79 citations · 160 across the 23 of their papers we have counts for
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Global classical solutions for mass-conserving, (super)-quadratic reaction-diffusion systems in three and higher space dimensions
Klemens Fellner, Evangelos Latos, Takashi Suzuki
This paper considers quadratic and super-quadratic reaction-diffusion systems for reversible chemistry, for which all species satisfy uniform-in-time a-priori estimates, for…
Smoothness of moments of the solutions of discrete coagulation equations with diffusion
Maxime Breden, Laurent Desvillettes, Klemens Fellner
In this paper, we establish smoothness of moments of the solutions of discrete coagulation-diffusion systems. As key assumptions, we suppose that the coagulation coefficients grow…
Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology
Herbert Egger, Klemens Fellner, Jan-Frederik Pietschmann +1
We consider the numerical solution of coupled volume-surface reaction-diffusion systems having a detailed balance equilibrium. Based on the conservation of mass, an appropriate qua…
The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks
Klemens Fellner, Wolfgang Prager, Bao Q. Tang
In this paper, the applicability of the entropy method for the trend towards equilibrium for reaction-diffusion systems arising from first order chemical reaction networks is studi…
Exponential decay towards equilibrium and global classical solutions for nonlinear reaction-diffusion systems
Klemens Fellner, El-Haj Laamri
We consider a system of reaction-diffusion equations describing the reversible reaction of two species forming a third species and vice ver…