Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 7
Submit an article Journal homepage
50
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

On a minimal element for a family of bodies producing the same external gravitational field

T. V. Savina Department of Applied Mathematics, Northwestern University, Evanston, IL 60208, USACorrespondence[email protected]
,
B. Yu. Sternin Independent University of Moscow, 119002 Moscow, Russia; Institute of Mathematics, Universität Potsdam, D-14415, Potsdam, Germany
&
V. E. Shatalov Independent University of Moscow, 119002 Moscow, Russia
Pages 649-668 | Received 02 Jan 2004, Accepted 01 Apr 2004, Published online: 19 Aug 2006

Citations (19)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (3)

Giorgio Riccardi. (2022) On the mother bodies of steady polygonal uniform vortices. Part I: numerical experiments. Geophysical & Astrophysical Fluid Dynamics 116:5-6, pages 433-457.
Read now
Henrik Shahgholian & Tomas Sjödin. (2013) Harmonic balls and the two-phase Schwarz function. Complex Variables and Elliptic Equations 58:6, pages 837-852.
Read now
Tomas Sjödin. (2006) Mother bodies of algebraic domains in the complex plane. Complex Variables and Elliptic Equations 51:4, pages 357-369.
Read now

Articles from other publishers (16)

T.V. Savina. (2021) On a two-fluid Hele-Shaw problem with an elliptical interface. Journal of Differential Equations 270, pages 787-808.
Crossref
Björn Gustafsson & Mihai Putinar. (2020) Finite term relations for the exponential orthogonal polynomials. Mathematical Modelling of Natural Phenomena 15, pages 5.
Crossref
Luis Martínez Alonso & Elena Medina. (2018) Gravitational lensing by eigenvalue distributions of random matrix models. Classical and Quantum Gravity 35:9, pages 095009.
Crossref
Tatiana Savina, Lanre Akinyemi & Avital Savin. (2018) On a two-phase Hele-Shaw problem with a time-dependent gap and distributions of sinks and sources. Journal of Physics A: Mathematical and Theoretical 51:4, pages 045501.
Crossref
F. Balogh, T. Grava & D. Merzi. (2016) Orthogonal Polynomials for a Class of Measures with Discrete Rotational Symmetries in the Complex Plane. Constructive Approximation 46:1, pages 109-169.
Crossref
Nhan T. Tran. (2017) Applications of Potential Theoretic Mother Bodies in Electrostatics. American Journal of Computational Mathematics 07:04, pages 481-494.
Crossref
Björn Gustafsson & Mihai PutinarBjörn Gustafsson & Mihai Putinar. 2017. Hyponormal Quantization of Planar Domains. Hyponormal Quantization of Planar Domains 119 124 .
Björn Gustafsson & Mihai PutinarBjörn Gustafsson & Mihai Putinar. 2017. Hyponormal Quantization of Planar Domains. Hyponormal Quantization of Planar Domains 93 117 .
Björn Gustafsson & Mihai PutinarBjörn Gustafsson & Mihai Putinar. 2017. Hyponormal Quantization of Planar Domains. Hyponormal Quantization of Planar Domains 77 92 .
Björn Gustafsson & Mihai PutinarBjörn Gustafsson & Mihai Putinar. 2017. Hyponormal Quantization of Planar Domains. Hyponormal Quantization of Planar Domains 57 75 .
Björn Gustafsson & Mihai PutinarBjörn Gustafsson & Mihai Putinar. 2017. Hyponormal Quantization of Planar Domains. Hyponormal Quantization of Planar Domains 47 56 .
Björn Gustafsson & Mihai PutinarBjörn Gustafsson & Mihai Putinar. 2017. Hyponormal Quantization of Planar Domains. Hyponormal Quantization of Planar Domains 23 45 .
Björn Gustafsson & Mihai PutinarBjörn Gustafsson & Mihai Putinar. 2017. Hyponormal Quantization of Planar Domains. Hyponormal Quantization of Planar Domains 7 21 .
Björn Gustafsson & Mihai PutinarBjörn Gustafsson & Mihai Putinar. 2017. Hyponormal Quantization of Planar Domains. Hyponormal Quantization of Planar Domains 1 5 .
T. V. Savina & A. A. Nepomnyashchy. (2015) The Shape Control of a Growing Air Bubble in a Hele--Shaw Cell. SIAM Journal on Applied Mathematics 75:3, pages 1261-1274.
Crossref
T.V. Savina & A.A. Nepomnyashchy. (2011) A dynamical mother body in a Hele-Shaw problem. Physica D: Nonlinear Phenomena 240:14-15, pages 1156-1163.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.