Strong ergodic properties of a first-order partial differential equation
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Publication:1120721
DOI10.1016/0022-247X(88)90361-7zbMath0673.35012WikidataQ115364523 ScholiaQ115364523MaRDI QIDQ1120721
Publication date: 1988
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
existencechaosinitial value problemsemiflowexact invariant measureexistence of turbulent trajectoriesfirst order nonlinear PDEstrong ergodic properties
Asymptotic behavior of solutions to PDEs (35B40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Initial value problems for nonlinear first-order PDEs (35F25) Ergodic theory (37A99)
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Cites Work
- Turbulent solutions of a first order partial differential equation
- Ergodicity and exactness of the shift on C[0,\(\infty)\) and the semiflow of a first-order partial differential equation
- Interval maps, factors of maps, and chaos
- Stationary functions and their applications to the theory of turbulence. I: Stationary functions
- Stable and chaotic solutions of a first order partial differential equation
- Notes on chaos in the cell population partial differential equation
- Invariant measures for the flow of a first order partial differential equation
- An Ergodic Theorem for Frechet-Valued Random Variables
- Exact endomorphisms of a Lebesgue space
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