Analysis of overdetermined system that describes the special class of two-dimensional motion of an ideal fluid

2016/08/29 by Yu. V. Shan’ko, Yury Shan'ko, Shan'ko, Yury
Computer Science · Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Aquatic and Environmental Studies #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1608.08186

20 pages, in Russian

arxiv created 2016/08/29 · openalex publication_date 2016/08/29 · arxiv updated 2016/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper considers the overdetermined system of PDE that describes a special type of two-dimensional motion of an ideal fluid. The analysis of the compatibility of the system was performed. All solutions of the system are obtained in a closed form.

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