SUPR
Self-similar singular solutions to the complex Ginzburg-Landau equation
Dnr:

NAISS 2024/22-1038

Type:

NAISS Small Compute

Principal Investigator:

Joel Dahne

Affiliation:

Uppsala universitet

Start Date:

2024-08-20

End Date:

2025-09-01

Primary Classification:

10101: Mathematical Analysis

Webpage:

Allocation

Abstract

The goal of the project is to prove the existence of a certain type of self-similar singular solutions to the complex Ginzburg-Landau equation. Numerical evidence of a branch of solutions was given by Plecháč and Šverák and 2001 https://doi.org/10.1002/cpa.3006. The aim is to verify these using rigorous numerical methods.