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Vortex patch problem for steady lake equation
Cao, Daomin; Qin, Guolin; Zou, Changjun1
AbstractWe study the vortex patch problem for the steady lake equation in a bounded domain and construct three different kinds of solutions where the vorticity concentrates in the domain or near the boundary. Our approach is based on the Lyapunov-Schmidt reduction, which transforms the construction into a problem of seeking critical points for a function related to the kinetic energy. The method in this paper has a wide applicability and can be used to deal with general elliptic equations in divergence form with Heaviside nonlinearity. Published under an exclusive license by AIP Publishing.
Indexed BySCI
Funding ProjectNNSF of China[11831009]
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000812570600003
PublisherAIP Publishing
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Document Type期刊论文
Corresponding AuthorZou, Changjun
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Cao, Daomin,Qin, Guolin,Zou, Changjun. Vortex patch problem for steady lake equation[J]. JOURNAL OF MATHEMATICAL PHYSICS,2022,63(6):25.
APA Cao, Daomin,Qin, Guolin,&Zou, Changjun.(2022).Vortex patch problem for steady lake equation.JOURNAL OF MATHEMATICAL PHYSICS,63(6),25.
MLA Cao, Daomin,et al."Vortex patch problem for steady lake equation".JOURNAL OF MATHEMATICAL PHYSICS 63.6(2022):25.
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