Turing conditions for pattern forming systems on evolving manifolds
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-021-01552-y
Abstract: The study of pattern-forming instabilities in reaction–diffusion systems on growing or otherwise time-dependent domains arises in a variety of settings, including applications in developmental biology, spatial ecology, and experimental chemistry. Analyzing such instabilities is complicated,… read more here.
Keywords: forming systems; pattern forming; time; biology ... See more keywords
Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinearity"
DOI: 10.1088/1361-6544/ac355b
Abstract: We consider pattern-forming fronts in the complex Ginzburg–Landau equation with a traveling spatial heterogeneity which destabilises, or quenches, the trivial ground state while progressing through the domain. We consider the regime where the heterogeneity propagates… read more here.
Keywords: complex ginzburg; forming fronts; pattern forming; equation ... See more keywords
Front propagation in weakly subcritical pattern-forming systems.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.032208
Abstract: The speed and stability of fronts near a weakly subcritical steady-state bifurcation are studied, focusing on the transition between pushed and pulled fronts in the bistable Ginzburg-Landau equation. Exact nonlinear front solutions are constructed and… read more here.
Keywords: forming systems; pattern forming; propagation weakly; front propagation ... See more keywords