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 | 165 | 2006 |
Global existence for quadratic systems of reaction-diffusion L Desvillettes, K Fellner, M Pierre, J Vovelle Advanced Nonlinear Studies 7 (3), 491-511, 2007 | 131 | 2007 |
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 | 129 | 2012 |
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 | 112 | 2014 |
Stable stationary states of non-local interaction equations K Fellner, G Raoul Mathematical Models and Methods in Applied Sciences 20 (12), 2267-2291, 2010 | 100 | 2010 |
Entropy methods for reaction-diffusion equations: slowly growing a-priori bounds L Desvillettes, K Fellner Revista Matemática Iberoamericana 24 (2), 407-431, 2008 | 86 | 2008 |
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 | 70 | 2017 |
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 | 68 | 2011 |
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 | 45 | 2013 |
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 | 41 | 2020 |
Explicit exponential convergence to equilibrium for nonlinear reaction–diffusion systems with detailed balance condition K Fellner, BQ Tang Nonlinear Analysis 159, 145-180, 2017 | 41 | 2017 |
A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate K Fellner, VA Kovtunenko Applicable Analysis 95 (12), 2661-2682, 2016 | 41 | 2016 |
Burgers--Poisson: A nonlinear dispersive model equation C Schmeiser, K Fellner SIAM Journal on Applied Mathematics 64 (5), 1509-1525, 2004 | 39 | 2004 |
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 | 38 | 2018 |
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 | 37 | 2008 |
Entropy methods for reaction-diffusion systems L Desvillettes, K Fellner Conference Publications 2007 (Special), 304-312, 2007 | 37 | 2007 |
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 | 36 | 2015 |
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 | 35 | 2004 |
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 | 30 | 2014 |
Regularity and mass conservation for discrete coagulation–fragmentation equations with diffusion JA Cañizo, L Desvillettes, K Fellner Annales de l'IHP Analyse non linéaire 27 (2), 639-654, 2010 | 30 | 2010 |