Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion Equation

M Belluzi, MC Bortolan, U Castro… - Journal of Dynamics and …, 2024 - Springer
Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion
Equation | Journal of Dynamics and Differential Equations Skip to main content …

On bifurcation from infinity: a compactification approach

JM Arrieta, J Fernandes, P Lappicy - arXiv preprint arXiv:2410.22146, 2024 - arxiv.org
We consider a scalar parabolic partial differential equation on the interval with nonlinear
boundary conditions that are asymptotically sublinear. As the parameter crosses critical …

[PDF][PDF] Comprehensive description of solutions to semilinear sectorial equations: an overview

R Czaja, T Dlotko - Nonlinear Dyn. Syst. Theory, 2022 - e-ndst.kiev.ua
Description of all possible types of behavior, or evolution, of solutions to a semilinear
sectorial equation is given. The phase space is divided into separate regions containing …

Einstein's constraints: a dynamical approach

P Lappicy - 2017 - refubium.fu-berlin.de
Die Einsteinschen Zwangsgleichungen charakterisieren die Menge der Anfangsdaten der
Einsteinschen Evolutionsgleichungen. Diese beschreiben, wie sich der Raum innerhalb der …

Blow-up in complex time

H Stuke - 2017 - refubium.fu-berlin.de
Skalare partielle reaktions-diffusions Differentialgleichungen (PDE) weisen das Phänomen
des\enquote {blow-ups} auf. Eine Lösung\enquote {blows-up} in endlicher Zeit, falls sie …

Global Dynamics, Blow-Up, and Bianchi Cosmology

N Ben-Gal, B Brehm, J Buchner, J Hell… - arXiv preprint arXiv …, 2016 - arxiv.org
Many central problems in geometry, topology, and mathematical physics lead to questions
concerning the long-time dynamics of solutions to ordinary and partial differential equations …

Singularities and long-time behavior in nonlinear evolution equations and general relativity

K Ecker, B Fiedler - Space–Time–Matter: Analytic and Geometric …, 2018 - degruyter.com
Many central problems in geometry, topology and mathematical physics reduce to questions
regarding the behavior of solutions of nonlinear evolution equations. Examples are …