Harmonic solutions and weak solutions of two-dimensional rotational incompressible Euler equations

doi:10.1016/j.padiff.2022.100336

UM > Faculty of Science and Technology > DEPARTMENT OF MATHEMATICS

Residential College	false
Status	已發表Published
	Harmonic solutions and weak solutions of two-dimensional rotational incompressible Euler equations
	Chen, Yang1 ; Wang, Yunhu 2; Yuen, Manwai 3
	2022-06
Source Publication	Partial Differential Equations in Applied Mathematics
ISSN	2666-8181
Volume	5 Pages:100336
Abstract	In this paper, two families of exact solutions to two-dimensional incompressible rotational Euler equations are constructed by connecting the Euler equations with the Laplace equation via a stream function. The constituent solutions in the first family are smooth, orthogonal, and conjugate harmonic solutions, while their constituent velocities are nonlinear with respect to the spatial variables. The second family are weak solutions in the distribution sense.
Keyword	Euler Equations Laplace Equation Weak Solutions
DOI	10.1016/j.padiff.2022.100336
URL	View the original
Language	英語English
Scopus ID	2-s2.0-85126881307
Fulltext Access	View Full-Text via DOI View Full-Text via Scopus
Citation statistics
Document Type	Journal article
Collection	DEPARTMENT OF MATHEMATICS
Corresponding Author	Yuen, Manwai
Affiliation	1.Department of Mathematics, University of Macau, Macao 2.College of Art and Sciences, Shanghai Maritime University, Shanghai, 201306, China 3.Department of Mathematics and Information Technology, The Education University of Hong Kong, 10 Po Ling Road, Tai Po, New Territories, Hong Kong
First Author Affilication	University of Macau
Recommended Citation GB/T 7714	Chen, Yang,Wang, Yunhu,Yuen, Manwai. Harmonic solutions and weak solutions of two-dimensional rotational incompressible Euler equations[J]. Partial Differential Equations in Applied Mathematics, 2022, 5, 100336.
APA	Chen, Yang., Wang, Yunhu., & Yuen, Manwai (2022). Harmonic solutions and weak solutions of two-dimensional rotational incompressible Euler equations. Partial Differential Equations in Applied Mathematics, 5, 100336.
MLA	Chen, Yang,et al."Harmonic solutions and weak solutions of two-dimensional rotational incompressible Euler equations".Partial Differential Equations in Applied Mathematics 5(2022):100336.

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