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Klemens Fellner
Klemens Fellner
Professor of Mathematics, University of Graz
Verified email at uni-graz.at - Homepage
Title
Cited by
Cited by
Year
Exponential decay toward equilibrium via entropy methods for reaction–diffusion equations
L Desvillettes, K Fellner
Journal of mathematical analysis and applications 319 (1), 157-176, 2006
1652006
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
A Chertock, K Fellner, A Kurganov, A Lorz, PA Markowich
Journal of fluid mechanics 694, 155-190, 2012
1322012
Global existence for quadratic systems of reaction-diffusion
L Desvillettes, K Fellner, M Pierre, J Vovelle
Advanced Nonlinear Studies 7 (3), 491-511, 2007
1312007
Improved duality estimates and applications to reaction-diffusion equations
JA Canizo, L Desvillettes, K Fellner
Communications in Partial Differential Equations 39 (6), 1185-1204, 2014
1152014
Stable stationary states of non-local interaction equations
K Fellner, G Raoul
Mathematical Models and Methods in Applied Sciences 20 (12), 2267-2291, 2010
1012010
Entropy methods for reaction-diffusion equations: slowly growing a-priori bounds
L Desvillettes, K Fellner
Revista Matemática Iberoamericana 24 (2), 407-431, 2008
872008
Trend to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks
L Desvillettes, K Fellner, BQ Tang
SIAM Journal on Mathematical Analysis 49 (4), 2666-2709, 2017
712017
Stability of stationary states of non-local equations with singular interaction potentials
K Fellner, G Raoul
Mathematical and Computer Modelling 53 (7-8), 1436-1450, 2011
682011
A drift–diffusion–reaction model for excitonic photovoltaic bilayers: Asymptotic analysis and a 2D HDG finite element scheme
D Brinkman, K Fellner, PA Markowich, MT Wolfram
Mathematical Models and Methods in Applied Sciences 23 (05), 839-872, 2013
462013
Global classical solutions to quadratic systems with mass control in arbitrary dimensions
K Fellner, J Morgan, BQ Tang
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 37 (2), 281-307, 2020
422020
Explicit exponential convergence to equilibrium for nonlinear reaction–diffusion systems with detailed balance condition
K Fellner, BQ Tang
Nonlinear Analysis 159, 145-180, 2017
422017
A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate
K Fellner, VA Kovtunenko
Applicable Analysis 95 (12), 2661-2682, 2016
412016
Burgers--Poisson: A nonlinear dispersive model equation
C Schmeiser, K Fellner
SIAM Journal on Applied Mathematics 64 (5), 1509-1525, 2004
392004
Convergence to equilibrium of renormalised solutions to nonlinear chemical reaction–diffusion systems
K Fellner, BQ Tang
Zeitschrift für angewandte Mathematik und Physik 69, 1-30, 2018
382018
The entropy dissipation method for spatially inhomogeneous reaction–diffusion-type systems
M Di Francesco, K Fellner, PA Markowich
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2008
372008
Entropy methods for reaction-diffusion systems
L Desvillettes, K Fellner
Conference Publications 2007 (Special), 304-312, 2007
372007
The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks
K Fellner, W Prager, BQ Tang
arXiv preprint arXiv:1504.08221, 2015
362015
Convergence to global equilibrium for spatially inhomogeneous kinetic models of non-micro-reversible processes
K Fellner, L Neumann, C Schmeiser
Monatshefte für Mathematik 141, 289-299, 2004
352004
Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology
H Egger, K Fellner, JF Pietschmann, BQ Tang
Applied Mathematics and Computation 336, 351-367, 2018
302018
Exponential convergence to equilibrium for nonlinear reaction-diffusion systems arising in reversible chemistry
L Desvillettes, K Fellner
System Modeling and Optimization: 26th IFIP TC 7 Conference, CSMO 2013 …, 2014
302014
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