Berti, Massimiliano; Maspero, Alberto; Ventura, Paolo Stokes waves at the critical depth are modulationally unstable. (English) Zbl 07811477 Commun. Math. Phys. 405, No. 3, Paper No. 56, 67 p. (2024). MSC: 76Bxx 35Qxx 35Bxx PDFBibTeX XMLCite \textit{M. Berti} et al., Commun. Math. Phys. 405, No. 3, Paper No. 56, 67 p. (2024; Zbl 07811477) Full Text: DOI arXiv OA License
Nguyen, Toan T.; Nguyen, Trinh T. The inviscid limit of Navier-Stokes equations for locally near boundary analytic data on an exterior circular domain. (English) Zbl 07804748 Commun. Math. Phys. 405, No. 2, Paper No. 36, 40 p. (2024). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76D10 PDFBibTeX XMLCite \textit{T. T. Nguyen} and \textit{T. T. Nguyen}, Commun. Math. Phys. 405, No. 2, Paper No. 36, 40 p. (2024; Zbl 07804748) Full Text: DOI arXiv
Barker, Tobias; Prange, Christophe; Tan, Jin On symmetry breaking for the Navier-Stokes equations. (English) Zbl 07801687 Commun. Math. Phys. 405, No. 2, Paper No. 25, 39 p. (2024). MSC: 35Q30 35Q31 76D05 76D03 76B03 35D30 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{T. Barker} et al., Commun. Math. Phys. 405, No. 2, Paper No. 25, 39 p. (2024; Zbl 07801687) Full Text: DOI arXiv
De Rosa, Luigi; Inversi, Marco Dissipation in Onsager’s critical classes and energy conservation in \(BV \cap L^\infty\) with and without boundary. (English) Zbl 07793842 Commun. Math. Phys. 405, No. 1, Paper No. 6, 34 p. (2024). MSC: 35Q31 76B47 76B75 35D30 35B65 35R06 PDFBibTeX XMLCite \textit{L. De Rosa} and \textit{M. Inversi}, Commun. Math. Phys. 405, No. 1, Paper No. 6, 34 p. (2024; Zbl 07793842) Full Text: DOI arXiv OA License
Brué, Elia; Colombo, Maria Nonuniqueness of solutions to the Euler equations with vorticity in a Lorentz space. (English) Zbl 1523.35240 Commun. Math. Phys. 403, No. 2, 1171-1192 (2023). MSC: 35Q31 76B47 35A01 35A02 PDFBibTeX XMLCite \textit{E. Brué} and \textit{M. Colombo}, Commun. Math. Phys. 403, No. 2, 1171--1192 (2023; Zbl 1523.35240) Full Text: DOI arXiv OA License
Huang, De; Tong, Jiajun; Wei, Dongyi On self-similar finite-time blowups of the De Gregorio model on the real line. (English) Zbl 07732079 Commun. Math. Phys. 402, No. 3, 2791-2829 (2023). MSC: 35Q35 35Q31 76B03 35C06 35B44 35B65 35P30 PDFBibTeX XMLCite \textit{D. Huang} et al., Commun. Math. Phys. 402, No. 3, 2791--2829 (2023; Zbl 07732079) Full Text: DOI arXiv
Constantin, Peter; Pasqualotto, Federico Magnetic relaxation of a Voigt-MHD system. (English) Zbl 07727605 Commun. Math. Phys. 402, No. 2, 1931-1952 (2023). MSC: 35Q35 76W05 76B03 35B65 PDFBibTeX XMLCite \textit{P. Constantin} and \textit{F. Pasqualotto}, Commun. Math. Phys. 402, No. 2, 1931--1952 (2023; Zbl 07727605) Full Text: DOI arXiv
García, Claudia; Haziot, Susanna V. Global bifurcation for corotating and counter-rotating vortex pairs. (English) Zbl 07727589 Commun. Math. Phys. 402, No. 2, 1167-1204 (2023). MSC: 35Q31 76B47 76U05 35B32 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{C. García} and \textit{S. V. Haziot}, Commun. Math. Phys. 402, No. 2, 1167--1204 (2023; Zbl 07727589) Full Text: DOI arXiv
Gassot, Louise Zero-dispersion limit for the Benjamin-Ono equation on the torus with bell shaped initial data. (English) Zbl 07719634 Commun. Math. Phys. 401, No. 3, 2793-2843 (2023). MSC: 35Q35 35Q53 76B25 35C08 37K15 37K35 35P25 PDFBibTeX XMLCite \textit{L. Gassot}, Commun. Math. Phys. 401, No. 3, 2793--2843 (2023; Zbl 07719634) Full Text: DOI arXiv
Khesin, Boris; Modin, Klas The Toda flow as a porous medium equation. (English) Zbl 07707364 Commun. Math. Phys. 401, No. 2, 1879-1898 (2023). MSC: 37K10 37K25 37J35 76B03 76D03 PDFBibTeX XMLCite \textit{B. Khesin} and \textit{K. Modin}, Commun. Math. Phys. 401, No. 2, 1879--1898 (2023; Zbl 07707364) Full Text: DOI arXiv
Du, Lili; Huang, Jinli; Pu, Yang The free boundary of steady axisymmetric inviscid flow with vorticity. \(I\): near the degenerate point. (English) Zbl 07692744 Commun. Math. Phys. 400, No. 3, 2137-2179 (2023). MSC: 76B47 35Q31 PDFBibTeX XMLCite \textit{L. Du} et al., Commun. Math. Phys. 400, No. 3, 2137--2179 (2023; Zbl 07692744) Full Text: DOI arXiv
Castro, Ángel; Lear, Daniel Traveling waves near Couette flow for the 2D Euler equation. (English) Zbl 1516.35314 Commun. Math. Phys. 400, No. 3, 2005-2079 (2023). MSC: 35Q31 76B03 35C07 35B20 35B32 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{Á. Castro} and \textit{D. Lear}, Commun. Math. Phys. 400, No. 3, 2005--2079 (2023; Zbl 1516.35314) Full Text: DOI arXiv
Chen, Jiajie; Hou, Thomas Y. Correction to: “Finite time blowup of 2D Boussinesq and 3D Euler equations with \(C^{1,\alpha}\) velocity and boundary. (English) Zbl 1511.35046 Commun. Math. Phys. 399, No. 1, 573-575 (2023). MSC: 35B44 35L65 35L67 35Q31 76B03 PDFBibTeX XMLCite \textit{J. Chen} and \textit{T. Y. Hou}, Commun. Math. Phys. 399, No. 1, 573--575 (2023; Zbl 1511.35046) Full Text: DOI
Fei, Mingwen; Gao, Chen; Lin, Zhiwu; Tao, Tao Prandtl-Batchelor flows on a disk. (English) Zbl 1520.76016 Commun. Math. Phys. 397, No. 3, 1103-1161 (2023). Reviewer: Dagmar Medková (Praha) MSC: 76D03 76D10 76M45 35Q30 35Q31 PDFBibTeX XMLCite \textit{M. Fei} et al., Commun. Math. Phys. 397, No. 3, 1103--1161 (2023; Zbl 1520.76016) Full Text: DOI arXiv
Chen, Robin Ming; Walsh, Samuel Orbital stability of internal waves. (English) Zbl 1486.76037 Commun. Math. Phys. 391, No. 3, 1091-1141 (2022). MSC: 76E17 74E30 76B55 76B45 35Q35 PDFBibTeX XMLCite \textit{R. M. Chen} and \textit{S. Walsh}, Commun. Math. Phys. 391, No. 3, 1091--1141 (2022; Zbl 1486.76037) Full Text: DOI arXiv
Abe, Ken Existence of vortex rings in Beltrami flows. (English) Zbl 1495.76024 Commun. Math. Phys. 391, No. 2, 873-899 (2022). Reviewer: Fatma Gamze Duzgun (Ankara) MSC: 76B47 35Q31 PDFBibTeX XMLCite \textit{K. Abe}, Commun. Math. Phys. 391, No. 2, 873--899 (2022; Zbl 1495.76024) Full Text: DOI arXiv
Beekie, Rajendra; Friedlander, Susan; Vicol, Vlad On Moffatt’s magnetic relaxation equations. (English) Zbl 1508.35058 Commun. Math. Phys. 390, No. 3, 1311-1339 (2022). MSC: 35Q35 76B47 76B03 76W05 35A01 35A02 PDFBibTeX XMLCite \textit{R. Beekie} et al., Commun. Math. Phys. 390, No. 3, 1311--1339 (2022; Zbl 1508.35058) Full Text: DOI arXiv
Jeong, In-Jee; Kang, Kyungkeun Well-posedness and singularity formation for inviscid Keller-Segel-fluid system of consumption type. (English) Zbl 1508.35194 Commun. Math. Phys. 390, No. 3, 1175-1217 (2022). MSC: 35Q92 92C17 76B03 35B50 35B44 35A01 35A02 PDFBibTeX XMLCite \textit{I.-J. Jeong} and \textit{K. Kang}, Commun. Math. Phys. 390, No. 3, 1175--1217 (2022; Zbl 1508.35194) Full Text: DOI arXiv
García, Claudia; Hmidi, Taoufik; Mateu, Joan Time periodic solutions for 3D quasi-geostrophic model. (English) Zbl 1508.35072 Commun. Math. Phys. 390, No. 2, 617-756 (2022). MSC: 35Q35 35Q86 76B03 76U65 76B47 76B70 35B10 35B32 35B65 47A53 86A05 PDFBibTeX XMLCite \textit{C. García} et al., Commun. Math. Phys. 390, No. 2, 617--756 (2022; Zbl 1508.35072) Full Text: DOI arXiv
Zbarsky, Samuel From point vortices to vortex patches in self-similar expanding configurations. (English) Zbl 1490.76060 Commun. Math. Phys. 388, No. 2, 707-733 (2021). MSC: 76B47 76B03 76M55 76M45 35Q31 PDFBibTeX XMLCite \textit{S. Zbarsky}, Commun. Math. Phys. 388, No. 2, 707--733 (2021; Zbl 1490.76060) Full Text: DOI arXiv
Gómez-Serrano, Javier; Park, Jaemin; Shi, Jia; Yao, Yao Remarks on stationary and uniformly-rotating vortex sheets: rigidity results. (English) Zbl 1471.76021 Commun. Math. Phys. 386, No. 3, 1845-1879 (2021). MSC: 76B47 76U05 76M30 35Q31 PDFBibTeX XMLCite \textit{J. Gómez-Serrano} et al., Commun. Math. Phys. 386, No. 3, 1845--1879 (2021; Zbl 1471.76021) Full Text: DOI arXiv
Wang, Qun The \(n\)-vortex problem on a Riemann sphere. (English) Zbl 1477.70022 Commun. Math. Phys. 385, No. 1, 565-593 (2021). MSC: 70G45 30F99 37F99 76B47 PDFBibTeX XMLCite \textit{Q. Wang}, Commun. Math. Phys. 385, No. 1, 565--593 (2021; Zbl 1477.70022) Full Text: DOI arXiv
Constantin, Peter; Drivas, Theodore D.; Ginsberg, Daniel Flexibility and rigidity in steady fluid motion. (English) Zbl 1467.76013 Commun. Math. Phys. 385, No. 1, 521-563 (2021). MSC: 76B03 76M60 76M45 76W05 35Q31 PDFBibTeX XMLCite \textit{P. Constantin} et al., Commun. Math. Phys. 385, No. 1, 521--563 (2021; Zbl 1467.76013) Full Text: DOI arXiv
Chen, Jiajie; Hou, Thomas Yizhao Finite time blowup of 2D Boussinesq and 3D Euler equations with \(C^{1, \alpha}\) velocity and boundary. (English) Zbl 1485.35071 Commun. Math. Phys. 383, No. 3, 1559-1667 (2021); correction ibid. 399, No. 1, 573-575 (2023). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35B44 35L65 35L67 76B03 35Q31 PDFBibTeX XMLCite \textit{J. Chen} and \textit{T. Y. Hou}, Commun. Math. Phys. 383, No. 3, 1559--1667 (2021; Zbl 1485.35071) Full Text: DOI arXiv
Agrawal, Siddhant Angled crested like water waves with surface tension: wellposedness of the problem. (English) Zbl 1467.35246 Commun. Math. Phys. 383, No. 3, 1409-1526 (2021). MSC: 35Q31 76B15 76B03 35A21 35L05 PDFBibTeX XMLCite \textit{S. Agrawal}, Commun. Math. Phys. 383, No. 3, 1409--1526 (2021; Zbl 1467.35246) Full Text: DOI arXiv
Haziot, Susanna V. Stratified large-amplitude steady periodic water waves with critical layers. (English) Zbl 1456.76021 Commun. Math. Phys. 381, No. 2, 765-797 (2021). MSC: 76B15 76B70 76M40 35Q35 PDFBibTeX XMLCite \textit{S. V. Haziot}, Commun. Math. Phys. 381, No. 2, 765--797 (2021; Zbl 1456.76021) Full Text: DOI
Su, Qingtang Long time behavior of 2D water waves with point vortices. (English) Zbl 1456.76026 Commun. Math. Phys. 380, No. 3, 1173-1266 (2020). MSC: 76B15 76B47 76M40 35Q35 PDFBibTeX XMLCite \textit{Q. Su}, Commun. Math. Phys. 380, No. 3, 1173--1266 (2020; Zbl 1456.76026) Full Text: DOI arXiv
Bedrossian, Jacob; He, Siming Inviscid damping and enhanced dissipation of the boundary layer for 2D Navier-Stokes linearized around Couette flow in a channel. (English) Zbl 1448.76057 Commun. Math. Phys. 379, No. 1, 177-226 (2020). MSC: 76D05 76D10 35Q30 PDFBibTeX XMLCite \textit{J. Bedrossian} and \textit{S. He}, Commun. Math. Phys. 379, No. 1, 177--226 (2020; Zbl 1448.76057) Full Text: DOI arXiv
Vasseur, Alexis F.; Vishik, Misha Blow-up solutions to 3D Euler are hydrodynamically unstable. (English) Zbl 1446.35114 Commun. Math. Phys. 378, No. 1, 557-568 (2020). MSC: 35Q31 76B03 35B44 35B35 35B65 PDFBibTeX XMLCite \textit{A. F. Vasseur} and \textit{M. Vishik}, Commun. Math. Phys. 378, No. 1, 557--568 (2020; Zbl 1446.35114) Full Text: DOI arXiv
Chae, Dongho; Wolf, Jörg Energy concentrations and type I blow-up for the 3D Euler equations. (English) Zbl 1440.35253 Commun. Math. Phys. 376, No. 2, 1627-1669 (2020). MSC: 35Q31 76D05 76B03 35B44 35C06 PDFBibTeX XMLCite \textit{D. Chae} and \textit{J. Wolf}, Commun. Math. Phys. 376, No. 2, 1627--1669 (2020; Zbl 1440.35253) Full Text: DOI arXiv
Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina Dissipative solutions and semiflow selection for the complete Euler system. (English) Zbl 1441.35188 Commun. Math. Phys. 376, No. 2, 1471-1497 (2020). MSC: 35Q31 76N06 35D35 35B35 35A01 PDFBibTeX XMLCite \textit{D. Breit} et al., Commun. Math. Phys. 376, No. 2, 1471--1497 (2020; Zbl 1441.35188) Full Text: DOI arXiv
Hao, Chengchun; Luo, Tao Ill-posedness of free boundary problem of the incompressible ideal MHD. (English) Zbl 1439.35396 Commun. Math. Phys. 376, No. 1, 259-286 (2020). MSC: 35Q35 76W05 76U05 76B03 35R25 35R35 PDFBibTeX XMLCite \textit{C. Hao} and \textit{T. Luo}, Commun. Math. Phys. 376, No. 1, 259--286 (2020; Zbl 1439.35396) Full Text: DOI arXiv
Besse, Nicolas Regularity of the geodesic flow of the incompressible Euler equations on a manifold. (English) Zbl 1445.76010 Commun. Math. Phys. 375, No. 3, 2155-2189 (2020). MSC: 76B03 35Q31 53Z05 53D25 PDFBibTeX XMLCite \textit{N. Besse}, Commun. Math. Phys. 375, No. 3, 2155--2189 (2020; Zbl 1445.76010) Full Text: DOI
Dekeyser, Justin; Van Schaftingen, Jean Vortex motion for the lake equations. (English) Zbl 1443.76117 Commun. Math. Phys. 375, No. 2, 1459-1501 (2020). MSC: 76B47 76U60 76M45 86A05 PDFBibTeX XMLCite \textit{J. Dekeyser} and \textit{J. Van Schaftingen}, Commun. Math. Phys. 375, No. 2, 1459--1501 (2020; Zbl 1443.76117) Full Text: DOI arXiv
Choi, Kyudong; Denisov, Sergey On the growth of the support of positive vorticity for 2D Euler equation in an infinite cylinder. (English) Zbl 1414.76010 Commun. Math. Phys. 367, No. 3, 1077-1093 (2019). Reviewer: Hakan Adiguzel (Istanbul) MSC: 76B03 35Q31 PDFBibTeX XMLCite \textit{K. Choi} and \textit{S. Denisov}, Commun. Math. Phys. 367, No. 3, 1077--1093 (2019; Zbl 1414.76010) Full Text: DOI arXiv
Enciso, Alberto; Poyato, David; Soler, Juan Stability results, almost global generalized Beltrami fields and applications to vortex structures in the Euler equations. (English) Zbl 1397.35192 Commun. Math. Phys. 360, No. 1, 197-269 (2018). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q31 76B03 76M15 35J46 35J05 35B35 76F25 PDFBibTeX XMLCite \textit{A. Enciso} et al., Commun. Math. Phys. 360, No. 1, 197--269 (2018; Zbl 1397.35192) Full Text: DOI arXiv
Bieri, Lydia; Miao, Shuang; Shahshahani, Sohrab; Wu, Sijue On the motion of a self-gravitating incompressible fluid with free boundary. (English) Zbl 1407.35160 Commun. Math. Phys. 355, No. 1, 161-243 (2017). MSC: 35Q35 35R35 76B99 PDFBibTeX XMLCite \textit{L. Bieri} et al., Commun. Math. Phys. 355, No. 1, 161--243 (2017; Zbl 1407.35160) Full Text: DOI arXiv
Chiodaroli, Elisabetta; Michálek, Martin Existence and non-uniqueness of global weak solutions to inviscid primitive and Boussinesq equations. (English) Zbl 1373.35238 Commun. Math. Phys. 353, No. 3, 1201-1216 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q35 35D30 35A01 35Q31 76B03 PDFBibTeX XMLCite \textit{E. Chiodaroli} and \textit{M. Michálek}, Commun. Math. Phys. 353, No. 3, 1201--1216 (2017; Zbl 1373.35238) Full Text: DOI arXiv
Hmidi, Taoufik; Mateu, Joan Existence of corotating and counter-rotating vortex pairs for active scalar equations. (English) Zbl 1360.35157 Commun. Math. Phys. 350, No. 2, 699-747 (2017). MSC: 35Q31 76B47 76U05 35B65 35Q86 86A05 PDFBibTeX XMLCite \textit{T. Hmidi} and \textit{J. Mateu}, Commun. Math. Phys. 350, No. 2, 699--747 (2017; Zbl 1360.35157) Full Text: DOI arXiv
Craig, Walter; García-Azpeitia, Carlos; Yang, Chi-Ru Standing waves in near-parallel vortex filaments. (English) Zbl 1386.35337 Commun. Math. Phys. 350, No. 1, 175-203 (2017). MSC: 35Q35 37J20 76B47 PDFBibTeX XMLCite \textit{W. Craig} et al., Commun. Math. Phys. 350, No. 1, 175--203 (2017; Zbl 1386.35337) Full Text: DOI arXiv
Hunter, John K.; Ifrim, Mihaela; Tataru, Daniel Two dimensional water waves in holomorphic coordinates. (English) Zbl 1358.35121 Commun. Math. Phys. 346, No. 2, 483-552 (2016). MSC: 35Q35 76B03 76B15 PDFBibTeX XMLCite \textit{J. K. Hunter} et al., Commun. Math. Phys. 346, No. 2, 483--552 (2016; Zbl 1358.35121) Full Text: DOI arXiv
Luo, Tao; Xin, Zhouping; Zeng, Huihui Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities. (English) Zbl 1351.35227 Commun. Math. Phys. 347, No. 3, 657-702 (2016). MSC: 35Q85 76N10 85A05 35R35 35B40 76N17 35D30 35D35 PDFBibTeX XMLCite \textit{T. Luo} et al., Commun. Math. Phys. 347, No. 3, 657--702 (2016; Zbl 1351.35227) Full Text: DOI arXiv
Elling, Volker Self-similar 2d Euler solutions with mixed-sign vorticity. (English) Zbl 1351.35114 Commun. Math. Phys. 348, No. 1, 27-68 (2016). MSC: 35Q31 35C06 76B47 PDFBibTeX XMLCite \textit{V. Elling}, Commun. Math. Phys. 348, No. 1, 27--68 (2016; Zbl 1351.35114) Full Text: DOI
Glass, Olivier; Lacave, Christophe; Sueur, Franck On the motion of a small light body immersed in a two dimensional incompressible perfect fluid with vorticity. (English) Zbl 1398.76030 Commun. Math. Phys. 341, No. 3, 1015-1065 (2016). MSC: 76B47 70B10 PDFBibTeX XMLCite \textit{O. Glass} et al., Commun. Math. Phys. 341, No. 3, 1015--1065 (2016; Zbl 1398.76030) Full Text: DOI arXiv
Puel, Marjolaine; Vasseur, Alexis F. Global weak solutions to the inviscid 3D quasi-geostrophic equation. (English) Zbl 1328.35177 Commun. Math. Phys. 339, No. 3, 1063-1082 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 35Q86 35D30 86A05 PDFBibTeX XMLCite \textit{M. Puel} and \textit{A. F. Vasseur}, Commun. Math. Phys. 339, No. 3, 1063--1082 (2015; Zbl 1328.35177) Full Text: DOI arXiv
Chen, Gui-Qiang G.; Perepelitsa, Mikhail Vanishing viscosity solutions of the compressible Euler equations with spherical symmetry and large initial data. (English) Zbl 1323.35136 Commun. Math. Phys. 338, No. 2, 771-800 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q31 76N17 PDFBibTeX XMLCite \textit{G.-Q. G. Chen} and \textit{M. Perepelitsa}, Commun. Math. Phys. 338, No. 2, 771--800 (2015; Zbl 1323.35136) Full Text: DOI arXiv
Totz, Nathan A justification of the modulation approximation to the 3D full water wave problem. (English) Zbl 1316.35245 Commun. Math. Phys. 335, No. 1, 369-443 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 35R35 76B15 PDFBibTeX XMLCite \textit{N. Totz}, Commun. Math. Phys. 335, No. 1, 369--443 (2015; Zbl 1316.35245) Full Text: DOI arXiv
Matioc, Anca-Voichita; Matioc, Bogdan-Vasile Capillary-gravity water waves with discontinuous vorticity: existence and regularity results. (English) Zbl 1294.35107 Commun. Math. Phys. 330, No. 2, 859-886 (2014). MSC: 35Q35 76B15 76B45 35B65 35D30 35D35 PDFBibTeX XMLCite \textit{A.-V. Matioc} and \textit{B.-V. Matioc}, Commun. Math. Phys. 330, No. 2, 859--886 (2014; Zbl 1294.35107) Full Text: DOI arXiv
Daneri, S. Cauchy problem for dissipative Hölder solutions to the incompressible Euler equations. (English) Zbl 1298.35140 Commun. Math. Phys. 329, No. 2, 745-786 (2014). Reviewer: Keisuke Uchikoshi (Yokosuka) MSC: 35Q31 76B03 35Q35 35D30 PDFBibTeX XMLCite \textit{S. Daneri}, Commun. Math. Phys. 329, No. 2, 745--786 (2014; Zbl 1298.35140) Full Text: DOI arXiv
Jüngel, Ansgar; Lin, Chi-Kun; Wu, Kung-Chien An asymptotic limit of a Navier-Stokes system with capillary effects. (English) Zbl 1297.35169 Commun. Math. Phys. 329, No. 2, 725-744 (2014). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 35Q35 76D05 76B45 76N10 PDFBibTeX XMLCite \textit{A. Jüngel} et al., Commun. Math. Phys. 329, No. 2, 725--744 (2014; Zbl 1297.35169) Full Text: DOI arXiv
Tan, Zhong; Wang, Yanjin Zero surface tension limit of viscous surface waves. (English) Zbl 1296.35125 Commun. Math. Phys. 328, No. 2, 733-807 (2014). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 76D05 35B65 35D35 76B45 35R35 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{Y. Wang}, Commun. Math. Phys. 328, No. 2, 733--807 (2014; Zbl 1296.35125) Full Text: DOI arXiv
Burton, Geoffrey R.; Nussenzveig Lopes, Helena J.; Lopes Filho, Milton C. Nonlinear stability for steady vortex pairs. (English) Zbl 1278.35188 Commun. Math. Phys. 324, No. 2, 445-463 (2013). MSC: 35Q35 76B15 76B47 PDFBibTeX XMLCite \textit{G. R. Burton} et al., Commun. Math. Phys. 324, No. 2, 445--463 (2013; Zbl 1278.35188) Full Text: DOI arXiv
Birtea, Petre; Comănescu, Dan Geometrical dissipation for dynamical systems. (English) Zbl 1300.37020 Commun. Math. Phys. 316, No. 2, 375-394 (2012). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 37C99 34C14 76B47 PDFBibTeX XMLCite \textit{P. Birtea} and \textit{D. Comănescu}, Commun. Math. Phys. 316, No. 2, 375--394 (2012; Zbl 1300.37020) Full Text: DOI arXiv
Rousset, Frederic; Tzvetkov, Nikolay Stability and instability of the KdV solitary wave under the KP-I flow. (English) Zbl 1252.35052 Commun. Math. Phys. 313, No. 1, 155-173 (2012). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35B35 35Q35 76B25 35B40 35C08 PDFBibTeX XMLCite \textit{F. Rousset} and \textit{N. Tzvetkov}, Commun. Math. Phys. 313, No. 1, 155--173 (2012; Zbl 1252.35052) Full Text: DOI arXiv
Totz, Nathan; Wu, Sijue A rigorous justification of the modulation approximation to the 2D full water wave problem. (English) Zbl 1244.76006 Commun. Math. Phys. 310, No. 3, 817-883 (2012). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 76B15 76B25 35Q55 PDFBibTeX XMLCite \textit{N. Totz} and \textit{S. Wu}, Commun. Math. Phys. 310, No. 3, 817--883 (2012; Zbl 1244.76006) Full Text: DOI arXiv Link
Dascaliuc, R.; Grujić, Z. Anomalous dissipation and energy cascade in 3D inviscid flows. (English) Zbl 1235.76049 Commun. Math. Phys. 309, No. 3, 757-770 (2012). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76F99 35Q35 PDFBibTeX XMLCite \textit{R. Dascaliuc} and \textit{Z. Grujić}, Commun. Math. Phys. 309, No. 3, 757--770 (2012; Zbl 1235.76049) Full Text: DOI arXiv
Bjorland, Clayton The vortex-wave equation with a single vortex as the limit of the Euler equation. (English) Zbl 1219.35181 Commun. Math. Phys. 305, No. 1, 131-151 (2011). MSC: 35Q31 76B47 PDFBibTeX XMLCite \textit{C. Bjorland}, Commun. Math. Phys. 305, No. 1, 131--151 (2011; Zbl 1219.35181) Full Text: DOI arXiv
Wang, Henggeng; Zhang, Zhifei A frequency localized maximum principle applied to the 2D quasi-geostrophic equation. (English) Zbl 1248.35211 Commun. Math. Phys. 301, No. 1, 105-129 (2011). MSC: 35Q86 35Q35 35B30 76B03 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Z. Zhang}, Commun. Math. Phys. 301, No. 1, 105--129 (2011; Zbl 1248.35211) Full Text: DOI
Lenells, Jonatan; Misiołek, Gerard; Tiğlay, Feride Integrable evolution equations on spaces of tensor densities and their peakon solutions. (English) Zbl 1214.35059 Commun. Math. Phys. 299, No. 1, 129-161 (2010). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35Q53 37K05 37K10 37K30 35B44 PDFBibTeX XMLCite \textit{J. Lenells} et al., Commun. Math. Phys. 299, No. 1, 129--161 (2010; Zbl 1214.35059) Full Text: DOI arXiv
Grujić, Zoran Localization and geometric depletion of vortex-stretching in the 3D NSE. (English) Zbl 1184.35240 Commun. Math. Phys. 290, No. 3, 861-870 (2009). MSC: 35Q30 35B65 76B03 76B47 PDFBibTeX XMLCite \textit{Z. Grujić}, Commun. Math. Phys. 290, No. 3, 861--870 (2009; Zbl 1184.35240) Full Text: DOI
Danchin, Raphaël; Paicu, Marius Global well-posedness issues for the inviscid Boussinesq system with Yudovich’s type data. (English) Zbl 1186.35157 Commun. Math. Phys. 290, No. 1, 1-14 (2009). MSC: 35Q35 35B30 76B03 PDFBibTeX XMLCite \textit{R. Danchin} and \textit{M. Paicu}, Commun. Math. Phys. 290, No. 1, 1--14 (2009; Zbl 1186.35157) Full Text: DOI arXiv
Li, Dong; Rodrigo, Jose Blow up for the generalized surface quasi-geostrophic equation with supercritical dissipation. (English) Zbl 1172.86301 Commun. Math. Phys. 286, No. 1, 111-124 (2009). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 86A10 35B40 76B03 76U05 PDFBibTeX XMLCite \textit{D. Li} and \textit{J. Rodrigo}, Commun. Math. Phys. 286, No. 1, 111--124 (2009; Zbl 1172.86301) Full Text: DOI
Mellet, A.; Vasseur, A. Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations. (English) Zbl 1155.35415 Commun. Math. Phys. 281, No. 3, 573-596 (2008). MSC: 35Q35 35B40 76N17 PDFBibTeX XMLCite \textit{A. Mellet} and \textit{A. Vasseur}, Commun. Math. Phys. 281, No. 3, 573--596 (2008; Zbl 1155.35415) Full Text: DOI
Kelliher, James P. Expanding domain limit for incompressible fluids in the plane. (English) Zbl 1152.76017 Commun. Math. Phys. 278, No. 3, 753-773 (2008). MSC: 76B03 76D03 76D05 35Q30 35Q35 PDFBibTeX XMLCite \textit{J. P. Kelliher}, Commun. Math. Phys. 278, No. 3, 753--773 (2008; Zbl 1152.76017) Full Text: DOI
Mucha, Piotr Bogusław; Rusin, Walter M. Zygmund spaces, inviscid limit and uniqueness of Euler flows. (English) Zbl 1143.35346 Commun. Math. Phys. 280, No. 3, 831-841 (2008). MSC: 35Q05 35Q30 76B03 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{W. M. Rusin}, Commun. Math. Phys. 280, No. 3, 831--841 (2008; Zbl 1143.35346) Full Text: DOI arXiv
Constantin, P.; Ramos, F. Inviscid limit for damped and driven incompressible Navier-Stokes equations in \(\mathbb R^2\). (English) Zbl 1151.35068 Commun. Math. Phys. 275, No. 2, 529-551 (2007). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 76B03 PDFBibTeX XMLCite \textit{P. Constantin} and \textit{F. Ramos}, Commun. Math. Phys. 275, No. 2, 529--551 (2007; Zbl 1151.35068) Full Text: DOI arXiv
Chae, Dongho Nonexistence of self-similar singularities for the 3D incompressible Euler equations. (English) Zbl 1157.35079 Commun. Math. Phys. 273, No. 1, 203-215 (2007). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q05 76B03 35B40 35Q30 PDFBibTeX XMLCite \textit{D. Chae}, Commun. Math. Phys. 273, No. 1, 203--215 (2007; Zbl 1157.35079) Full Text: DOI arXiv
Masmoudi, Nader Remarks about the inviscid limit of the Navier-Stokes system. (English) Zbl 1118.35030 Commun. Math. Phys. 270, No. 3, 777-788 (2007). MSC: 35Q30 76D05 76B03 PDFBibTeX XMLCite \textit{N. Masmoudi}, Commun. Math. Phys. 270, No. 3, 777--788 (2007; Zbl 1118.35030) Full Text: DOI
Guo, Yan; Hallstrom, Chris; Spirn, Daniel Dynamics near unstable, interfacial fluids. (English) Zbl 1112.76033 Commun. Math. Phys. 270, No. 3, 635-689 (2007). MSC: 76E17 76B47 76B45 76D27 76D45 35Q35 PDFBibTeX XMLCite \textit{Y. Guo} et al., Commun. Math. Phys. 270, No. 3, 635--689 (2007; Zbl 1112.76033) Full Text: DOI
Berselli, Luigi C.; Gubinelli, Massimiliano On the global evolution of vortex filaments, blobs, and small loops in 3D ideal flows. (English) Zbl 1116.76017 Commun. Math. Phys. 269, No. 3, 693-713 (2007). MSC: 76B47 35Q35 PDFBibTeX XMLCite \textit{L. C. Berselli} and \textit{M. Gubinelli}, Commun. Math. Phys. 269, No. 3, 693--713 (2007; Zbl 1116.76017) Full Text: DOI arXiv
Chae, Dongho On the Lagrangian dynamics for the 3D incompressible Euler equations. (English) Zbl 1124.35062 Commun. Math. Phys. 269, No. 2, 557-569 (2007). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35Q35 76B03 35Q05 PDFBibTeX XMLCite \textit{D. Chae}, Commun. Math. Phys. 269, No. 2, 557--569 (2007; Zbl 1124.35062) Full Text: DOI
Chemetov, N. V.; Cipriano, F. The 2D Euler equations and the statistical transport equations. (English) Zbl 1190.76138 Commun. Math. Phys. 267, No. 2, 543-558 (2006). MSC: 76B03 35Q31 76M35 82C70 PDFBibTeX XMLCite \textit{N. V. Chemetov} and \textit{F. Cipriano}, Commun. Math. Phys. 267, No. 2, 543--558 (2006; Zbl 1190.76138) Full Text: DOI
Preston, Stephen C. On the volumorphism group, the first conjugate point is always the hardest. (English) Zbl 1113.37062 Commun. Math. Phys. 267, No. 2, 493-513 (2006). MSC: 37N10 37K65 58B20 76B03 PDFBibTeX XMLCite \textit{S. C. Preston}, Commun. Math. Phys. 267, No. 2, 493--513 (2006; Zbl 1113.37062) Full Text: DOI
Iyer, Gautam A stochastic perturbation of inviscid flows. (English) Zbl 1127.76017 Commun. Math. Phys. 266, No. 3, 631-645 (2006). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 76D03 76B03 76M35 60H15 35Q35 PDFBibTeX XMLCite \textit{G. Iyer}, Commun. Math. Phys. 266, No. 3, 631--645 (2006; Zbl 1127.76017) Full Text: DOI arXiv
Chae, Dongho On the conserved quantities for the weak solutions of the Euler equations and the quasi-geostrophic equations. (English) Zbl 1109.76012 Commun. Math. Phys. 266, No. 1, 197-210 (2006). MSC: 76B03 35Q35 PDFBibTeX XMLCite \textit{D. Chae}, Commun. Math. Phys. 266, No. 1, 197--210 (2006; Zbl 1109.76012) Full Text: DOI
Agrachev, Andrey A.; Sarychev, Andrey V. Controllability of 2D Euler and Navier-Stokes equations by degenerate forcing. (English) Zbl 1105.93008 Commun. Math. Phys. 265, No. 3, 673-697 (2006). MSC: 93B05 93C20 35Q30 35Q35 76B75 76D55 49J20 PDFBibTeX XMLCite \textit{A. A. Agrachev} and \textit{A. V. Sarychev}, Commun. Math. Phys. 265, No. 3, 673--697 (2006; Zbl 1105.93008) Full Text: DOI arXiv
Mustafa, Octavian G. Existence and uniqueness of low regularity solutions for the Dullin-Gottwald-Holm equation. (English) Zbl 1106.35084 Commun. Math. Phys. 265, No. 1, 189-200 (2006). MSC: 35Q53 76B03 76B15 35D05 37K10 PDFBibTeX XMLCite \textit{O. G. Mustafa}, Commun. Math. Phys. 265, No. 1, 189--200 (2006; Zbl 1106.35084) Full Text: DOI
Neves, Aloisio; Lopes, Orlando Orbital stability of double solitons for the Benjamin-Ono equation. (English) Zbl 1103.37046 Commun. Math. Phys. 262, No. 3, 757-791 (2006). MSC: 37K45 37K40 35Q51 35Q53 76B25 76E30 PDFBibTeX XMLCite \textit{A. Neves} and \textit{O. Lopes}, Commun. Math. Phys. 262, No. 3, 757--791 (2006; Zbl 1103.37046) Full Text: DOI
Chae, Dongho On the spectral dynamics of the deformation tensor and new a priori estimates for the 3D Euler equations. (English) Zbl 1104.35024 Commun. Math. Phys. 263, No. 3, 789-801 (2006). MSC: 35Q05 76B03 35Q35 35B45 PDFBibTeX XMLCite \textit{D. Chae}, Commun. Math. Phys. 263, No. 3, 789--801 (2006; Zbl 1104.35024) Full Text: DOI arXiv
Tian, Lixin; Gui, Guilong; Liu, Yue On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation. (English) Zbl 1080.76016 Commun. Math. Phys. 257, No. 3, 667-701 (2005). MSC: 76B15 76B25 35Q35 35Q51 PDFBibTeX XMLCite \textit{L. Tian} et al., Commun. Math. Phys. 257, No. 3, 667--701 (2005; Zbl 1080.76016) Full Text: DOI
Córdoba, Antonio; Córdoba, Diego A maximum principle applied to quasi-geostrophic equations. (English) Zbl 1309.76026 Commun. Math. Phys. 249, No. 3, 511-528 (2004). MSC: 76B03 35Q35 76U05 86A05 26A33 PDFBibTeX XMLCite \textit{A. Córdoba} and \textit{D. Córdoba}, Commun. Math. Phys. 249, No. 3, 511--528 (2004; Zbl 1309.76026) Full Text: DOI
Cheverry, Christophe Propagation of oscillations in real vanishing viscosity limit. (English) Zbl 1079.35060 Commun. Math. Phys. 247, No. 3, 655-695 (2004). Reviewer: Sylvie Benzoni (Lyon) MSC: 35L60 76N17 86A10 35B25 PDFBibTeX XMLCite \textit{C. Cheverry}, Commun. Math. Phys. 247, No. 3, 655--695 (2004; Zbl 1079.35060) Full Text: DOI
Taniuchi, Yasushi Uniformly local \(L^p\) estimate for 2-D vorticity equations and its applications to Euler equations with initial vorticity in bmo. (English) Zbl 1056.76009 Commun. Math. Phys. 248, No. 1, 169-186 (2004). MSC: 76B03 35Q35 PDFBibTeX XMLCite \textit{Y. Taniuchi}, Commun. Math. Phys. 248, No. 1, 169--186 (2004; Zbl 1056.76009) Full Text: DOI
Lin, Zhiwu Some stability and instability criteria for ideal plane flows. (English) Zbl 1061.76016 Commun. Math. Phys. 246, No. 1, 87-112 (2004). MSC: 76E05 76E30 35Q35 76B03 PDFBibTeX XMLCite \textit{Z. Lin}, Commun. Math. Phys. 246, No. 1, 87--112 (2004; Zbl 1061.76016) Full Text: DOI
Chae, Dongho Remarks on the blow-up of the Euler equations and the related equations. (English) Zbl 1145.35443 Commun. Math. Phys. 245, No. 3, 539-550 (2004). Reviewer: Oleg Titow (Berlin) MSC: 35Q31 76B03 35B44 PDFBibTeX XMLCite \textit{D. Chae}, Commun. Math. Phys. 245, No. 3, 539--550 (2004; Zbl 1145.35443) Full Text: DOI
Guo, Yan; Hallstrom, Chris; Spirn, Daniel Dynamics near an unstable Kirchhoff ellipse. (English) Zbl 1061.76012 Commun. Math. Phys. 245, No. 2, 297-354 (2004). MSC: 76B47 76E30 35Q35 PDFBibTeX XMLCite \textit{Y. Guo} et al., Commun. Math. Phys. 245, No. 2, 297--354 (2004; Zbl 1061.76012) Full Text: DOI
Ogawa, Takayoshi; Yokota, Tomomi Uniqueness and inviscid limits of solutions for the complex Ginzburg-Landau equation in a two-dimensional domain. (English) Zbl 1072.35171 Commun. Math. Phys. 245, No. 1, 105-121 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q55 82D55 35D10 PDFBibTeX XMLCite \textit{T. Ogawa} and \textit{T. Yokota}, Commun. Math. Phys. 245, No. 1, 105--121 (2004; Zbl 1072.35171) Full Text: DOI
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis On the interaction of nearly parallel vortex filaments. (English) Zbl 1073.76014 Commun. Math. Phys. 243, No. 3, 471-483 (2003). MSC: 76B47 35Q35 76B03 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., Commun. Math. Phys. 243, No. 3, 471--483 (2003; Zbl 1073.76014) Full Text: DOI
Vishik, Misha; Friedlander, Susan Nonlinear instability in two-dimensional ideal fluids: the case of a dominant eigenvalue. (English) Zbl 1043.76025 Commun. Math. Phys. 243, No. 2, 261-273 (2003). MSC: 76E30 76B03 35Q35 PDFBibTeX XMLCite \textit{M. Vishik} and \textit{S. Friedlander}, Commun. Math. Phys. 243, No. 2, 261--273 (2003; Zbl 1043.76025) Full Text: DOI
Chae, Dongho Remarks on the helicity of the 3-D incompressible Euler equations. (English) Zbl 1078.76013 Commun. Math. Phys. 240, No. 3, 501-507 (2003). Reviewer: Valeriu Al. Sava (Iaşi) MSC: 76B03 35Q35 76D10 PDFBibTeX XMLCite \textit{D. Chae}, Commun. Math. Phys. 240, No. 3, 501--507 (2003; Zbl 1078.76013) Full Text: DOI
Iftimie, D.; Filho, M. C. Lopes; Lopes, H. J. Nussenzveig Large time behavior for vortex evolution in the half-plane. (English) Zbl 1037.76009 Commun. Math. Phys. 237, No. 3, 441-469 (2003). MSC: 76B47 35Q35 35B40 PDFBibTeX XMLCite \textit{D. Iftimie} et al., Commun. Math. Phys. 237, No. 3, 441--469 (2003; Zbl 1037.76009) Full Text: DOI arXiv
Iturriaga, R.; Khanin, K. Burgers turbulence and random Lagrangian systems. (English) Zbl 1029.76030 Commun. Math. Phys. 232, No. 3, 377-428 (2003). MSC: 76F55 76M35 35Q35 PDFBibTeX XMLCite \textit{R. Iturriaga} and \textit{K. Khanin}, Commun. Math. Phys. 232, No. 3, 377--428 (2003; Zbl 1029.76030) Full Text: DOI
Planchon, Fabrice An extension of the Beale-Kato-Majda criterion for the Euler equations. (English) Zbl 1022.35048 Commun. Math. Phys. 232, No. 2, 319-326 (2003). MSC: 35Q35 76B03 35Q05 PDFBibTeX XMLCite \textit{F. Planchon}, Commun. Math. Phys. 232, No. 2, 319--326 (2003; Zbl 1022.35048) Full Text: DOI
Martel, Yvan; Merle, Frank; Tsai, Tai-Peng Stability and asymptotic stability for subcritical gKdV equations. (English) Zbl 1017.35098 Commun. Math. Phys. 231, No. 2, 347-373 (2002). MSC: 35Q53 37K45 76B25 PDFBibTeX XMLCite \textit{Y. Martel} et al., Commun. Math. Phys. 231, No. 2, 347--373 (2002; Zbl 1017.35098) Full Text: DOI
Liu, Hailiang; Tadmor, Eitan Spectral dynamics of the velocity gradient field in restricted flows. (English) Zbl 1031.76006 Commun. Math. Phys. 228, No. 3, 435-466 (2002). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 76B03 35Q30 35Q35 76D03 PDFBibTeX XMLCite \textit{H. Liu} and \textit{E. Tadmor}, Commun. Math. Phys. 228, No. 3, 435--466 (2002; Zbl 1031.76006) Full Text: DOI arXiv
Chen, Gui-Qiang; Frid, Hermano; Li, Yachun Uniqueness and stability of Riemann solutions with large oscillation in gas dynamics. (English) Zbl 1029.76045 Commun. Math. Phys. 228, No. 2, 201-217 (2002). Reviewer: Dimitar A.Kolev (Sofia) MSC: 76N10 35Q35 35L65 PDFBibTeX XMLCite \textit{G.-Q. Chen} et al., Commun. Math. Phys. 228, No. 2, 201--217 (2002; Zbl 1029.76045) Full Text: DOI
Haragus, Mariana; Scheel, Arnd Finite-wavelength stability of capillary-gravity solitary waves. (English) Zbl 0992.35062 Commun. Math. Phys. 225, No. 3, 487-521 (2002). MSC: 35Q05 76B25 37K45 PDFBibTeX XMLCite \textit{M. Haragus} and \textit{A. Scheel}, Commun. Math. Phys. 225, No. 3, 487--521 (2002; Zbl 0992.35062) Full Text: DOI
Giraud, Christophe Genealogy of shocks in Burgers turbulence with white noise initial velocity. (English) Zbl 0997.76035 Commun. Math. Phys. 223, No. 1, 67-86 (2001). MSC: 76F55 76L05 76M35 PDFBibTeX XMLCite \textit{C. Giraud}, Commun. Math. Phys. 223, No. 1, 67--86 (2001; Zbl 0997.76035) Full Text: DOI
Cordoba, Diego; Fefferman, Charles On the collapse of tubes carried by 3D incompressible flows. (English) Zbl 0999.76020 Commun. Math. Phys. 222, No. 2, 293-298 (2001). MSC: 76B03 35Q35 PDFBibTeX XMLCite \textit{D. Cordoba} and \textit{C. Fefferman}, Commun. Math. Phys. 222, No. 2, 293--298 (2001; Zbl 0999.76020) Full Text: DOI arXiv
Constantin, Peter An Eulerian-Lagrangian approach to the Navier-Stokes equations. (English) Zbl 0988.76020 Commun. Math. Phys. 216, No. 3, 663-686 (2001). Reviewer: Etienne Emmrich (Berlin) MSC: 76D03 76D05 35Q30 PDFBibTeX XMLCite \textit{P. Constantin}, Commun. Math. Phys. 216, No. 3, 663--686 (2001; Zbl 0988.76020) Full Text: DOI arXiv