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Academic literature on the topic 'FREE-FREE BOUNDARY'

Author: Grafiati
Published: 11 September 2023

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Journal articles on the topic "FREE-FREE BOUNDARY"

1

Chistyakov, A. E., E. A. Protsenko, and E. F. Timofeeva. "Mathematical modeling of oscillatory processes with a free boundary." COMPUTATIONAL MATHEMATICS AND INFORMATION TECHNOLOGIES 1, no. 1 (2017): 102–12. http://dx.doi.org/10.23947/2587-8999-2017-1-1-102-112.

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Gurevich, Alex. "Boundary regularity for free boundary problems." Communications on Pure and Applied Mathematics 52, no. 3 (1999): 363–403. http://dx.doi.org/10.1002/(sici)1097-0312(199903)52:3<363::aid-cpa3>3.0.co;2-u.

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3

Jiang, Yingchun, and Qingqing Sun. "Three-Dimensional Biorthogonal Divergence-Free and Curl-Free Wavelets with Free-Slip Boundary." Journal of Applied Mathematics 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/954717.

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This paper deals with the construction of divergence-free and curl-free wavelets on the unit cube, which satisfies the free-slip boundary conditions. First, interval wavelets adapted to our construction are introduced. Then, we provide the biorthogonal divergence-free and curl-free wavelets with free-slip boundary and simple structure, based on the characterization of corresponding spaces. Moreover, the bases are also stable.
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SUSSMAN, MARK, and PETER SMEREKA. "Axisymmetric free boundary problems." Journal of Fluid Mechanics 341 (June 25, 1997): 269–94. http://dx.doi.org/10.1017/s0022112097005570.

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We present a number of three-dimensional axisymmetric free boundary problems for two immiscible fluids, such as air and water. A level set method is used where the interface is the zero level set of a continuous function while the two fluids are solutions of the incompressible Navier–Stokes equation. We examine the rise and distortion of an initially spherical bubble into cap bubbles and toroidal bubbles. Steady solutions for gas bubbles rising in a liquid are computed, with favourable comparisons to experimental data. We also study the inviscid limit and compare our results with a boundary integral method. The problems of an air bubble bursting at a free surface and a liquid drop hitting a free surface are also computed.
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Dovì, V. G., H. Preisig, and O. Paladino. "Inverse free boundary problems." Applied Mathematics Letters 2, no. 1 (1989): 91–96. http://dx.doi.org/10.1016/0893-9659(89)90125-0.

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6

Lortz, D. "Plane free-boundary equilibria." Plasma Physics and Controlled Fusion 33, no. 1 (1991): 77–89. http://dx.doi.org/10.1088/0741-3335/33/1/005.

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7

Shargorodsky, E., and J. F. Toland. "Bernoulli free-boundary problems." Memoirs of the American Mathematical Society 196, no. 914 (2008): 0. http://dx.doi.org/10.1090/memo/0914.

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8

Park, Sung-Ho, and Juncheol Pyo. "Free boundary minimal hypersurfaces with spherical boundary." Mathematische Nachrichten 290, no. 5-6 (2016): 885–89. http://dx.doi.org/10.1002/mana.201500399.

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9

Edelen, Nick. "The free-boundary Brakke flow." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 758 (2020): 95–137. http://dx.doi.org/10.1515/crelle-2017-0053.

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AbstractWe develop the notion of Brakke flow with free-boundary in a barrier surface. Unlike the classical free-boundary mean curvature flow, the free-boundary Brakke flow must “pop” upon tangential contact with the barrier. We prove a compactness theorem for free-boundary Brakke flows, define a Gaussian monotonicity formula valid at all points, and use this to adapt the local regularity theorem of White [23] to the free-boundary setting. Using Ilmanen’s elliptic regularization procedure [10], we prove existence of free-boundary Brakke flows.
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10

MATSUSHITA, Osami. "Modelling; Free from boundary condition." Journal of the Japan Society for Precision Engineering 54, no. 5 (1988): 848–52. http://dx.doi.org/10.2493/jjspe.54.848.

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