50 citations · 172 across the 48 of their papers we have counts for
5 papers · 2 filters
The Principle of Linearized Stability in Age-Structured Diffusive Populations
Christoph Walker, Josef Zehetbauer
The principle of linearized stability is established for age-structured diffusive populations incorporating nonlinear death and birth processes. More precisely, asymptotic exponent…
Well-posedness of the coagulation-fragmentation equation with size diffusion
Philippe Laurençot, Christoph Walker
Local and global well-posedness of the coagulation-fragmentation equation with size diffusion are investigated. Owing to the semilinear structure of the equation, a semigroup appro…
Properties of the Semigroup in Associated with Age-Structured Diffusive Populations
Christoph Walker
The linear semigroup associated with age-structured diffusive populations is investigated in the -setting. A complete determination of its generator is given along with detail…
The fragmentation equation with size diffusion: Small and large size behavior of stationary solutions
Philippe Laurençot, Christoph Walker
The small and large size behavior of stationary solutions to the fragmentation equation with size diffusion is investigated. It is shown that these solutions behave like stretched…
The fragmentation equation with size diffusion: Well-posedness and long-term behavior
Philippe Laurençot, Christoph Walker
The dynamics of the fragmentation equation with size diffusion is investigated when the size ranges in (0, ). The associated linear operator involves three terms and can be…