Deterministic Dynamics and Randomness in PDE

  • Andrea R. Nahmod

    University of Massachusetts Amherst, USA
  • Gigliola Staffilani

    Massachusetts Institute of Technology, Cambridge, USA
  • Hendrik Weber

    University of Bath, UK
  • Sijue Wu

    University of Michigan, Ann Arbor, USA

Abstract

Over the last few years there has been spectacular progress in the study of parabolic SPDE, of nonlinear dispersive and wave equations and of probabilistic methods in PDE. An important direction connecting these three fields is the general question of how randomness affects the behavior of solutions to PDE. Research in recent years has been driven by the study of randomness in nonlinear evolution equations with a focus on the question of how to quantify the transport of such randomness under the nonlinear flow.

Cite this article

Andrea R. Nahmod, Gigliola Staffilani, Hendrik Weber, Sijue Wu, Deterministic Dynamics and Randomness in PDE. Oberwolfach Rep. 19 (2022), no. 2, pp. 1431–1499

DOI 10.4171/OWR/2022/26