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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 147, Number 1, Pages 64–72
DOI: https://doi.org/10.4213/tmf2023 (Mi tmf2023) 		 
This article is cited in 9 scientific papers (total in 9 papers)

One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid

A. V. Yurova, A. A. Yurovab

a Immanuel Kant State University of Russia
b Kaliningrad State University
Full-text PDF (224 kB) _Citations (9)
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DOI: https://doi.org/10.4213/tmf2023
Abstract: We propose a simple algebraic method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid. The problem reduces to consecutively solving three linear partial differential equations for a nonviscous fluid and to solving three linear partial differential equations and one first-order ordinary differential equation for a viscous fluid.
Keywords: two-dimensional incompressible fluid, exact solutions.
Received: 12.07.2005
Revised: 21.10.2005
English version:
Theoretical and Mathematical Physics, 2006, Volume 147, Issue 1, Pages 501–508
DOI: https://doi.org/10.1007/s11232-006-0057-x
Bibliographic databases:
Language: Russian
Citation: A. V. Yurov, A. A. Yurova, “One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid”, TMF, 147:1 (2006), 64–72; Theoret. and Math. Phys., 147:1 (2006), 501–508
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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