Qian, Zhongmin; Yao, Yuhan McKean-Vlasov type stochastic differential equations arising from the random vortex method. (English) Zbl 07479044 SN Partial Differ. Equ. Appl. 3, No. 1, Paper No. 7, 22 p. (2022). MSC: 60H30 35Q30 35Q35 76D03 76D05 76D17 PDF BibTeX XML Cite \textit{Z. Qian} and \textit{Y. Yao}, SN Partial Differ. Equ. Appl. 3, No. 1, Paper No. 7, 22 p. (2022; Zbl 07479044) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Q. Wang}, Commun. Math. Phys. 385, No. 1, 565--593 (2021; Zbl 1477.70022) Full Text: DOI arXiv OpenURL
Ao, Weiwei; Jevnikar, Aleks; Yang, Wen Wave equations associated with Liouville-type problems: global existence in time and blow-up criteria. (English) Zbl 1461.35067 Ann. Mat. Pura Appl. (4) 200, No. 3, 1175-1194 (2021). MSC: 35B44 35L71 35R01 35R09 PDF BibTeX XML Cite \textit{W. Ao} et al., Ann. Mat. Pura Appl. (4) 200, No. 3, 1175--1194 (2021; Zbl 1461.35067) Full Text: DOI arXiv OpenURL
DelaTorre, Azahara; Mancini, Gabriele; Pistoia, Angela Sign-changing solutions for the one-dimensional non-local sinh-Poisson equation. (English) Zbl 1467.34005 Adv. Nonlinear Stud. 20, No. 4, 739-767 (2020). MSC: 34A08 34B15 PDF BibTeX XML Cite \textit{A. DelaTorre} et al., Adv. Nonlinear Stud. 20, No. 4, 739--767 (2020; Zbl 1467.34005) Full Text: DOI arXiv OpenURL
Flandoli, Franco; Olivera, Christian; Simon, Marielle Uniform approximation of 2 dimensional Navier-Stokes equation by stochastic interacting particle systems. (English) Zbl 1456.60165 SIAM J. Math. Anal. 52, No. 6, 5339-5362 (2020). MSC: 60H20 60H10 35Q30 35R60 PDF BibTeX XML Cite \textit{F. Flandoli} et al., SIAM J. Math. Anal. 52, No. 6, 5339--5362 (2020; Zbl 1456.60165) Full Text: DOI arXiv OpenURL
Geldhauser, Carina; Romito, Marco The point vortex model for the Euler equation. (English) Zbl 07510876 AIMS Math. 4, No. 3, 534-575 (2019). MSC: 76M23 35Q31 35Q35 60F05 60F10 82C22 76B47 PDF BibTeX XML Cite \textit{C. Geldhauser} and \textit{M. Romito}, AIMS Math. 4, No. 3, 534--575 (2019; Zbl 07510876) Full Text: DOI OpenURL
Hao, Jinhua; Xiong, Shiying; Yang, Yue Tracking vortex surfaces frozen in the virtual velocity in non-ideal flows. (English) Zbl 1415.76099 J. Fluid Mech. 863, 513-544 (2019). MSC: 76B47 PDF BibTeX XML Cite \textit{J. Hao} et al., J. Fluid Mech. 863, 513--544 (2019; Zbl 1415.76099) Full Text: DOI OpenURL
Gérard-Varet, David; Maekawa, Yasunori; Masmoudi, Nader Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows. (English) Zbl 1420.35187 Duke Math. J. 167, No. 13, 2531-2631 (2018). Reviewer: Cheng He (Beijing) MSC: 35Q30 35Q35 76D10 76D05 PDF BibTeX XML Cite \textit{D. Gérard-Varet} et al., Duke Math. J. 167, No. 13, 2531--2631 (2018; Zbl 1420.35187) Full Text: DOI arXiv Euclid OpenURL
Pooley, Benjamin C. On a model for the Navier-Stokes equations using magnetization variables. (English) Zbl 1384.35068 J. Differ. Equations 264, No. 8, 5180-5196 (2018). MSC: 35Q30 35B50 46E35 35A30 PDF BibTeX XML Cite \textit{B. C. Pooley}, J. Differ. Equations 264, No. 8, 5180--5196 (2018; Zbl 1384.35068) Full Text: DOI arXiv OpenURL
Holm, Darryl D.; Jacobs, Henry O. Multipole vortex blobs (MVB): symplectic geometry and dynamics. (English) Zbl 1365.76212 J. Nonlinear Sci. 27, No. 3, 973-1006 (2017). MSC: 76M23 76M60 70H15 PDF BibTeX XML Cite \textit{D. D. Holm} and \textit{H. O. Jacobs}, J. Nonlinear Sci. 27, No. 3, 973--1006 (2017; Zbl 1365.76212) Full Text: DOI arXiv Link OpenURL
Wang, Xiaoming Numerical algorithms for stationary statistical properties of dissipative dynamical systems. (English) Zbl 1354.37077 Discrete Contin. Dyn. Syst. 36, No. 8, 4599-4618 (2016). MSC: 37L60 34K60 35Q56 39A50 37M05 37L40 PDF BibTeX XML Cite \textit{X. Wang}, Discrete Contin. Dyn. Syst. 36, No. 8, 4599--4618 (2016; Zbl 1354.37077) Full Text: DOI OpenURL
Battaglia, Luca; Jevnikar, Aleks; Malchiodi, Andrea; Ruiz, David A general existence result for the Toda system on compact surfaces. (English) Zbl 1327.35098 Adv. Math. 285, 937-979 (2015). MSC: 35J50 35J61 35R01 35Q35 35J47 PDF BibTeX XML Cite \textit{L. Battaglia} et al., Adv. Math. 285, 937--979 (2015; Zbl 1327.35098) Full Text: DOI arXiv OpenURL
Delbaen, Freddy; Qiu, Jinniao; Tang, Shanjian Forward-backward stochastic differential systems associated to Navier-Stokes equations in the whole space. (English) Zbl 1323.35010 Stochastic Processes Appl. 125, No. 7, 2516-2561 (2015). Reviewer: Luisa Consiglieri (Lisboa) MSC: 35D35 35R60 35Q30 60H15 76D05 PDF BibTeX XML Cite \textit{F. Delbaen} et al., Stochastic Processes Appl. 125, No. 7, 2516--2561 (2015; Zbl 1323.35010) Full Text: DOI arXiv OpenURL
Zhang, Yibin; Yang, Haitao Construction of nodal bubbling solutions for the weighted sinh-Poisson equation. (English) Zbl 1470.35166 Abstr. Appl. Anal. 2013, Article ID 873948, 16 p. (2013). MSC: 35J91 35B25 35Q31 76B03 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{H. Yang}, Abstr. Appl. Anal. 2013, Article ID 873948, 16 p. (2013; Zbl 1470.35166) Full Text: DOI OpenURL
Grossi, Massimo; Pistoia, Angela Multiple blow-up phenomena for the sinh-Poisson equation. (English) Zbl 1303.35088 Arch. Ration. Mech. Anal. 209, No. 1, 287-320 (2013). Reviewer: V. D. Sharma (Mumbai) MSC: 35Q53 76D05 35B44 35J61 PDF BibTeX XML Cite \textit{M. Grossi} and \textit{A. Pistoia}, Arch. Ration. Mech. Anal. 209, No. 1, 287--320 (2013; Zbl 1303.35088) Full Text: DOI arXiv OpenURL
Herbert, Corentin Additional invariants and statistical equilibria for the 2D Euler equations on a spherical domain. (English) Zbl 1334.76008 J. Stat. Phys. 152, No. 6, 1084-1114 (2013). MSC: 76B03 76U05 76F02 35Q31 82D15 PDF BibTeX XML Cite \textit{C. Herbert}, J. Stat. Phys. 152, No. 6, 1084--1114 (2013; Zbl 1334.76008) Full Text: DOI arXiv OpenURL
Feng, Jin; Świȩch, Andrzej [Stefanov, Atanas] Optimal control for a mixed flow of Hamiltonian and gradient type in space of probability measures (with Appendix B by Atanas Stefanov). (English) Zbl 1319.35293 Trans. Am. Math. Soc. 365, No. 8, 3987-4039 (2013). Reviewer: Ovidiu Cârjă (Iaşi) MSC: 35R15 49L25 49J20 PDF BibTeX XML Cite \textit{J. Feng} and \textit{A. Świȩch}, Trans. Am. Math. Soc. 365, No. 8, 3987--4039 (2013; Zbl 1319.35293) Full Text: DOI OpenURL
Dascaliuc, R.; Grujić, Z. Coherent vortex structures and 3D enstrophy cascade. (English) Zbl 1344.76021 Commun. Math. Phys. 317, No. 2, 547-561 (2013). MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{R. Dascaliuc} and \textit{Z. Grujić}, Commun. Math. Phys. 317, No. 2, 547--561 (2013; Zbl 1344.76021) Full Text: DOI arXiv OpenURL
De Lellis, Camillo; Székelyhidi, László jun. The \(h\)-principle and the equations of fluid dynamics. (English) Zbl 1254.35180 Bull. Am. Math. Soc., New Ser. 49, No. 3, 347-375 (2012). MSC: 35Q31 76B03 76F02 35Q35 PDF BibTeX XML Cite \textit{C. De Lellis} and \textit{L. Székelyhidi jun.}, Bull. Am. Math. Soc., New Ser. 49, No. 3, 347--375 (2012; Zbl 1254.35180) Full Text: DOI arXiv OpenURL
Wang, Xiaoming An efficient second order in time scheme for approximating long time statistical properties of the two-dimensional Navier-Stokes equations. (English) Zbl 1435.76054 Numer. Math. 121, No. 4, 753-779 (2012). MSC: 76M20 76D06 76M12 PDF BibTeX XML Cite \textit{X. Wang}, Numer. Math. 121, No. 4, 753--779 (2012; Zbl 1435.76054) Full Text: DOI arXiv OpenURL
Llewellyn Smith, Stefan G. How do singularities move in potential flow? (English) Zbl 1343.76007 Physica D 240, No. 20, 1644-1651 (2011). MSC: 76B47 PDF BibTeX XML Cite \textit{S. G. Llewellyn Smith}, Physica D 240, No. 20, 1644--1651 (2011; Zbl 1343.76007) Full Text: DOI Link OpenURL
Kivotides, Demosthenes Spreading of superfluid vorticity clouds in normal-fluid turbulence. (English) Zbl 1225.76046 J. Fluid Mech. 668, 58-75 (2011). MSC: 76A25 76F99 PDF BibTeX XML Cite \textit{D. Kivotides}, J. Fluid Mech. 668, 58--75 (2011; Zbl 1225.76046) Full Text: DOI OpenURL
Zhou, Chunqin Existence result for mean field equation of the equilibrium turbulence in the super critical case. (English) Zbl 1269.35010 Commun. Contemp. Math. 13, No. 4, 659-673 (2011). MSC: 35J91 30F30 35J20 35R01 35B33 PDF BibTeX XML Cite \textit{C. Zhou}, Commun. Contemp. Math. 13, No. 4, 659--673 (2011; Zbl 1269.35010) Full Text: DOI OpenURL
Roberts, D. E.; Summers, D. M. Analysis of fluctuations induced by a scale hierarchy of interacting particles. (English) Zbl 1234.76029 Theor. Comput. Fluid Dyn. 24, No. 5, 437-464 (2010). MSC: 76F05 PDF BibTeX XML Cite \textit{D. E. Roberts} and \textit{D. M. Summers}, Theor. Comput. Fluid Dyn. 24, No. 5, 437--464 (2010; Zbl 1234.76029) Full Text: DOI OpenURL
Xu, Changyue; Chen, Liwei; Lu, Xiyun Large-eddy simulation of the compressible flow past a wavy cylinder. (English) Zbl 1225.76174 J. Fluid Mech. 665, 238-273 (2010). MSC: 76F65 76F50 76M12 PDF BibTeX XML Cite \textit{C. Xu} et al., J. Fluid Mech. 665, 238--273 (2010; Zbl 1225.76174) Full Text: DOI OpenURL
Fontbona, J. Stochastic vortex method for forced three-dimensional Navier-Stokes equations and pathwise convergence rate. (English) Zbl 1222.60077 Ann. Appl. Probab. 20, No. 5, 1761-1800 (2010). Reviewer: Bo Markussen (Kopenhagen) MSC: 60K35 35Q30 76D05 76D17 65C35 76M23 PDF BibTeX XML Cite \textit{J. Fontbona}, Ann. Appl. Probab. 20, No. 5, 1761--1800 (2010; Zbl 1222.60077) Full Text: DOI arXiv OpenURL
Bartsch, Thomas; Pistoia, Angela; Weth, Tobias \(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations. (English) Zbl 1195.35250 Commun. Math. Phys. 297, No. 3, 653-686 (2010); erratum ibid. 333, No. 2, 1107 (2015). MSC: 35Q35 35J05 35Q31 35J25 76D17 PDF BibTeX XML Cite \textit{T. Bartsch} et al., Commun. Math. Phys. 297, No. 3, 653--686 (2010; Zbl 1195.35250) Full Text: DOI OpenURL
Summers, D. M.; Roberts, D. E. Velocity correlation considered as a ‘scale average’ in a hierarchical particle model of turbulence. I: Unbounded hierarchy. (English) Zbl 1273.76175 J. Turbul. 10, Paper No. 2, 30 p. (2009). MSC: 76F55 PDF BibTeX XML Cite \textit{D. M. Summers} and \textit{D. E. Roberts}, J. Turbul. 10, Paper No. 2, 30 p. (2009; Zbl 1273.76175) Full Text: DOI OpenURL
De Lellis, Camillo; Székelyhidi, László jun. The Euler equations as a differential inclusion. (English) Zbl 1350.35146 Ann. Math. (2) 170, No. 3, 1417-1436 (2009). MSC: 35Q31 35D30 76B03 34A60 PDF BibTeX XML Cite \textit{C. De Lellis} and \textit{L. Székelyhidi jun.}, Ann. Math. (2) 170, No. 3, 1417--1436 (2009; Zbl 1350.35146) Full Text: DOI arXiv Link OpenURL
Bernard, Peter S. Vortex filament simulation of the turbulent coflowing jet. (English) Zbl 1183.76089 Phys. Fluids 21, No. 2, Paper No. 025107, 18 p. (2009). MSC: 76-XX PDF BibTeX XML Cite \textit{P. S. Bernard}, Phys. Fluids 21, No. 2, Paper No. 025107, 18 p. (2009; Zbl 1183.76089) Full Text: DOI Link OpenURL
Chakraborty, Sagar Two point third order correlation functions for quasigeostrophic turbulence: Kolmogorov-Landau approach. (English) Zbl 1182.76132 Phys. Fluids 20, No. 7, Paper No. 075106, 5 p. (2008). MSC: 76-XX PDF BibTeX XML Cite \textit{S. Chakraborty}, Phys. Fluids 20, No. 7, Paper No. 075106, 5 p. (2008; Zbl 1182.76132) Full Text: DOI arXiv OpenURL
Zhou, Chunqin Existence of solution for mean field equation for the equilibrium turbulence. (English) Zbl 1158.58010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 8, 2541-2552 (2008). Reviewer: Dian K. Palagachev (Bari) MSC: 58J05 58J60 PDF BibTeX XML Cite \textit{C. Zhou}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 8, 2541--2552 (2008; Zbl 1158.58010) Full Text: DOI OpenURL
Jost, Jürgen; Wang, Guofang; Ye, Dong; Zhou, Chunqin The blow up analysis of solutions of the elliptic sinh-Gordon equation. (English) Zbl 1137.35061 Calc. Var. Partial Differ. Equ. 31, No. 2, 263-276 (2008). Reviewer: Gabjin Yun (Yangin) MSC: 35Q53 58J05 35B40 53C42 58E20 PDF BibTeX XML Cite \textit{J. Jost} et al., Calc. Var. Partial Differ. Equ. 31, No. 2, 263--276 (2008; Zbl 1137.35061) Full Text: DOI OpenURL
Summers, D. M. Complementary modes of impulse generation for flow past a three-dimensional obstacle. (English) Zbl 1170.76325 Theor. Comput. Fluid Dyn. 21, No. 1, 15-38 (2007). MSC: 76D25 76M25 PDF BibTeX XML Cite \textit{D. M. Summers}, Theor. Comput. Fluid Dyn. 21, No. 1, 15--38 (2007; Zbl 1170.76325) Full Text: DOI OpenURL
Berdichevsky, V. Averaged equations of ideal fluid turbulence. (English) Zbl 1160.76351 Contin. Mech. Thermodyn. 19, No. 3-4, 133-175 (2007). MSC: 76F02 PDF BibTeX XML Cite \textit{V. Berdichevsky}, Contin. Mech. Thermodyn. 19, No. 3--4, 133--175 (2007; Zbl 1160.76351) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{L. C. Berselli} and \textit{M. Gubinelli}, Commun. Math. Phys. 269, No. 3, 693--713 (2007; Zbl 1116.76017) Full Text: DOI arXiv OpenURL
Nualart, David Stochastic calculus with respect to fractional Brownian motion. (English) Zbl 1255.60058 Ann. Fac. Sci. Toulouse, Math. (6) 15, No. 1, 63-78 (2006). MSC: 60G15 60G22 60G18 60H05 PDF BibTeX XML Cite \textit{D. Nualart}, Ann. Fac. Sci. Toulouse, Math. (6) 15, No. 1, 63--78 (2006; Zbl 1255.60058) Full Text: DOI Numdam Numdam EuDML OpenURL
Fontbona, J. A probabilistic interpretation and stochastic particle approximations of the 3-dimensional Navier-Stokes equations. (English) Zbl 1098.60088 Probab. Theory Relat. Fields 136, No. 1, 102-156 (2006). MSC: 60K35 35Q30 76D05 76D17 65C35 76M23 PDF BibTeX XML Cite \textit{J. Fontbona}, Probab. Theory Relat. Fields 136, No. 1, 102--156 (2006; Zbl 1098.60088) Full Text: DOI OpenURL
Ju, Ning Geometric depletion of vortex stretch in 3d viscous incompressible flow. (English) Zbl 1158.76312 J. Math. Anal. Appl. 321, No. 1, 412-425 (2006). MSC: 76D03 35Q35 76D05 PDF BibTeX XML Cite \textit{N. Ju}, J. Math. Anal. Appl. 321, No. 1, 412--425 (2006; Zbl 1158.76312) Full Text: DOI OpenURL
Botelho, Luiz C. L. Some non-perturbative path integrals studies in statistical Burger turbulence: strings and stochastic instantons configurations. (English) Zbl 1095.81042 Int. J. Mod. Phys. B 20, No. 8, 969-1003 (2006). Reviewer: Michael B. Mensky (Moskva) MSC: 81S40 76B47 76F20 PDF BibTeX XML Cite \textit{L. C. L. Botelho}, Int. J. Mod. Phys. B 20, No. 8, 969--1003 (2006; Zbl 1095.81042) Full Text: DOI OpenURL
Kevlahan, N. K.-R. Stochastic differential equation models of vortex merging and reconnection. (English) Zbl 1187.76266 Phys. Fluids 17, No. 6, Paper No. 065107, 11 p. (2005). MSC: 76-XX PDF BibTeX XML Cite \textit{N. K. R. Kevlahan}, Phys. Fluids 17, No. 6, Paper No. 065107, 11 p. (2005; Zbl 1187.76266) Full Text: DOI Link OpenURL
Montgomery-Smith, Stephen Conditions implying regularity of the three dimensional Navier-Stokes equation. (English) Zbl 1099.35086 Appl. Math., Praha 50, No. 5, 451-464 (2005). MSC: 35Q30 76D05 60H30 46E30 PDF BibTeX XML Cite \textit{S. Montgomery-Smith}, Appl. Math., Praha 50, No. 5, 451--464 (2005; Zbl 1099.35086) Full Text: DOI arXiv EuDML OpenURL
Gomes, Diogo Aguiar A variational formulation for the Navier-Stokes equation. (English) Zbl 1080.37083 Commun. Math. Phys. 257, No. 1, 227-234 (2005). MSC: 37K65 35Q30 76D05 37N10 76M30 93C20 PDF BibTeX XML Cite \textit{D. A. Gomes}, Commun. Math. Phys. 257, No. 1, 227--234 (2005; Zbl 1080.37083) Full Text: DOI OpenURL
Bessaih, Hakima; Gubinelli, Massimiliano; Russo, Francesco The evolution of a random vortex filament. (English) Zbl 1084.60030 Ann. Probab. 33, No. 5, 1825-1855 (2005). Reviewer: Carles Rovira (Barcelona) MSC: 60H05 76B47 PDF BibTeX XML Cite \textit{H. Bessaih} et al., Ann. Probab. 33, No. 5, 1825--1855 (2005; Zbl 1084.60030) Full Text: DOI arXiv OpenURL
Okong’o, Nora; Bellan, Josette Perturbation and initial Reynolds number effects on transition attainment of supercritical, binary, temporal mixing layers. (English) Zbl 1058.76561 Comput. Fluids 33, No. 8, 1023-1046 (2004). MSC: 76E99 76N15 76M20 PDF BibTeX XML Cite \textit{N. Okong'o} and \textit{J. Bellan}, Comput. Fluids 33, No. 8, 1023--1046 (2004; Zbl 1058.76561) Full Text: DOI OpenURL
Bessaih, H.; Flandoli, F. Limit behaviour of a dense collection of vortex filaments. (English) Zbl 1137.76387 Math. Models Methods Appl. Sci. 14, No. 2, 189-215 (2004). MSC: 76F55 60H05 76B47 76M35 82D10 PDF BibTeX XML Cite \textit{H. Bessaih} and \textit{F. Flandoli}, Math. Models Methods Appl. Sci. 14, No. 2, 189--215 (2004; Zbl 1137.76387) Full Text: DOI OpenURL
Rapoport, Diego L. Random symplectic geometry and the realizations of the random representations of the Navier-Stokes equations by ordinary differential equations. (English) Zbl 1094.37042 Random Oper. Stoch. Equ. 11, No. 4, 371-401 (2003). Reviewer: Yu. V. Kozachenko (Kyïv) MSC: 37K65 58D30 58J65 60F99 76D05 76M35 PDF BibTeX XML Cite \textit{D. L. Rapoport}, Random Oper. Stoch. Equ. 11, No. 4, 371--401 (2003; Zbl 1094.37042) Full Text: DOI OpenURL
Nualart, David; Rovira, Carles; Tindel, Samy Probabilistic models for vortex filaments based on fractional Brownian motion. (English) Zbl 1047.76013 Ann. Probab. 31, No. 4, 1862-1899 (2003). MSC: 76B47 76M35 60H05 PDF BibTeX XML Cite \textit{D. Nualart} et al., Ann. Probab. 31, No. 4, 1862--1899 (2003; Zbl 1047.76013) Full Text: DOI Euclid OpenURL
Çağlar, Mine Dispersion of mass by two-dimensional homogeneous and incompressible Çinlar flows. (English) Zbl 1107.76393 Appl. Math. Modelling 27, No. 12, 997-1011 (2003). MSC: 76R99 76M35 PDF BibTeX XML Cite \textit{M. Çağlar}, Appl. Math. Modelling 27, No. 12, 997--1011 (2003; Zbl 1107.76393) Full Text: DOI OpenURL
Cottet, Georges-Henri; Jiroveanu, Delia; Michaux, Bertrand Vorticity dynamics and turbulence models for large-eddy simulations. (English) Zbl 1044.35051 M2AN, Math. Model. Numer. Anal. 37, No. 1, 187-207 (2003). Reviewer: Thomas Sonar (Braunschweig) MSC: 35Q30 76F25 81T80 PDF BibTeX XML Cite \textit{G.-H. Cottet} et al., M2AN, Math. Model. Numer. Anal. 37, No. 1, 187--207 (2003; Zbl 1044.35051) Full Text: DOI Numdam EuDML OpenURL
Bühler, Oliver Statistical mechanics of strong and weak point vortices in a cylinder. (English) Zbl 1185.76069 Phys. Fluids 14, No. 7, Paper No. 2139, 11 p. (2002). MSC: 76-XX PDF BibTeX XML Cite \textit{O. Bühler}, Phys. Fluids 14, No. 7, Paper No. 2139, 11 p. (2002; Zbl 1185.76069) Full Text: DOI arXiv OpenURL
Rapoport, Diego L. On the geometry of the random representations for viscous fluids and a remarkable pure noise representation. (English) Zbl 1032.58020 Rep. Math. Phys. 50, No. 2, 211-250 (2002). MSC: 58J65 60H15 60J60 76M35 PDF BibTeX XML Cite \textit{D. L. Rapoport}, Rep. Math. Phys. 50, No. 2, 211--250 (2002; Zbl 1032.58020) Full Text: DOI OpenURL
Spirn, Daniel Vortex dynamics of the full time-dependent Ginzburg-Landau equations. (English) Zbl 1032.35163 Commun. Pure Appl. Math. 55, No. 5, 537-581 (2002). MSC: 35Q55 82D55 35B38 PDF BibTeX XML Cite \textit{D. Spirn}, Commun. Pure Appl. Math. 55, No. 5, 537--581 (2002; Zbl 1032.35163) Full Text: DOI OpenURL
Flandoli, Franco; Romito, Marco Partial regularity for the stochastic Navier-Stokes equations. (English) Zbl 0997.76018 Trans. Am. Math. Soc. 354, No. 6, 2207-2241 (2002). MSC: 76D06 76D05 35R60 76D03 35Q30 PDF BibTeX XML Cite \textit{F. Flandoli} and \textit{M. Romito}, Trans. Am. Math. Soc. 354, No. 6, 2207--2241 (2002; Zbl 0997.76018) Full Text: DOI OpenURL
Flandoli, Franco; Minelli, Ida Probabilistic models of vortex filaments. (English) Zbl 1001.60057 Czech. Math. J. 51, No. 4, 713-731 (2001). MSC: 60H05 60H30 76M35 76F55 PDF BibTeX XML Cite \textit{F. Flandoli} and \textit{I. Minelli}, Czech. Math. J. 51, No. 4, 713--731 (2001; Zbl 1001.60057) Full Text: DOI EuDML OpenURL
Lim, C. C. A microscopic derivation of the equilibrium energy density spectrum for barotropic turbulence on a sphere. (English) Zbl 0978.76033 Physica A 294, No. 3-4, 375-387 (2001). MSC: 76F55 86A10 PDF BibTeX XML Cite \textit{C. C. Lim}, Physica A 294, No. 3--4, 375--387 (2001; Zbl 0978.76033) Full Text: DOI OpenURL
Constantin, Peter An Eulerian-Lagrangian approach for incompressible fluids: Local theory. (English) Zbl 0997.76009 J. Am. Math. Soc. 14, No. 2, 263-278 (2001). Reviewer: Jorge Ferreira (Maringá) MSC: 76B03 35Q35 PDF BibTeX XML Cite \textit{P. Constantin}, J. Am. Math. Soc. 14, No. 2, 263--278 (2001; Zbl 0997.76009) Full Text: DOI arXiv OpenURL
Lim, C. C. Exact solutions of an energy-enstrophy theory for the barotropic vorticity equation on a rotating sphere. (English) Zbl 0971.76500 Physica A 290, No. 1-2, 131-158 (2001): erratum ibid 375, No. 1, 374 (2007). MSC: 76B47 82B05 PDF BibTeX XML Cite \textit{C. C. Lim}, Physica A 290, No. 1--2, 131--158 (2001; Zbl 0971.76500) Full Text: DOI OpenURL
Lim, C.; Montaldi, J.; Roberts, M. Relative equilibria of point vortices on the sphere. (English) Zbl 1060.37006 Physica D 148, No. 1-2, 97-135 (2001). MSC: 37B05 PDF BibTeX XML Cite \textit{C. Lim} et al., Physica D 148, No. 1--2, 97--135 (2001; Zbl 1060.37006) Full Text: DOI OpenURL
Méléard, Sylvie A trajectorial proof of the vortex method for the two-dimensional Navier-Stokes equation. (English) Zbl 1073.76543 Ann. Appl. Probab. 10, No. 4, 1197-1211 (2000). MSC: 76D06 76M23 76M35 60K40 PDF BibTeX XML Cite \textit{S. Méléard}, Ann. Appl. Probab. 10, No. 4, 1197--1211 (2000; Zbl 1073.76543) Full Text: DOI OpenURL
Lions, Pierre-Louis; Majda, Andrew Equilibrium statistical theory for nearly parallel vortex filaments. (English) Zbl 1041.76038 Commun. Pure Appl. Math. 53, No. 1, 76-142 (2000). Reviewer: Olaf Ninnemann (Berlin) MSC: 76B47 76D17 82D15 76F02 35Q30 76D05 76F55 76M35 82B21 86A05 PDF BibTeX XML Cite \textit{P.-L. Lions} and \textit{A. Majda}, Commun. Pure Appl. Math. 53, No. 1, 76--142 (2000; Zbl 1041.76038) Full Text: DOI OpenURL
Ellis, Richard S. The theory of large deviations: from Boltzmann’s 1877 calculation to equilibrium macrostates in 2D turbulence. (English) Zbl 1194.82003 Physica D 133, No. 1-4, 106-136 (1999). MSC: 82B03 60F10 60K35 76F55 76P05 PDF BibTeX XML Cite \textit{R. S. Ellis}, Physica D 133, No. 1--4, 106--136 (1999; Zbl 1194.82003) Full Text: DOI OpenURL
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. Comment on the paper “On the scaling of three-dimensional homogeneous and isotropic turbulence” by Benzi et al. (English) Zbl 0973.76561 Physica D 127, No. 1-2, 105-110 (1999). MSC: 76F05 76-05 PDF BibTeX XML Cite \textit{G. I. Barenblatt} et al., Physica D 127, No. 1--2, 105--110 (1999; Zbl 0973.76561) Full Text: DOI OpenURL
Turkington, Bruce Statistical equilibrium measures and coherent states in two-dimensional turbulence. (English) Zbl 0990.76029 Commun. Pure Appl. Math. 52, No. 7, 0781-0809 (1999). Reviewer: Marco Romito (Firenze) MSC: 76F55 76M35 PDF BibTeX XML Cite \textit{B. Turkington}, Commun. Pure Appl. Math. 52, No. 7, 0781--0809 (1999; Zbl 0990.76029) Full Text: DOI OpenURL
Brenier, Yann Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations. (English) Zbl 0910.35098 Commun. Pure Appl. Math. 52, No. 4, 411-452 (1999). Reviewer: Y.Brenier (Paris) MSC: 35Q35 76B99 PDF BibTeX XML Full Text: DOI OpenURL
Komorowski, Tomasz The parametrix method approach to diffusions in a turbulent Gaussian environment. (English) Zbl 0933.60077 Stochastic Processes Appl. 74, No. 2, 165-193 (1998). Reviewer: Jan Seidler (Praha) MSC: 60H25 60G60 76F99 PDF BibTeX XML Cite \textit{T. Komorowski}, Stochastic Processes Appl. 74, No. 2, 165--193 (1998; Zbl 0933.60077) Full Text: DOI OpenURL
Tsinober, A. Is concentrated vorticity that important? (English) Zbl 0932.76029 Eur. J. Mech., B, Fluids 17, No. 4, 421-449 (1998). MSC: 76F55 PDF BibTeX XML Cite \textit{A. Tsinober}, Eur. J. Mech., B, Fluids 17, No. 4, 421--449 (1998; Zbl 0932.76029) Full Text: DOI OpenURL
Chorin, Alexandre J.; Hald, Ole H. Analysis of Kosterlitz-Thouless transition models. (English) Zbl 0898.76013 Physica D 99, No. 4, 442-470 (1997). MSC: 76B47 76F99 82C28 82C26 PDF BibTeX XML Cite \textit{A. J. Chorin} and \textit{O. H. Hald}, Physica D 99, No. 4, 442--470 (1997; Zbl 0898.76013) Full Text: DOI OpenURL
Fannjiang, Albert; Komorowski, Tomasz A martingale approach to homogenization of unbounded random flows. (English) Zbl 0902.60028 Ann. Probab. 25, No. 4, 1872-1894 (1997). MSC: 60F17 35B27 60G44 60H10 PDF BibTeX XML Cite \textit{A. Fannjiang} and \textit{T. Komorowski}, Ann. Probab. 25, No. 4, 1872--1894 (1997; Zbl 0902.60028) Full Text: DOI OpenURL
Klyatskin, V.; Gurarie, D. Equilibrium states for quasigeostrophic flows with random topography. (English) Zbl 1039.86503 Physica D 98, No. 2-4, 466-480 (1996). MSC: 86A05 86A10 76V05 76B55 PDF BibTeX XML Cite \textit{V. Klyatskin} and \textit{D. Gurarie}, Physica D 98, No. 2--4, 466--480 (1996; Zbl 1039.86503) Full Text: DOI OpenURL
Gurarie, David Symmetries and conservation laws of two-dimensional hydrodynamics. (English) Zbl 0835.76015 Physica D 86, No. 4, 621-636 (1995). MSC: 76B99 70H99 35A30 76F99 PDF BibTeX XML Cite \textit{D. Gurarie}, Physica D 86, No. 4, 621--636 (1995; Zbl 0835.76015) Full Text: DOI OpenURL