Brown University
  1. Top
  2. ...
  3. Theses and Dissertations
  4. bdr:6yzkajnt
Back to Results

Small surface tension, infinite time, and light electrons: three results on the asymptotic analysis of PDEs

Full Metadata

Overview

Year:
2023
Contributor:
Flynn, Patrick (creator)
Menon, Govind (Reader)
Pausader, Benoit (Advisor)
Gomez Serrano, Javier (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Differential equations, Partial
Fluids
Harmonic analysis
Kinetic theory of gases
Extent:
ix, 279 p.

Files

Description

Abstract:
This thesis is an anthology of three works, which each deal with the rigorous justification of a limit of a nonlinear PDE from kinetic theory or fluid mechanics. In the first work, with Huy Nguyen, we derive the low surface tension limit for the Muskat problem. In the second work, with Benoit Pausader, Zhimeng Ouyang, and Klaus Widmayer, we construct modified scattering operators for the Vlasov-Poisson system. In the third work, with Yan Guo, we give a rigorous derivation of the massless electron limit for the Vlasov-Poisson-Landau system.
Notes:
Thesis (Ph. D.)--Brown University, 2023

Content

Citation

Flynn, Patrick, "Small surface tension, infinite time, and light electrons: three results on the asymptotic analysis of PDEs" (2023). Applied Mathematics Theses and Dissertations. Brown Digital Repository. Brown University Library. https://repository.library.brown.edu/studio/item/bdr:6yzkajnt/

Relations

Collection: