Global Regularity for Euler Vortex Patch in Bounded Smooth Domains

Simple item page
dc.contributor.advisorKiselev, Alexanderen_US
dc.contributor.committeeMemberHardt, Roberten_US
dc.creatorLi, Chaoen_US
dc.date.accessioned2019-05-17T15:11:02Zen_US
dc.date.available2019-05-17T15:11:02Zen_US
dc.date.created2018-05en_US
dc.date.issued2018-04-18en_US
dc.date.submittedMay 2018en_US
dc.date.updated2019-05-17T15:11:03Zen_US
dc.description.abstractIt is well known that the Euler vortex patch in two dimensional plane will remain regular if it is regular enough initially. In bounded domains, the regularity theory for patch solutions is less complete. In this thesis, I study the Euler vortex patch in a general smooth bounded domain. I prove global in time regularity by providing the upper bound of the growth on curvature of the patch boundary. For a special symmetric scenario, I construct an example of double exponential curvature growth, showing that our upper bound is qualitatively sharp.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationLi, Chao. "Global Regularity for Euler Vortex Patch in Bounded Smooth Domains." (2018) Diss., Rice University. <a href="https://hdl.handle.net/1911/105752">https://hdl.handle.net/1911/105752</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/105752en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectEuler vortex patchen_US
dc.subjectglobal regularityen_US
dc.subjectbounded smooth domainen_US
dc.titleGlobal Regularity for Euler Vortex Patch in Bounded Smooth Domainsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.majorPartial Differential Equationsen_US
thesis.degree.nameDoctor of Philosophyen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
LI-DOCUMENT-2018.pdf
Size:
4.3 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 2 of 2
No Thumbnail Available
Name:
PROQUEST_LICENSE.txt
Size:
5.84 KB
Format:
Plain Text
Description:
Download
No Thumbnail Available
Name:
LICENSE.txt
Size:
2.6 KB
Format:
Plain Text
Description:
Download
Collections
Rice University Theses and Dissertations