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

Autor: Yang Chen, Yunhu Wang, Manwai Yuen
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Partial Differential Equations in Applied Mathematics, Vol 5, Iss , Pp 100336- (2022)
Druh dokumentu: article
ISSN: 2666-8181
DOI: 10.1016/j.padiff.2022.100336
Popis: 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.
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