Hypocoercivity in Hilbert Spaces

Nigsch, Eduard; Achleitner, Franz; Arnold, Anton; Mehrmann, Volker

Record link:

http://hdl.handle.net/20.500.12708/189018

Title:

Citation:

Nigsch, E., Achleitner, F., Arnold, A., & Mehrmann, V. (2023). Hypocoercivity in Hilbert Spaces. In ÖMG-Tagung 2023 : Book of Abstracts (pp. 75–75).

Publication Type:

Inproceedings - Abstract Book Contribution

Konferenzbeitrag - Abstract Book Contribution

Language:

English

Authors:

Nigsch, Eduard
Achleitner, Franz
Arnold, Anton
Mehrmann, Volker

Organisational Unit:

E101-01-1 - Forschungsgruppe Mathematische Analysis

Published in:

ÖMG-Tagung 2023 : Book of Abstracts

Date (published):

18-Sep-2023

Event name:

ÖMG Tagung 2023 : Meeting of the Austrian Mathematical Society

Event date:

18-Sep-2023 - 22-Sep-2023

Event place:

Graz, Austria

Number of Pages:

Keywords:

hypocoercivity (index); dissipative system; evolution equation; decay rate; staircase form

Abstract:

The concept of hypocoercivity for linear evolution equations with dissipation is discussed and equivalent characterizations that were developed for the finite-dimensional case are extended to separable Hilbert spaces. Using the concept of a hypocoercivity index, quantitative estimates on the short-time and long-time decay behavior of a hypocoercive system are derived. As a useful tool for analyzing the structural properties, an infinite-dimensional staircase form is also derived. The results are applied to the Lorentz kinetic equation.

Research Areas:

Fundamental Mathematics Research: 100%

Science Branch:

1010 - Mathematik: 100%

Appears in Collections:

Conference Paper

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