Journal articles on the topic 'Hele-Shaw problem'
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CROWDY, DARREN G. "Hele-Shaw flows and water waves." Journal of Fluid Mechanics 409 (April 25, 2000): 223–42. http://dx.doi.org/10.1017/s0022112099007685.
Kimura, Masato, Daisuke Tagami, and Shigetoshi Yazaki. "Polygonal Hele–Shaw problem with surface tension." Interfaces and Free Boundaries 15, no. 1 (2013): 77–93. http://dx.doi.org/10.4171/ifb/295.
Vasil’ev †, Alexander. "Robin's Modulus in a Hele-Shaw Problem." Complex Variables, Theory and Application: An International Journal 49, no. 7-9 (June 10, 2004): 663–72. http://dx.doi.org/10.1080/02781070410001732188.
Mellet, Antoine, Benoît Perthame, and Fernando Quirós. "A Hele–Shaw problem for tumor growth." Journal of Functional Analysis 273, no. 10 (November 2017): 3061–93. http://dx.doi.org/10.1016/j.jfa.2017.08.009.
Yadav, Dhananjay. "The effect of pulsating throughflow on the onset of magneto convection in a layer of nanofluid confined within a Hele-Shaw cell." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 233, no. 5 (March 13, 2019): 1074–85. http://dx.doi.org/10.1177/0954408919836362.
Saffman, P. G. "Viscous fingering in Hele-Shaw cells." Journal of Fluid Mechanics 173 (December 1986): 73–94. http://dx.doi.org/10.1017/s0022112086001088.
Moog, Mathias, Rainer Keck, and Aivars Zemitis. "SOME NUMERICAL ASPECTS OF THE LEVEL SET METHOD." Mathematical Modelling and Analysis 3, no. 1 (December 15, 1998): 140–51. http://dx.doi.org/10.3846/13926292.1998.9637097.
Rogosin, Sergei, and Tatsyana Vaitekhovich. "Hele-Shaw Model for Melting/Freezing with Two Dendrits." Materials Science Forum 553 (August 2007): 143–51. http://dx.doi.org/10.4028/www.scientific.net/msf.553.143.
Rogosin, S. "Real variable Hele-Shaw problem with kinetic undercooling." Lobachevskii Journal of Mathematics 38, no. 3 (May 2017): 510–19. http://dx.doi.org/10.1134/s1995080217030210.
Jerison, David, and Inwon Kim. "The one-phase Hele-Shaw problem with singularities." Journal of Geometric Analysis 15, no. 4 (December 2005): 641–67. http://dx.doi.org/10.1007/bf02922248.
Rogosin, S. V. "ON CLASSICAL FORMULATION OF HELE‐SHAW MOVING BOUNDARY PROBLEM FOR POWER‐LAW FLUID." Mathematical Modelling and Analysis 7, no. 1 (June 30, 2002): 159–68. http://dx.doi.org/10.3846/13926292.2002.9637188.
Malaikah, K. R. "The Two-Phase Hell-Shaw Flow: Construction of an Exact Solution." International Journal of Applied Mechanics and Engineering 18, no. 1 (March 1, 2013): 249–57. http://dx.doi.org/10.2478/ijame-2013-0016.
HOWISON, SAM D. "A note on the two-phase Hele-Shaw problem." Journal of Fluid Mechanics 409 (April 25, 2000): 243–49. http://dx.doi.org/10.1017/s0022112099007740.
ALEXANDROU, ANDREAS N., and VLADIMIR ENTOV. "On the steady-state advancement of fingers and bubbles in a Hele–Shaw cell filled by a non-Newtonian fluid." European Journal of Applied Mathematics 8, no. 1 (February 1997): 73–87. http://dx.doi.org/10.1017/s0956792596002963.
Morrow, Liam C., Timothy J. Moroney, Michael C. Dallaston, and Scott W. McCue. "A review of one-phase Hele-Shaw flows and a level-set method for nonstandard configurations." ANZIAM Journal 63 (November 16, 2021): 269–307. http://dx.doi.org/10.21914/anziamj.v63.16689.
Li, Jing, Xiaochen Li, and Shijun Liao. "Stability and hysteresis of Faraday waves in Hele-Shaw cells." Journal of Fluid Mechanics 871 (May 24, 2019): 694–716. http://dx.doi.org/10.1017/jfm.2019.335.
Ross, Julius, and David Witt Nyström. "The Hele-Shaw flow and moduli of holomorphic discs." Compositio Mathematica 151, no. 12 (August 18, 2015): 2301–28. http://dx.doi.org/10.1112/s0010437x15007526.
BOOS, W., and A. THESS. "Thermocapillary flow in a Hele-Shaw cell." Journal of Fluid Mechanics 352 (December 10, 1997): 305–30. http://dx.doi.org/10.1017/s0022112097007477.
GRAF, F., E. MEIBURG, and C. HÄRTEL. "Density-driven instabilities of miscible fluids in a Hele-Shaw cell: linear stability analysis of the three-dimensional Stokes equations." Journal of Fluid Mechanics 451 (January 25, 2002): 261–82. http://dx.doi.org/10.1017/s0022112001006516.
Morrow, Liam C., Timothy J. Moroney, and Scott W. McCue. "Numerical investigation of controlling interfacial instabilities in non-standard Hele-Shaw configurations." Journal of Fluid Mechanics 877 (September 2, 2019): 1063–97. http://dx.doi.org/10.1017/jfm.2019.623.
Howison, S. D. "Complex variable methods in Hele–Shaw moving boundary problems." European Journal of Applied Mathematics 3, no. 3 (September 1992): 209–24. http://dx.doi.org/10.1017/s0956792500000802.
KHALID, A. H., N. R. McDONALD, and J. M. VANDEN-BROECK. "Hele-Shaw flow driven by an electric field." European Journal of Applied Mathematics 25, no. 4 (October 10, 2013): 425–47. http://dx.doi.org/10.1017/s0956792513000351.
Quirós, Fernando, and Juan Luis Vázquez. "Asymptotic convergence of the Stefan problem to Hele-Shaw." Transactions of the American Mathematical Society 353, no. 2 (October 23, 2000): 609–34. http://dx.doi.org/10.1090/s0002-9947-00-02739-2.
Savina, T. V., and A. A. Nepomnyashchy. "A dynamical mother body in a Hele-Shaw problem." Physica D: Nonlinear Phenomena 240, no. 14-15 (July 2011): 1156–63. http://dx.doi.org/10.1016/j.physd.2011.04.002.
FOKAS, A. S., and S. TANVEER. "A Hele-Shaw problem and the second Painlevé transcendent." Mathematical Proceedings of the Cambridge Philosophical Society 124, no. 1 (July 1998): 169–91. http://dx.doi.org/10.1017/s0305004197002260.
Lokutsievskiy, Lev, and Vincent Runge. "Optimal Control by Multipoles in the Hele-Shaw Problem." Journal of Mathematical Fluid Mechanics 17, no. 2 (April 7, 2015): 261–77. http://dx.doi.org/10.1007/s00021-015-0206-9.
GAT, A. D., I. FRANKEL, and D. WEIHS. "A higher-order Hele-Shaw approximation with application to gas flows through shallow micro-channels." Journal of Fluid Mechanics 638 (October 14, 2009): 141–60. http://dx.doi.org/10.1017/s002211200999125x.
Urakov, A. R., A. A. Gordeev, and S. S. Porechny. "The solution of problems on an self-similar electrochemical shaping by means of hydrodynamic analogy." Proceedings of the Mavlyutov Institute of Mechanics 6 (2008): 150–55. http://dx.doi.org/10.21662/uim2008.1.021.
Entov, Vladimir M., Pavel I. Etingof, and Dmitry Ya Kleinbock. "Hele–Shaw flows with a free boundary produced by multipoles." European Journal of Applied Mathematics 4, no. 2 (June 1993): 97–120. http://dx.doi.org/10.1017/s0956792500001029.
CAGINALP, GUNDUZ, and XINFU CHEN. "Convergence of the phase field model to its sharp interface limits." European Journal of Applied Mathematics 9, no. 4 (August 1998): 417–45. http://dx.doi.org/10.1017/s0956792598003520.
Bayada, G., M. Boukrouche, and M. El-A. Talibi. "The Transient Lubrication Problem as a Generalized Hele-Shaw Type Problem." Zeitschrift für Analysis und ihre Anwendungen 14, no. 1 (1995): 59–87. http://dx.doi.org/10.4171/zaa/663.
Morris, S. J. S. "Stability of thermoviscous Hele-Shaw flow." Journal of Fluid Mechanics 308 (February 10, 1996): 111–28. http://dx.doi.org/10.1017/s0022112096001413.
CURT, PAULA. "On some invariant geometric properties in Hele-Shaw flows with small surface tension." Carpathian Journal of Mathematics 31, no. 1 (2015): 53–60. http://dx.doi.org/10.37193/cjm.2015.01.06.
BALSA, THOMAS F. "Secondary flow in a Hele-Shaw cell." Journal of Fluid Mechanics 372 (October 10, 1998): 25–44. http://dx.doi.org/10.1017/s0022112098002171.
ALEXANDROU, A. N., V. M. ENTOV, S. S. KOLGANOV, and N. V. KOLGANOVA. "On bubble rising in a Hele–Shaw cell filled with a non-Newtonian fluid." European Journal of Applied Mathematics 15, no. 3 (June 2004): 315–27. http://dx.doi.org/10.1017/s0956792504005509.
Hwang, Hyung Ju, Youngmin Oh, and Marco Antonio Fontelos. "The vanishing surface tension limit for the Hele-Shaw problem." Discrete and Continuous Dynamical Systems - Series B 21, no. 10 (November 2016): 3479–514. http://dx.doi.org/10.3934/dcdsb.2016108.
Kim, Inwon. "Long time regularity of solutions of the Hele–Shaw problem." Nonlinear Analysis: Theory, Methods & Applications 64, no. 12 (June 2006): 2817–31. http://dx.doi.org/10.1016/j.na.2005.09.021.
Crowdy, D. G. "Exact solutions to the unsteady two-phase Hele-Shaw problem." Quarterly Journal of Mechanics and Applied Mathematics 59, no. 4 (October 20, 2006): 475–85. http://dx.doi.org/10.1093/qjmam/hbl012.
Loutsenko, Igor. "The Variable Coefficient Hele-Shaw Problem, Integrability and Quadrature Identities." Communications in Mathematical Physics 268, no. 2 (September 8, 2006): 465–79. http://dx.doi.org/10.1007/s00220-006-0099-9.
Constantin, P., and M. Pugh. "Global solutions for small data to the Hele-Shaw problem." Nonlinearity 6, no. 3 (May 1, 1993): 393–415. http://dx.doi.org/10.1088/0951-7715/6/3/004.
Požár, Norbert. "Homogenization of the Hele-Shaw Problem in Periodic Spatiotemporal Media." Archive for Rational Mechanics and Analysis 217, no. 1 (December 16, 2014): 155–230. http://dx.doi.org/10.1007/s00205-014-0831-0.
Chen, Xinfu. "The Hele-Shaw problem and area-preserving curve-shortening motions." Archive for Rational Mechanics and Analysis 123, no. 2 (1993): 117–51. http://dx.doi.org/10.1007/bf00695274.
RICHARDSON, S. "Plane Stokes flows with time-dependent free boundaries in which the fluid occupies a doubly-connected region." European Journal of Applied Mathematics 11, no. 3 (June 2000): 249–69. http://dx.doi.org/10.1017/s0956792500004149.
Wilson, S. D. R. "The Taylor–Saffman problem for a non-Newtonian liquid." Journal of Fluid Mechanics 220 (November 1990): 413–25. http://dx.doi.org/10.1017/s0022112090003329.
Logvinov, Oleg A. "Viscous fingering in poorly miscible power-law fluids." Physics of Fluids 34, no. 6 (June 2022): 063105. http://dx.doi.org/10.1063/5.0088487.
Tryggvason, Grétar, and Hassan Aref. "Finger-interaction mechanisms in stratified Hele-Shaw flow." Journal of Fluid Mechanics 154 (May 1985): 287–301. http://dx.doi.org/10.1017/s0022112085001537.
Deckelnick, Klaus, and Charles M. Elliott. "Local and global existence results for anisotropic Hele–Shaw flows." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 129, no. 2 (1999): 265–94. http://dx.doi.org/10.1017/s0308210500021351.
Bazaliy, B. V., and N. Vasylyeva. "The Two-Phase Hele-Shaw Problem with a Nonregular Initial Interface and Without Surface Tension." Zurnal matematiceskoj fiziki, analiza, geometrii 10, no. 1 (March 25, 2014): 3–43. http://dx.doi.org/10.15407/mag10.01.003.
CUMMINGS, L. J., and J. R. KING. "Hele–Shaw flow with a point sink: generic solution breakdown." European Journal of Applied Mathematics 15, no. 1 (February 2004): 1–37. http://dx.doi.org/10.1017/s095679250400539x.
CENICEROS, HECTOR D., and THOMAS Y. HOU. "The singular perturbation of surface tension in Hele-Shaw flows." Journal of Fluid Mechanics 409 (April 25, 2000): 251–72. http://dx.doi.org/10.1017/s0022112099007703.