Transition to blow-up in a reaction–diffusion model with localized spike solutions

DOI10.1017/S0956792517000043zbMath1387.35338MaRDI QIDQ3133611

Vivi Rottschäfer, Michael J. Ward, Justin C. Tzou

Publication date: 5 February 2018

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationfinite-time blow-upnonlocal eigenvalue problemsaddle nodedelayed bifurcation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Existence of homoclinic solutions for nonlinear second-order coupled systems ⋮ Finite-time blow-up and global convergence of solutions to a nonlocal parabolic equation with conserved spatial integral ⋮ The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space ⋮ Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients

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