Ergodic and Chaotic Properties of the Heat Equation
Abstract We consider a semiflow generated by the heat equation on the half-line with zero Neumann boundary condition. If the initial functions are from some weighted space X , then we prove that there exists an invariant mixing measure and X is the topological support of this measure. This result implies chaotic properties of the semiflow.
Authors
- Ryszard Rudnicki (ORCID: https://orcid.org/0000-0002-3042-5662)
Institutions
- Polish Academy of Sciences (PL)
Publication Details
- Journal
- Journal of Dynamics and Differential Equations
- Published
- 2024-10-26
- DOI
- https://doi.org/10.1007/s10884-024-10395-2
- Citations
- 1
- Primary Topic
- Advanced Thermodynamics and Statistical Mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.28