- Title Information
- Title
- Small surface tension, infinite time, and light electrons: three results on the asymptotic analysis of PDEs
- Type of Resource (primo)
- dissertations
- Name:
Personal
- Name Part
- Flynn, Patrick
- Role
- Role Term:
Text
- creator
- Name:
Personal
- Name Part
- Menon, Govind
- Role
- Role Term:
Text
- Reader
- Name:
Personal
- Name Part
- Pausader, Benoit
- Role
- Role Term:
Text
- Advisor
- Name:
Personal
- Name Part
- Gomez Serrano, Javier
- Role
- Role Term:
Text
- Reader
- Name:
Corporate
- Name Part
- Brown University. Department of Applied Mathematics
- Role
- Role Term:
Text
- sponsor
- Origin Information
- Copyright Date
- 2023
- Physical Description
- Extent
- ix, 279 p.
- digitalOrigin
- born digital
- Note:
thesis
- Thesis (Ph. D.)--Brown University, 2023
- Genre (aat)
- theses
- 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.
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/00893484")
- Topic
- Differential equations, Partial
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/00928067")
- Topic
- Fluids
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/00951490")
- Topic
- Harmonic analysis
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/00987634")
- Topic
- Kinetic theory of gases
- Language
- Language Term (ISO639-2B)
- English
- Record Information
- Record Content Source (marcorg)
- RPB
- Record Creation Date
(encoding="iso8601")
- 20230602