4 papers
Global existence and boundedness for a degenerate chemotaxis system with indirect signal production via minimizing movement schemes
Tatsuya Hosono, Philippe Lauren{\cc}ot
Global existence and boundedness of weak solutions for a fully parabolic degenerate chemotaxis system with indirect signal production are proved for any initial data in the subcrit…
Convergence to self-similarity for a degenerate parabolic equation with fast-growing spatially-dependent absorption
Razvan Gabriel Iagar, Philippe Laurençot
The large time behavior of non-negative solutions to the absorption-diffusion equation \textsubscr{t} u = u\textsuperscript{m} - |x|\textsuperscript{ }u\textsupe…
Dynamics of the reversible Gray-Scott model and convergence to its irreversible limit
Philippe Laurençot, Christoph Walker
Well-posedness of a reversible variant of the Gray-Scott model is shown, along with the convergence of each trajectory to one of the two spatially homogeneous steady states. The pr…
A Hardy-H{é}non equation in with sublinear absorption
Razvan Gabriel Iagar, Philippe Laurençot
Consider , and $\max\{-2,-N\}\<Ï\<0$. The Hardy-Hénon equation with sublinear absorption\begin(equation*}- Îv(x) - |x|^Ïv(x) + \frac{1}{m-1} v^{1/m}(x)= 0, \q…