Regularity of Solution Maps of the Generalized Surface Quasi-Geostrophic Equations

In Chapter 1, we present some preliminaries. In Chapter 2 we drive generalized SQG equations as Euler-Arnold equations. Chapter 3, we establish analyticity of the exponential map associated to the generalized SQG equations. In Chapter 4, we establish that the Eulerian data-to-solution map for the generalized SQG equations fails to be uniformly continuous in Sobolev spaces.

Author dc:creator

• Truong X. Vu (22483021)

• Mathematics

Statement dc:rights

• In Copyright
• Open Access after 2027-09-01

DOI dc:identifier

https://doi.org/10.25417/uic.30426316.v1

OAI identifier oai:identifier

oai:figshare.com:article/30426316