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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 1, Pages 41–52
DOI: https://doi.org/10.17377/sibjim.2017.20.105 (Mi sjim947) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Dependence on the domain of solutions to a boundary value problem for the equations of mixtures of compressible viscous fluids

A. A. Zhalnina, N. A. Kucher

Kemerovo State University, Krasnaya str., 6, 650043 Kemerovo
Full-text PDF (260 kB) Citations (2)
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DOI: https://doi.org/10.17377/sibjim.2017.20.105
Abstract: We study the dependence of solutions to an inhomogeneous boundary value problem for the equations of mixtures of compressible viscous fluids on the shape of the flow domain. The results can be used to prove the differentiability of the solutions and functionals of the solutions (for example, the drag functional) with respect to the parameter defining the shape variations of an obstacle in the flow.
Keywords: mixture of viscous compressible fluids, flow around an obstacle, transposed problem, boundary value problem.
Received: 09.02.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 1, Pages 145–155
DOI: https://doi.org/10.1134/S1990478917010161
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. A. Zhalnina, N. A. Kucher, “Dependence on the domain of solutions to a boundary value problem for the equations of mixtures of compressible viscous fluids”, Sib. Zh. Ind. Mat., 20:1 (2017), 41–52; J. Appl. Industr. Math., 11:1 (2017), 145–155
Citation in format AMSBIB
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\paper Dependence on the domain of solutions to a~boundary value problem for the equations of mixtures of compressible viscous fluids
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\jour J. Appl. Industr. Math.
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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