Self-similar singular solutions to the complex Ginzburg-Landau equation

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Dnr:

NAISS 2024/22-13

Type:

NAISS Small Compute

Principal Investigator:

Joel Dahne

Affiliation:

Uppsala universitet

Start Date:

2024-01-08

End Date:

2024-08-01

Primary Classification:

10101: Mathematical Analysis

Webpage:

Allocation

Dardel at PDC: 10 x 1000 core-h/month

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.