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

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...

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Bibliographic Details
Main Authors: Yang Chen, Yunhu Wang, Manwai Yuen
Format: Article
Language:English
Published: Elsevier 2022-06-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818122000407