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Well-posedness of the 2D surface quasi-geostrophic equation in variable Lebesgue spaces
- Publication Year :
- 2024
-
Abstract
- In this paper, we are mainly concerned with the well-posedness of the dissipative surface quasi-geostrophic equation in the framework of variable Lebesgue spaces. Based on some analytical results developed in the variable Lebesgue spaces and the $L^{p}$-$L^{q}$ decay estimates of the fractional heat kernel, we establish the local existence and regularity of solutions to the 2D dissipative surface quasi-geostrophic equation in the variable Lebesgue space.<br />Comment: 11 pages
- Subjects :
- Mathematics - Analysis of PDEs
35Q35, 76D03
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2404.05127
- Document Type :
- Working Paper