Luo, Chenyun; Zhou, Kai A generalized Beale-Kato-Majda breakdown criterion for the free-boundary problem in Euler equations with surface tension. (English) Zbl 07785722 SIAM J. Math. Anal. 56, No. 1, 374-411 (2024). MSC: 35Q35 35R35 76B03 76B45 76B47 76B75 PDFBibTeX XMLCite \textit{C. Luo} and \textit{K. Zhou}, SIAM J. Math. Anal. 56, No. 1, 374--411 (2024; Zbl 07785722) Full Text: DOI arXiv
Silini, Lauro Local existence of smooth solutions for the semigeostrophic equations on curved domains. (English) Zbl 1528.35109 SIAM J. Math. Anal. 55, No. 6, 6554-6579 (2023). MSC: 35Q31 35Q86 76B03 76U60 86A10 35D35 35B65 35A01 35A23 58J90 35J96 35R01 PDFBibTeX XMLCite \textit{L. Silini}, SIAM J. Math. Anal. 55, No. 6, 6554--6579 (2023; Zbl 1528.35109) Full Text: DOI arXiv
Hassainia, Zineb; Wheeler, Miles H. Multipole vortex patch equilibria for active scalar equations. (English) Zbl 1502.35095 SIAM J. Math. Anal. 54, No. 6, 6054-6095 (2022). MSC: 35Q31 35Q86 76B47 76U05 35B65 86A05 PDFBibTeX XMLCite \textit{Z. Hassainia} and \textit{M. H. Wheeler}, SIAM J. Math. Anal. 54, No. 6, 6054--6095 (2022; Zbl 1502.35095) Full Text: DOI arXiv
Gebhard, Björn; Kolumbán, József J. On bounded two-dimensional globally dissipative Euler flows. (English) Zbl 1494.76008 SIAM J. Math. Anal. 54, No. 3, 3457-3479 (2022). MSC: 76B03 76B47 35Q31 PDFBibTeX XMLCite \textit{B. Gebhard} and \textit{J. J. Kolumbán}, SIAM J. Math. Anal. 54, No. 3, 3457--3479 (2022; Zbl 1494.76008) Full Text: DOI arXiv
Cao, Daomin; Wan, Jie Multiscale steady vortex patches for 2D incompressible Euler equations. (English) Zbl 1513.76052 SIAM J. Math. Anal. 54, No. 2, 1488-1514 (2022). MSC: 76B47 35Q31 76M30 PDFBibTeX XMLCite \textit{D. Cao} and \textit{J. Wan}, SIAM J. Math. Anal. 54, No. 2, 1488--1514 (2022; Zbl 1513.76052) Full Text: DOI
Martin, Donati Two-dimensional point vortex dynamics in bounded domains: global existence for almost every initial data. (English) Zbl 1513.76055 SIAM J. Math. Anal. 54, No. 1, 79-113 (2022). MSC: 76B47 34A12 PDFBibTeX XMLCite \textit{D. Martin}, SIAM J. Math. Anal. 54, No. 1, 79--113 (2022; Zbl 1513.76055) Full Text: DOI
Cheng, Jianfeng; Du, Lili Oblique injection of incompressible ideal fluid from a slot into a free stream. (English) Zbl 1457.76040 SIAM J. Math. Anal. 53, No. 1, 754-794 (2021). MSC: 76B10 76B07 76T06 76B03 35Q31 PDFBibTeX XMLCite \textit{J. Cheng} and \textit{L. Du}, SIAM J. Math. Anal. 53, No. 1, 754--794 (2021; Zbl 1457.76040) Full Text: DOI arXiv
Hitruhin, Lauri; Lindberg, Sauli Lamination convex hull of stationary incompressible porous media equations. (English) Zbl 1458.35333 SIAM J. Math. Anal. 53, No. 1, 491-508 (2021). MSC: 35Q35 76S05 76B03 PDFBibTeX XMLCite \textit{L. Hitruhin} and \textit{S. Lindberg}, SIAM J. Math. Anal. 53, No. 1, 491--508 (2021; Zbl 1458.35333) Full Text: DOI
Cao, Daomin; Wang, Guodong; Zhan, Weicheng Desingularization of vortices for two-dimensional steady Euler flows via the vorticity method. (English) Zbl 1461.76082 SIAM J. Math. Anal. 52, No. 6, 5363-5388 (2020). MSC: 76B47 76B03 76E30 76M23 35Q31 PDFBibTeX XMLCite \textit{D. Cao} et al., SIAM J. Math. Anal. 52, No. 6, 5363--5388 (2020; Zbl 1461.76082) Full Text: DOI arXiv
Arsénio, Diogo; Dormy, Emmanuel; Lacave, Christophe The vortex method for two-dimensional ideal flows in exterior domains. (English) Zbl 1448.35373 SIAM J. Math. Anal. 52, No. 4, 3881-3961 (2020). MSC: 35Q31 76B03 76B47 76M23 PDFBibTeX XMLCite \textit{D. Arsénio} et al., SIAM J. Math. Anal. 52, No. 4, 3881--3961 (2020; Zbl 1448.35373) Full Text: DOI arXiv
Novack, Matthew Nonuniqueness of weak solutions to the 3 dimensional quasi-geostrophic equations. (English) Zbl 1446.76075 SIAM J. Math. Anal. 52, No. 4, 3301-3349 (2020). MSC: 76B03 76U60 35Q31 PDFBibTeX XMLCite \textit{M. Novack}, SIAM J. Math. Anal. 52, No. 4, 3301--3349 (2020; Zbl 1446.76075) Full Text: DOI
Rosenzweig, Matthew Justification of the point vortex approximation for modified surface quasi-geostrophic equations. (English) Zbl 1433.76030 SIAM J. Math. Anal. 52, No. 2, 1690-1728 (2020). MSC: 76B47 76D17 35A01 70F10 PDFBibTeX XMLCite \textit{M. Rosenzweig}, SIAM J. Math. Anal. 52, No. 2, 1690--1728 (2020; Zbl 1433.76030) Full Text: DOI arXiv
Dekeyser, Justin Asymptotics of steady vortex pair in the lake equation. (Asymptotic of steady vortex pair in the lake equation.) (English) Zbl 1445.76030 SIAM J. Math. Anal. 51, No. 2, 1209-1237 (2019). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 76B47 76M45 35Q31 86A05 PDFBibTeX XMLCite \textit{J. Dekeyser}, SIAM J. Math. Anal. 51, No. 2, 1209--1237 (2019; Zbl 1445.76030) Full Text: DOI arXiv
Aguillon, Nina; Audusse, Emmanuel; Godlewski, Edwige; Parisot, Martin Analysis of the Riemann problem for a shallow water model with two velocities. (English) Zbl 1403.35224 SIAM J. Math. Anal. 50, No. 5, 4861-4888 (2018). MSC: 35Q35 35L40 35L67 76L05 76B03 76B07 PDFBibTeX XMLCite \textit{N. Aguillon} et al., SIAM J. Math. Anal. 50, No. 5, 4861--4888 (2018; Zbl 1403.35224) Full Text: DOI
Buttà, Paolo; Marchioro, Carlo Long time evolution of concentrated Euler flows with planar symmetry. (English) Zbl 1387.76018 SIAM J. Math. Anal. 50, No. 1, 735-760 (2018). MSC: 76B47 37N10 70K65 PDFBibTeX XMLCite \textit{P. Buttà} and \textit{C. Marchioro}, SIAM J. Math. Anal. 50, No. 1, 735--760 (2018; Zbl 1387.76018) Full Text: DOI arXiv
Cheng, Jianfeng; Du, Lili; Xiang, Wei Incompressible Réthy flows in two dimensions. (English) Zbl 1371.76022 SIAM J. Math. Anal. 49, No. 5, 3427-3475 (2017). MSC: 76B10 76B03 35Q31 35J25 PDFBibTeX XMLCite \textit{J. Cheng} et al., SIAM J. Math. Anal. 49, No. 5, 3427--3475 (2017; Zbl 1371.76022) Full Text: DOI
Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields. (English) Zbl 1373.35239 SIAM J. Math. Anal. 49, No. 3, 1932-1946 (2017). Reviewer: Yuxi Hu (Beijing) MSC: 35Q35 35Q30 76D09 76D07 76D05 PDFBibTeX XMLCite \textit{P. Constantin} et al., SIAM J. Math. Anal. 49, No. 3, 1932--1946 (2017; Zbl 1373.35239) Full Text: DOI arXiv
de la Hoz, Francisco; Hmidi, Taoufik; Mateu, Joan; Verdera, Joan Doubly connected \(V\)-states for the planar Euler equations. (English) Zbl 1342.35239 SIAM J. Math. Anal. 48, No. 3, 1892-1928 (2016). MSC: 35Q31 35Q35 76B47 35B32 PDFBibTeX XMLCite \textit{F. de la Hoz} et al., SIAM J. Math. Anal. 48, No. 3, 1892--1928 (2016; Zbl 1342.35239) Full Text: DOI arXiv
Ming, Mei; Rousset, Frederic; Tzvetkov, Nikolay Multi-solitons and related solutions for the water-waves system. (English) Zbl 1320.35284 SIAM J. Math. Anal. 47, No. 1, 897-954 (2015). MSC: 35Q35 35B36 35C08 76B25 76B07 35R35 PDFBibTeX XMLCite \textit{M. Ming} et al., SIAM J. Math. Anal. 47, No. 1, 897--954 (2015; Zbl 1320.35284) Full Text: DOI arXiv
Hunter, John K.; Ifrim, Mihaela Enhanced life span of smooth solutions of a Burgers-Hilbert equation. (English) Zbl 1259.35166 SIAM J. Math. Anal. 44, No. 3, 2039-2052 (2012). MSC: 35Q35 37L65 76B47 PDFBibTeX XMLCite \textit{J. K. Hunter} and \textit{M. Ifrim}, SIAM J. Math. Anal. 44, No. 3, 2039--2052 (2012; Zbl 1259.35166) Full Text: DOI arXiv
Lacave, Christophe; Miot, Evelyne Uniqueness for the vortex-wave system when the vorticity is constant near the point vortex. (English) Zbl 1189.35259 SIAM J. Math. Anal. 41, No. 3, 1138-1163 (2009). MSC: 35Q35 76B03 76B47 PDFBibTeX XMLCite \textit{C. Lacave} and \textit{E. Miot}, SIAM J. Math. Anal. 41, No. 3, 1138--1163 (2009; Zbl 1189.35259) Full Text: DOI arXiv
Ettinger, Boris; Titi, Edriss S. Global existence and uniqueness of weak solutions of three-dimensional Euler equations with helical symmetry in the absence of vorticity stretching. (English) Zbl 1303.76006 SIAM J. Math. Anal. 41, No. 1, 269-296 (2009). MSC: 76B03 35Q31 35D30 76B47 PDFBibTeX XMLCite \textit{B. Ettinger} and \textit{E. S. Titi}, SIAM J. Math. Anal. 41, No. 1, 269--296 (2009; Zbl 1303.76006) Full Text: DOI arXiv
Lopes Filho, M. C. Vortex dynamics in a two-dimensional domain with holes and the small obstacle limit. (English) Zbl 1286.76018 SIAM J. Math. Anal. 39, No. 2, 422-436 (2007). MSC: 76B03 76B47 35Q31 PDFBibTeX XMLCite \textit{M. C. Lopes Filho}, SIAM J. Math. Anal. 39, No. 2, 422--436 (2007; Zbl 1286.76018) Full Text: DOI
Antontsev, S. N.; Chemetov, N. V. Flux of superconducting vortices through a domain. (English) Zbl 1148.82037 SIAM J. Math. Anal. 39, No. 1, 263-280 (2007). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 82D55 78A45 76B47 35D05 PDFBibTeX XMLCite \textit{S. N. Antontsev} and \textit{N. V. Chemetov}, SIAM J. Math. Anal. 39, No. 1, 263--280 (2007; Zbl 1148.82037) Full Text: DOI
Günther, Matthias; Prokert, Georg On a Hele-Shaw type domain evolution with convected surface energy density: the third-order problem. (English) Zbl 1126.35110 SIAM J. Math. Anal. 38, No. 4, 1154-1185 (2006). Reviewer: Dian K. Palagachev (Bari) MSC: 35R35 76D27 76B07 PDFBibTeX XMLCite \textit{M. Günther} and \textit{G. Prokert}, SIAM J. Math. Anal. 38, No. 4, 1154--1185 (2006; Zbl 1126.35110) Full Text: DOI
Berselli, Luigi C.; Romito, Marco On the existence and uniqueness of weak solutions for a vorticity seeding model. (English) Zbl 1109.35085 SIAM J. Math. Anal. 37, No. 6, 1780-1799 (2006). MSC: 35Q30 76F65 76B03 PDFBibTeX XMLCite \textit{L. C. Berselli} and \textit{M. Romito}, SIAM J. Math. Anal. 37, No. 6, 1780--1799 (2006; Zbl 1109.35085) Full Text: DOI arXiv
Hur, Vera Mikyoung Global bifurcation theory of deep-water waves with vorticity. (English) Zbl 1098.76016 SIAM J. Math. Anal. 37, No. 5, 1482-1521 (2006). MSC: 76B15 76B03 35B32 35J60 47J15 76B47 76E99 PDFBibTeX XMLCite \textit{V. M. Hur}, SIAM J. Math. Anal. 37, No. 5, 1482--1521 (2006; Zbl 1098.76016) Full Text: DOI
Günther, Matthias; Prokert, Georg On a Hele-Shaw-type domain evolution with convected surface energy density. (English) Zbl 1094.35148 SIAM J. Math. Anal. 37, No. 2, 372-410 (2005). Reviewer: Klaus Deckelnick (Magdeburg) MSC: 35R35 76B07 PDFBibTeX XMLCite \textit{M. Günther} and \textit{G. Prokert}, SIAM J. Math. Anal. 37, No. 2, 372--410 (2005; Zbl 1094.35148) Full Text: DOI
Ambrose, David M. Well-posedness of vortex sheets with surface tension. (English) Zbl 1107.76010 SIAM J. Math. Anal. 35, No. 1, 211-244 (2003). MSC: 76B03 76B47 35Q35 76B45 PDFBibTeX XMLCite \textit{D. M. Ambrose}, SIAM J. Math. Anal. 35, No. 1, 211--244 (2003; Zbl 1107.76010) Full Text: DOI
Du, Qiang; Zhang, Ping Existence of weak solutions to some vortex density models. (English) Zbl 1044.35085 SIAM J. Math. Anal. 34, No. 6, 1279-1299 (2003). MSC: 35Q55 76B47 82D55 35D05 PDFBibTeX XMLCite \textit{Q. Du} and \textit{P. Zhang}, SIAM J. Math. Anal. 34, No. 6, 1279--1299 (2003; Zbl 1044.35085) Full Text: DOI
Cabral, H. E.; Schmidt, D. S. Stability of relative equilibria in the problem of \(N+1\) vortices. (English) Zbl 0961.76014 SIAM J. Math. Anal. 31, No. 2, 231-250 (2000). Reviewer: Vasile Ionescu (Bucureşti) MSC: 76B47 76E99 PDFBibTeX XMLCite \textit{H. E. Cabral} and \textit{D. S. Schmidt}, SIAM J. Math. Anal. 31, No. 2, 231--250 (2000; Zbl 0961.76014) Full Text: DOI
Hounie, J.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J. Bounds on the dispersion of vorticity in 2D incompressible, inviscid flows with a priori unbounded velocity. (English) Zbl 0961.35119 SIAM J. Math. Anal. 31, No. 1, 134-153 (1999). MSC: 35Q35 76B47 PDFBibTeX XMLCite \textit{J. Hounie} et al., SIAM J. Math. Anal. 31, No. 1, 134--153 (1999; Zbl 0961.35119) Full Text: DOI
Huang, Chaocheng; Svobodny, Thomas Evolution of mixed-state regions in type-II superconductors. (English) Zbl 0924.76116 SIAM J. Math. Anal. 29, No. 4, 1002-1021 (1998). Reviewer: A.Berezovski (Tallinn) MSC: 76Y05 76B47 82D55 PDFBibTeX XMLCite \textit{C. Huang} and \textit{T. Svobodny}, SIAM J. Math. Anal. 29, No. 4, 1002--1021 (1998; Zbl 0924.76116) Full Text: DOI
Lopes Filho, M. C.; Nussenzveig Lopes, H. J. An extension of Marchioro’s bound on the growth of a vortex patch to flows with series \(L^p\) vorticity. (English) Zbl 0912.35134 SIAM J. Math. Anal. 29, No. 3, 596-599 (1998). Reviewer: V.A.Sava (Iaşi) MSC: 35Q35 76B47 PDFBibTeX XMLCite \textit{M. C. Lopes Filho} and \textit{H. J. Nussenzveig Lopes}, SIAM J. Math. Anal. 29, No. 3, 596--599 (1998; Zbl 0912.35134) Full Text: DOI
Nishiyama, Takahiro; Tani, Atusi Initial and initial-boundary value problems for a vortex filament with or without axial flow. (English) Zbl 0858.35100 SIAM J. Math. Anal. 27, No. 4, 1015-1023 (1996). MSC: 35Q35 76B47 PDFBibTeX XMLCite \textit{T. Nishiyama} and \textit{A. Tani}, SIAM J. Math. Anal. 27, No. 4, 1015--1023 (1996; Zbl 0858.35100) Full Text: DOI
Rubinstein, Jacob; Sternberg, Peter On the slow motion of vortices in the Ginzburg-Landau heat flow. (English) Zbl 0838.35102 SIAM J. Math. Anal. 26, No. 6, 1452-1466 (1995). MSC: 35Q35 76B47 82D55 82D30 PDFBibTeX XMLCite \textit{J. Rubinstein} and \textit{P. Sternberg}, SIAM J. Math. Anal. 26, No. 6, 1452--1466 (1995; Zbl 0838.35102) Full Text: DOI
Caflisch, Russel E.; Orellana, Oscar F. Singular solutions and ill-posedness for the evolution of vortex sheets. (English) Zbl 0697.76029 SIAM J. Math. Anal. 20, No. 2, 293-307 (1989). MSC: 76B47 35L67 76E30 PDFBibTeX XMLCite \textit{R. E. Caflisch} and \textit{O. F. Orellana}, SIAM J. Math. Anal. 20, No. 2, 293--307 (1989; Zbl 0697.76029) Full Text: DOI
Turkington, Bruce Vortex rings with swirl: Axisymmetric solutions of the Euler equations with nonzero helicity. (English) Zbl 0667.76038 SIAM J. Math. Anal. 20, No. 2, 57-73 (1989). MSC: 76B47 49S05 PDFBibTeX XMLCite \textit{B. Turkington}, SIAM J. Math. Anal. 20, No. 2, 57--73 (1989; Zbl 0667.76038) Full Text: DOI
Bertozzi, Andrea Louis Heteroclinic orbits and chaotic dynamics in planar fluid flows. (English) Zbl 0656.76025 SIAM J. Math. Anal. 19, No. 6, 1271-1294 (1988). MSC: 76B47 37J99 70K99 37D45 54H20 PDFBibTeX XMLCite \textit{A. L. Bertozzi}, SIAM J. Math. Anal. 19, No. 6, 1271--1294 (1988; Zbl 0656.76025) Full Text: DOI
Gripenberg, Gustaf Nonexistence of smooth solutions for shearing flows in a nonlinear viscoelastic fluid. (English) Zbl 0514.76006 SIAM J. Math. Anal. 13, 954-961 (1982). MSC: 76A10 76E30 76B47 PDFBibTeX XMLCite \textit{G. Gripenberg}, SIAM J. Math. Anal. 13, 954--961 (1982; Zbl 0514.76006) Full Text: DOI