Invariant Measures for nonlinear PDE
Introductory Workshop: Randomness and long time dynamics in nonlinear evolution differential equations August 24, 2015 - August 28, 2015
Location: MSRI: Simons Auditorium
periodic dispersive PDE
invariant Gibbs measure
almost sure well-posedness
28C10 - Set functions and measures on topological groups or semigroups, Haar measures, invariant measures [See also 22Axx, 43A05]
37A35 - Entropy and other invariants, isomorphism, classification
37-XX - Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
37Lxx - Infinite-dimensional dissipative dynamical systems [See also 35Bxx, 35Qxx]
35Q55 - NLS-like equations (nonlinear Schrödinger) [See also 37K10]
49K40 - Sensitivity, stability, well-posedness [See also 90C31]
In these lectures we will go over the construction and invariance of Gibbs and other weighted Wiener measures associated to certain nonlinear PDE. If time permits we will discuss applications, further properties and open questions
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