Mel’nyk, Taras; Vasylyeva, Nataliya Asymptotic analysis of a contact Hele-Shaw problem in a thin domain. (English) Zbl 1450.35300 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 5, Paper No. 48, 37 p. (2020). MSC: 35R35 35J25 35B40 76D27 76A20 PDF BibTeX XML Cite \textit{T. Mel'nyk} and \textit{N. Vasylyeva}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 5, Paper No. 48, 37 p. (2020; Zbl 1450.35300) Full Text: DOI
Antipov, Y. A. Method of Riemann surfaces for an inverse antiplane problem in an \(n\)-connected domain. (English) Zbl 07161915 Complex Var. Elliptic Equ. 65, No. 3, 455-480 (2020). MSC: 74B05 74G75 74E05 74S70 PDF BibTeX XML Cite \textit{Y. A. Antipov}, Complex Var. Elliptic Equ. 65, No. 3, 455--480 (2020; Zbl 07161915) Full Text: DOI
Giorgini, Andrea Well-posedness of a diffuse interface model for Hele-Shaw flows. (English) Zbl 1435.35297 J. Math. Fluid Mech. 22, No. 1, Paper No. 5, 36 p. (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q35 35D35 35K61 76D27 76S05 76D05 35B65 35D30 35A01 35A02 76D45 PDF BibTeX XML Cite \textit{A. Giorgini}, J. Math. Fluid Mech. 22, No. 1, Paper No. 5, 36 p. (2020; Zbl 1435.35297) Full Text: DOI
Lacave, Christophe; Wang, Chao A note on the regularity of the holes for permeability property through a perforated domain for the 2D Euler equations. (English) Zbl 1420.35214 Sci. China, Math. 62, No. 6, 1121-1142 (2019). MSC: 35Q31 76B03 76S05 PDF BibTeX XML Cite \textit{C. Lacave} and \textit{C. Wang}, Sci. China, Math. 62, No. 6, 1121--1142 (2019; Zbl 1420.35214) Full Text: DOI arXiv
Ross, Julius; Nyström, David Witt Applications of the duality between the homogeneous complex Monge-Ampère equation and the Hele-Shaw flow. (Applications de la dualité entre l’équation de Monge-Ampère complexe homogène et le flot de Hele-Shaw.) (English. French summary) Zbl 07067398 Ann. Inst. Fourier 69, No. 1, 1-30 (2019). MSC: 32W20 76D27 PDF BibTeX XML Cite \textit{J. Ross} and \textit{D. W. Nyström}, Ann. Inst. Fourier 69, No. 1, 1--30 (2019; Zbl 07067398) Full Text: DOI
Curt, Paula; Kohr, Mirela Some geometrical properties of free boundaries in the Hele-Shaw flows. (English) Zbl 1426.76135 Appl. Math. Comput. 323, 86-94 (2018). MSC: 76D27 30C55 30C45 35R35 76M40 PDF BibTeX XML Cite \textit{P. Curt} and \textit{M. Kohr}, Appl. Math. Comput. 323, 86--94 (2018; Zbl 1426.76135) Full Text: DOI
Tkachev, Vladimir G. Sharp pointwise gradient estimates for Riesz potentials with a bounded density. (English) Zbl 1409.31002 Anal. Math. Phys. 8, No. 4, 711-730 (2018). Reviewer: Paolo Musolino (Padova) MSC: 31B15 PDF BibTeX XML Cite \textit{V. G. Tkachev}, Anal. Math. Phys. 8, No. 4, 711--730 (2018; Zbl 1409.31002) Full Text: DOI
González Granada, José Rodrigo; Kovtunenko, Victor A. Entropy method for generalized Poisson-Nernst-Planck equations. (English) Zbl 1404.35241 Anal. Math. Phys. 8, No. 4, 603-619 (2018). MSC: 35K55 37B35 35J05 82C31 PDF BibTeX XML Cite \textit{J. R. González Granada} and \textit{V. A. Kovtunenko}, Anal. Math. Phys. 8, No. 4, 603--619 (2018; Zbl 1404.35241) Full Text: DOI
Green, Christopher C.; Lustri, Christopher J.; McCue, Scott W. The effect of surface tension on steadily translating bubbles in an unbounded Hele-Shaw cell. (English) Zbl 1404.76093 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2201, Article ID 20170050, 20 p. (2017). MSC: 76D45 76D27 76T10 PDF BibTeX XML Cite \textit{C. C. Green} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2201, Article ID 20170050, 20 p. (2017; Zbl 1404.76093) Full Text: DOI
Eggers, J.; Suramlishvili, N. Singularity theory of plane curves and its applications. (English) Zbl 1408.35002 Eur. J. Mech., B, Fluids 65, 107-131 (2017). MSC: 35A20 35C06 35C20 58K35 PDF BibTeX XML Cite \textit{J. Eggers} and \textit{N. Suramlishvili}, Eur. J. Mech., B, Fluids 65, 107--131 (2017; Zbl 1408.35002) Full Text: DOI
Kohr, Mirela; Pintea, Cornel On a Hele-Shaw flow problem with free and solid boundary components. (English) Zbl 1379.35244 Complex Anal. Oper. Theory 11, No. 8, 1729-1746 (2017). MSC: 35Q35 30C45 35J25 76D27 35A01 35A02 PDF BibTeX XML Cite \textit{M. Kohr} and \textit{C. Pintea}, Complex Anal. Oper. Theory 11, No. 8, 1729--1746 (2017; Zbl 1379.35244) Full Text: DOI
Rogosin, S. Real variable Hele-Shaw problem with kinetic undercooling. (English) Zbl 1373.35252 Lobachevskii J. Math. 38, No. 3, 510-519 (2017). MSC: 35Q35 76D27 35B40 PDF BibTeX XML Cite \textit{S. Rogosin}, Lobachevskii J. Math. 38, No. 3, 510--519 (2017; Zbl 1373.35252) Full Text: DOI
Elliott, Charles M.; Fritz, Hans On algorithms with good mesh properties for problems with moving boundaries based on the harmonic map heat flow and the deturck trick. (English) Zbl 1416.65324 SMAI J. Comput. Math. 2, 141-176 (2016). MSC: 65M50 65M60 35R01 35R35 35R37 PDF BibTeX XML Cite \textit{C. M. Elliott} and \textit{H. Fritz}, SMAI J. Comput. Math. 2, 141--176 (2016; Zbl 1416.65324) Full Text: DOI arXiv
Kalisch, H.; Mitrovic, D.; Nordbotten, J. M. Rayleigh-Taylor instability of immiscible fluids in porous media. (English) Zbl 1365.76307 Contin. Mech. Thermodyn. 28, No. 3, 721-731 (2016). MSC: 76S05 76T10 PDF BibTeX XML Cite \textit{H. Kalisch} et al., Contin. Mech. Thermodyn. 28, No. 3, 721--731 (2016; Zbl 1365.76307) Full Text: DOI
Hwang, Hyung Ju; Oh, Youngmin; Fontelos, Marco Antonio The vanishing surface tension limit for the Hele-Shaw problem. (English) Zbl 1356.35178 Discrete Contin. Dyn. Syst., Ser. B 21, No. 10, 3479-3514 (2016). MSC: 35Q35 35B20 35B25 76D27 76D45 PDF BibTeX XML Cite \textit{H. J. Hwang} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 10, 3479--3514 (2016; Zbl 1356.35178) Full Text: DOI
Curt, Paula Invariant geometric properties in Hele-Shaw flows. (English) Zbl 1352.30006 Comput. Methods Funct. Theory 16, No. 3, 503-513 (2016). Reviewer: Dmitri V. Prokhorov (Saratov) MSC: 30C45 76D27 PDF BibTeX XML Cite \textit{P. Curt}, Comput. Methods Funct. Theory 16, No. 3, 503--513 (2016; Zbl 1352.30006) Full Text: DOI
Demidov, A. S.; Lohéac, J.-P.; Runge, Vincent Stokes-Leibenson problem for Hele-Shaw flow: a critical set in the space of contours. (English) Zbl 1342.76039 Russ. J. Math. Phys. 23, No. 1, 35-55 (2016). MSC: 76D07 PDF BibTeX XML Cite \textit{A. S. Demidov} et al., Russ. J. Math. Phys. 23, No. 1, 35--55 (2016; Zbl 1342.76039) Full Text: DOI
Peck, D.; Rogosin, S. V.; Wrobel, M.; Mishuris, G. Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles. (English) Zbl 1381.76069 Meccanica 51, No. 5, 1041-1055 (2016). MSC: 76D27 PDF BibTeX XML Cite \textit{D. Peck} et al., Meccanica 51, No. 5, 1041--1055 (2016; Zbl 1381.76069) Full Text: DOI
Lee, Seung-Yeop; Makarov, Nikolai G. Topology of quadrature domains. (English) Zbl 1355.30022 J. Am. Math. Soc. 29, No. 2, 333-369 (2016). Reviewer: Lavi Karp (Karmiel) MSC: 30C99 30E20 30C30 PDF BibTeX XML Cite \textit{S.-Y. Lee} and \textit{N. G. Makarov}, J. Am. Math. Soc. 29, No. 2, 333--369 (2016; Zbl 1355.30022) Full Text: DOI arXiv
Yadav, Dhananjay; Kim, Min Chan Linear and non-linear analyses of Soret-driven buoyancy convection in a vertically orientated Hele-Shaw cell with nanoparticles suspension. (English) Zbl 1390.76661 Comput. Fluids 117, 139-148 (2015). MSC: 76M22 76D27 76M12 65M08 76T20 PDF BibTeX XML Cite \textit{D. Yadav} and \textit{M. C. Kim}, Comput. Fluids 117, 139--148 (2015; Zbl 1390.76661) Full Text: DOI
Ross, Julius; Nyström, David Witt Harmonic discs of solutions to the complex homogeneous Monge-Ampère equation. (English) Zbl 1333.32041 Publ. Math., Inst. Hautes Étud. Sci. 122, 315-335 (2015). Reviewer: Slawomir Kołodziej (Kraków) MSC: 32W20 PDF BibTeX XML Cite \textit{J. Ross} and \textit{D. W. Nyström}, Publ. Math., Inst. Hautes Étud. Sci. 122, 315--335 (2015; Zbl 1333.32041) Full Text: DOI
Khalid, A. H.; McDonald, N. R.; Vanden-Broeck, J.-M. On the motion of unsteady translating bubbles in an unbounded Hele-Shaw cell. (English) Zbl 1326.76101 Phys. Fluids 27, No. 1, Paper No. 012102, 21 p. (2015). MSC: 76T10 76M25 76E99 PDF BibTeX XML Cite \textit{A. H. Khalid} et al., Phys. Fluids 27, No. 1, Paper No. 012102, 21 p. (2015; Zbl 1326.76101) Full Text: DOI
Mishuris, Gennady; Rogosin, Sergei; Wrobel, Michal Moving stone in the Hele-Shaw flow. (English) Zbl 1328.76028 Mathematika 61, No. 2, 457-474 (2015). MSC: 76D27 35J25 35R35 PDF BibTeX XML Cite \textit{G. Mishuris} et al., Mathematika 61, No. 2, 457--474 (2015; Zbl 1328.76028) Full Text: DOI arXiv
Savina, T. V.; Nepomnyashchy, A. A. The shape control of a growing air bubble in a Hele-Shaw cell. (English) Zbl 1320.76039 SIAM J. Appl. Math. 75, No. 3, 1261-1274 (2015). MSC: 76D27 76M40 35J65 PDF BibTeX XML Cite \textit{T. V. Savina} and \textit{A. A. Nepomnyashchy}, SIAM J. Appl. Math. 75, No. 3, 1261--1274 (2015; Zbl 1320.76039) Full Text: DOI
Bonnaillie-Noël, V.; Lacave, C.; Masmoudi, N. Permeability through a perforated domain for the incompressible 2D Euler equations. (English) Zbl 1318.35070 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 1, 159-182 (2015). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q31 35B27 PDF BibTeX XML Cite \textit{V. Bonnaillie-Noël} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 1, 159--182 (2015; Zbl 1318.35070) Full Text: DOI
Curt, Paula Some remarks on certain invariant geometric properties in Hele-Shaw flows. (English) Zbl 1334.76053 Appl. Math. Comput. 236, 384-390 (2014). MSC: 76D27 PDF BibTeX XML Cite \textit{P. Curt}, Appl. Math. Comput. 236, 384--390 (2014; Zbl 1334.76053) Full Text: DOI
Pavlov, M. V.; Prokhorov, D. V.; Vasil’ev, A. Yu.; Zakharov, A. M. Löwner evolution and finite-dimensional reductions of integrable systems. (English. Russian original) Zbl 1309.37062 Theor. Math. Phys. 181, No. 1, 1263-1278 (2014); translation from Teor. Mat. Fiz. 181, No. 1, 155-172 (2014). MSC: 37K10 37J35 PDF BibTeX XML Cite \textit{M. V. Pavlov} et al., Theor. Math. Phys. 181, No. 1, 1263--1278 (2014; Zbl 1309.37062); translation from Teor. Mat. Fiz. 181, No. 1, 155--172 (2014) Full Text: DOI arXiv
Mishuris, Gennady; Rogosin, Sergei; Wrobel, Michal Hele-Shaw flow with a small obstacle. (English) Zbl 1299.76061 Meccanica 49, No. 9, 2037-2047 (2014). MSC: 76D27 35J25 35R35 PDF BibTeX XML Cite \textit{G. Mishuris} et al., Meccanica 49, No. 9, 2037--2047 (2014; Zbl 1299.76061) Full Text: DOI
Jerison, David; Levine, Lionel; Sheffield, Scott Internal DLA and the Gaussian free field. (English) Zbl 1296.60113 Duke Math. J. 163, No. 2, 267-308 (2014). Reviewer: Guy Jumarie (Montréal) MSC: 60G50 60K35 82C24 PDF BibTeX XML Cite \textit{D. Jerison} et al., Duke Math. J. 163, No. 2, 267--308 (2014; Zbl 1296.60113) Full Text: DOI Euclid arXiv
Demidov, A. S.; Loheac, J.-P.; Runge, V. Attractors-repellers in the space of contours in the Stokes-Leibenson problem for Hele-Shaw flows. (English. Russian original) Zbl 1338.37128 J. Math. Sci., New York 189, No. 4, 568-581 (2013); translation from Probl. Mat. Anal. 69, 23-34 (2013). MSC: 37N10 37C70 76D27 35Q35 PDF BibTeX XML Cite \textit{A. S. Demidov} et al., J. Math. Sci., New York 189, No. 4, 568--581 (2013; Zbl 1338.37128); translation from Probl. Mat. Anal. 69, 23--34 (2013) Full Text: DOI
Bazarganzadeh, Mahmoudreza; Bozorgnia, Farid Numerical approximation of one phase quadrature domains. (English) Zbl 1274.65327 Numer. Methods Partial Differ. Equations 29, No. 5, 1709-1728 (2013). MSC: 65N80 PDF BibTeX XML Cite \textit{M. Bazarganzadeh} and \textit{F. Bozorgnia}, Numer. Methods Partial Differ. Equations 29, No. 5, 1709--1728 (2013; Zbl 1274.65327) Full Text: DOI arXiv
Fericean, Denisa Strongly \(\varPhi \)-like functions of order \(\alpha \) in two-dimensional free boundary problems. (English) Zbl 1379.76013 Appl. Math. Comput. 218, No. 15, 7856-7863 (2012). MSC: 76D27 76D45 76M40 35R35 PDF BibTeX XML Cite \textit{D. Fericean}, Appl. Math. Comput. 218, No. 15, 7856--7863 (2012; Zbl 1379.76013) Full Text: DOI
Contreras, Manuel D.; Díaz-Madrigal, Santiago; Gumenyuk, Pavel Loewner theory in annulus. II: Loewner chains. (English) Zbl 1257.30004 Anal. Math. Phys. 1, No. 4, 351-385 (2011). Reviewer: Dmitri V. Prokhorov (Saratov) MSC: 30C35 30C20 30D05 30C80 34M15 PDF BibTeX XML Cite \textit{M. D. Contreras} et al., Anal. Math. Phys. 1, No. 4, 351--385 (2011; Zbl 1257.30004) Full Text: DOI arXiv
McDonald, N. R. Generalised Hele-Shaw flow: a Schwarz function approach. (English) Zbl 1234.35321 Eur. J. Appl. Math. 22, No. 6, 517-532 (2011). MSC: 35R35 35Q35 76D27 PDF BibTeX XML Cite \textit{N. R. McDonald}, Eur. J. Appl. Math. 22, No. 6, 517--532 (2011; Zbl 1234.35321) Full Text: DOI
He, Andong; Belmonte, Andrew Inertial effects on viscous fingering in the complex plane. (English) Zbl 1225.76120 J. Fluid Mech. 668, 436-445 (2011). MSC: 76E17 76S05 PDF BibTeX XML Cite \textit{A. He} and \textit{A. Belmonte}, J. Fluid Mech. 668, 436--445 (2011; Zbl 1225.76120) Full Text: DOI
Savina, T. V.; Nepomnyashchy, A. A. A dynamical mother body in a Hele-Shaw problem. (English) Zbl 1219.37057 Physica D 240, No. 14-15, 1156-1163 (2011). MSC: 37N10 76D27 PDF BibTeX XML Cite \textit{T. V. Savina} and \textit{A. A. Nepomnyashchy}, Physica D 240, No. 14--15, 1156--1163 (2011; Zbl 1219.37057) Full Text: DOI
Curt, Paula; Fericean, Denisa A special class of univalent functions in Hele-Shaw flow problems. (English) Zbl 1417.76019 Abstr. Appl. Anal. 2011, Article ID 948236, 10 p. (2011). MSC: 76D27 76M40 35R35 30C45 30C55 PDF BibTeX XML Cite \textit{P. Curt} and \textit{D. Fericean}, Abstr. Appl. Anal. 2011, Article ID 948236, 10 p. (2011; Zbl 1417.76019) Full Text: DOI
Entov, Vladimir; Etingof, Pavel On the breakup of air bubbles in a Hele-Shaw cell. (English) Zbl 1429.76046 Eur. J. Appl. Math. 22, No. 2, 125-149 (2011). MSC: 76D27 76T10 35Q35 35R37 PDF BibTeX XML Cite \textit{V. Entov} and \textit{P. Etingof}, Eur. J. Appl. Math. 22, No. 2, 125--149 (2011; Zbl 1429.76046) Full Text: DOI arXiv
Agostiniani, Virginia; Magnanini, Rolando Stability in an overdetermined problem for the Green’s function. (English) Zbl 1213.35324 Ann. Mat. Pura Appl. (4) 190, No. 1, 21-31 (2011). MSC: 35N25 35J08 35B35 35R30 35A08 35J05 PDF BibTeX XML Cite \textit{V. Agostiniani} and \textit{R. Magnanini}, Ann. Mat. Pura Appl. (4) 190, No. 1, 21--31 (2011; Zbl 1213.35324) Full Text: DOI arXiv
Contreras, Manuel D.; Díaz-Madrigal, Santiago; Gumenyuk, Pavel Geometry behind chordal Loewner chains. (English) Zbl 1209.30010 Complex Anal. Oper. Theory 4, No. 3, 541-587 (2010); erratum ibid. 7, No. 4, 1427-1428 (2013). Reviewer: Mugur Acu (Sibiu) MSC: 30C80 30D05 30C35 34M15 PDF BibTeX XML Cite \textit{M. D. Contreras} et al., Complex Anal. Oper. Theory 4, No. 3, 541--587 (2010; Zbl 1209.30010) Full Text: DOI arXiv
Zabrodin, A. Canonical and grand canonical partition functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realization. (English) Zbl 1200.82057 Complex Anal. Oper. Theory 4, No. 3, 497-514 (2010). MSC: 82D05 37K10 PDF BibTeX XML Cite \textit{A. Zabrodin}, Complex Anal. Oper. Theory 4, No. 3, 497--514 (2010; Zbl 1200.82057) Full Text: DOI arXiv
Lee, S.-Y.; Teodorescu, Razvan; Wiegmann, P. Shocks and finite-time singularities in Hele-Shaw flow. (English) Zbl 1167.37382 Physica D 238, No. 14, 1113-1128 (2009). MSC: 37N10 35R35 76D27 PDF BibTeX XML Cite \textit{S. Y. Lee} et al., Physica D 238, No. 14, 1113--1128 (2009; Zbl 1167.37382) Full Text: DOI
Putinar, Gabriela; Putinar, Mihai Reconstruction of algebraic sets from dynamic moments. (English) Zbl 1213.44005 Ann. Fac. Sci. Toulouse, Math. (6) 16, No. 3, 647-664 (2007). MSC: 44A60 47A57 14P10 PDF BibTeX XML Cite \textit{G. Putinar} and \textit{M. Putinar}, Ann. Fac. Sci. Toulouse, Math. (6) 16, No. 3, 647--664 (2007; Zbl 1213.44005) Full Text: DOI EuDML
Vasil’ev, Alexander Energy characteristics of subordination chains. (English) Zbl 1154.30010 Ark. Mat. 45, No. 1, 141-156 (2007). Reviewer: Vasily A. Chernecky (Odessa) MSC: 30C45 30-06 30C55 17B68 81R10 30C35 PDF BibTeX XML Cite \textit{A. Vasil'ev}, Ark. Mat. 45, No. 1, 141--156 (2007; Zbl 1154.30010) Full Text: DOI arXiv
Gustafsson, Björn; Putinar, Mihai Selected topics on quadrature domains. (English) Zbl 1129.30025 Physica D 235, No. 1-2, 90-100 (2007). Reviewer: José Bonet (Valencia) MSC: 30E99 47B20 PDF BibTeX XML Cite \textit{B. Gustafsson} and \textit{M. Putinar}, Physica D 235, No. 1--2, 90--100 (2007; Zbl 1129.30025) Full Text: DOI
Abanov, Ar.; Mineev-Weinstein, M.; Zabrodin, A. Self-similarity in Laplacian growth. (English) Zbl 1123.76059 Physica D 235, No. 1-2, 62-71 (2007). MSC: 76M55 76N15 76M40 PDF BibTeX XML Cite \textit{Ar. Abanov} et al., Physica D 235, No. 1--2, 62--71 (2007; Zbl 1123.76059) Full Text: DOI