Stat. Phys. 129 no.3 (2007) 493—507.

[8] L. Desvillettes, K. Fellner, M. Pierre, J. Vovelle, About Global Existence for Quadratic Systems of Reaction-Diffusion, J. Advanced Nonlinear Studies 7 no.3 (2007) 491—511.

[7Proc] K. Fellner, V. Miljanovic, C. Schmeiser, Entropy Method for the Linearized Cometary Flow Equation, Proceedings of the Tenth International Conference on Hyperbolic Problems, Editors F. Asakura, S. Kawashima, A Matsumura, S. Nishibata, K. Nishihara Yokohama Publishers (2006).

[6] K. Fellner, V. Miljanovic, C. Schmeiser, Convergence to equilibrium for the linearised cometary flow equation, Trans. Theory Stat. Phys. 35 no.3-4 (2006) 109—136.

[5] L. Desvillettes, K. Fellner, Exponential Decay toward Equilibrium via Entropy Methods for Reaction-Diffusion Equations, JMAA 319 no. 1 (2006) 157—176.

[4] J. Carrillo, K. Fellner, Long-time Asymptotics via Entropy Methods for Diffusion Dominated Equations, Asymptotic Analysis 42 no.1-2 (2005) 29—54.

[3] K. Fellner, C. Schmeiser, Burgers-Poisson: a nonlinear dispersive model equation. SIAM J. Appl. Math. 64 no.5 (2004) 1509—1525 (electronic).

[2] K. Fellner, L. Neumann, C. Schmeiser, Convergence to global equilibrium for spatially inhomogeneous kinetic models of non-micro-reversible processes, Monatsh. Math. 141 no. 4 (2004) 289—299.

[1] 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.

[PhD-thesis] K. Fellner, On two models for charged particle systems: The cometary flow equation and the Burgers-Poisson system.

Languages: German (native), English (fluently), French (Pas mal), Spanish (basic).

Music: Bassoonist and former commitee member of the Orchestra of the Vienna University of Technology, woodwind quintetts.

Theatre: Founding member of the „Kleine Bühne Ebensee“.

Sport: Vienna City Marathon 2002, Graz Marathon 2001.

IT: Linux, Windows, Excell, Maple, Matlab, Mathematica, Fortran, C, Maya, ...