Granero-Belinchón, Rafael; Ortega, Alejandro On the motion of gravity-capillary waves with odd viscosity. (English) Zbl 07502704 J. Nonlinear Sci. 32, No. 3, Paper No. 28, 33 p. (2022). MSC: 35Q35 35L75 35Q35 35Q31 35S10 35R35 76D03 PDF BibTeX XML Cite \textit{R. Granero-Belinchón} and \textit{A. Ortega}, J. Nonlinear Sci. 32, No. 3, Paper No. 28, 33 p. (2022; Zbl 07502704) Full Text: DOI OpenURL
Fernandes, A. C.; Vidal, Claudio Stacked central configurations in the 5-vortex problem. (English) Zbl 1473.76012 J. Nonlinear Sci. 31, No. 5, Paper No. 83, 22 p. (2021). MSC: 76B47 35Q31 PDF BibTeX XML Cite \textit{A. C. Fernandes} and \textit{C. Vidal}, J. Nonlinear Sci. 31, No. 5, Paper No. 83, 22 p. (2021; Zbl 1473.76012) Full Text: DOI OpenURL
Lushnikov, Pavel M.; Silantyev, Denis A.; Siegel, Michael Collapse versus blow-up and global existence in the generalized Constantin-Lax-Majda equation. (English) Zbl 1479.35684 J. Nonlinear Sci. 31, No. 5, Paper No. 82, 56 p. (2021). MSC: 35Q35 35Q31 35Q53 76B03 76A05 35B44 35C06 35A01 PDF BibTeX XML Cite \textit{P. M. Lushnikov} et al., J. Nonlinear Sci. 31, No. 5, Paper No. 82, 56 p. (2021; Zbl 1479.35684) Full Text: DOI arXiv OpenURL
Chae, Dongho; Constantin, Peter Remarks on type I blow-up for the 3D Euler equations and the 2D Boussinesq equations. (English) Zbl 1476.35184 J. Nonlinear Sci. 31, No. 5, Paper No. 77, 16 p. (2021). MSC: 35Q31 76B03 35B44 PDF BibTeX XML Cite \textit{D. Chae} and \textit{P. Constantin}, J. Nonlinear Sci. 31, No. 5, Paper No. 77, 16 p. (2021; Zbl 1476.35184) Full Text: DOI arXiv OpenURL
García, Claudia Vortex patches choreography for active scalar equations. (English) Zbl 1476.35187 J. Nonlinear Sci. 31, No. 5, Paper No. 75, 31 p. (2021). MSC: 35Q31 35Q86 76B47 PDF BibTeX XML Cite \textit{C. García}, J. Nonlinear Sci. 31, No. 5, Paper No. 75, 31 p. (2021; Zbl 1476.35187) Full Text: DOI arXiv OpenURL
Flandoli, Franco; Pappalettera, Umberto 2D Euler equations with Stratonovich transport noise as a large-scale stochastic model reduction. (English) Zbl 1466.76010 J. Nonlinear Sci. 31, No. 1, Paper No. 24, 39 p. (2021). MSC: 76B03 76M35 35Q31 PDF BibTeX XML Cite \textit{F. Flandoli} and \textit{U. Pappalettera}, J. Nonlinear Sci. 31, No. 1, Paper No. 24, 39 p. (2021; Zbl 1466.76010) Full Text: DOI arXiv OpenURL
Jiu, Quansen; Liu, Jitao; Niu, Dongjuan Global existence of weak solutions to the incompressible axisymmetric Euler equations without swirl. (English) Zbl 1462.35271 J. Nonlinear Sci. 31, No. 2, Paper No. 36, 24 p. (2021). MSC: 35Q31 76B03 76B47 35D30 35B07 35B65 PDF BibTeX XML Cite \textit{Q. Jiu} et al., J. Nonlinear Sci. 31, No. 2, Paper No. 36, 24 p. (2021; Zbl 1462.35271) Full Text: DOI arXiv OpenURL
Abbatiello, Anna; Feireisl, Eduard On strong continuity of weak solutions to the compressible Euler system. (English) Zbl 1462.35257 J. Nonlinear Sci. 31, No. 2, Paper No. 33, 16 p. (2021). MSC: 35Q31 35D30 35A02 76N10 76B03 PDF BibTeX XML Cite \textit{A. Abbatiello} and \textit{E. Feireisl}, J. Nonlinear Sci. 31, No. 2, Paper No. 33, 16 p. (2021; Zbl 1462.35257) Full Text: DOI arXiv OpenURL
Holm, Darryl D.; Luesink, Erwin Stochastic wave-current interaction in thermal shallow water dynamics. (English) Zbl 1468.76014 J. Nonlinear Sci. 31, No. 2, Paper No. 29, 56 p. (2021). MSC: 76B15 76M35 76M45 80A19 PDF BibTeX XML Cite \textit{D. D. Holm} and \textit{E. Luesink}, J. Nonlinear Sci. 31, No. 2, Paper No. 29, 56 p. (2021; Zbl 1468.76014) Full Text: DOI arXiv OpenURL
Müller, Andreas On the Hamel coefficients and the Boltzmann-Hamel equations for the rigid body. (English) Zbl 1466.37051 J. Nonlinear Sci. 31, No. 2, Paper No. 40, 39 p. (2021). MSC: 37J60 37J39 70E60 70G45 70G65 70H33 37N05 70H03 53Z30 PDF BibTeX XML Cite \textit{A. Müller}, J. Nonlinear Sci. 31, No. 2, Paper No. 40, 39 p. (2021; Zbl 1466.37051) Full Text: DOI OpenURL
Yang, Cheng Vortex motion of the Euler and lake equations. (English) Zbl 1470.37080 J. Nonlinear Sci. 31, No. 3, Paper No. 48, 21 p. (2021). Reviewer: Xiang Yu (Chengdu) MSC: 37J35 37J30 37N05 70F10 PDF BibTeX XML Cite \textit{C. Yang}, J. Nonlinear Sci. 31, No. 3, Paper No. 48, 21 p. (2021; Zbl 1470.37080) Full Text: DOI arXiv OpenURL
Ciampa, Gennaro; Crippa, Gianluca; Spirito, Stefano Weak solutions obtained by the vortex method for the 2D Euler equations are Lagrangian and conserve the energy. (English) Zbl 1467.35256 J. Nonlinear Sci. 30, No. 6, 2787-2820 (2020). Reviewer: Yongqian Zhang (Shanghai) MSC: 35Q35 35Q31 35D30 35F55 76B47 PDF BibTeX XML Cite \textit{G. Ciampa} et al., J. Nonlinear Sci. 30, No. 6, 2787--2820 (2020; Zbl 1467.35256) Full Text: DOI arXiv OpenURL
Seguin, Brian; Chen, Yi-chao; Fried, Eliot Closed unstretchable knotless ribbons and the Wunderlich functional. (English) Zbl 1464.74061 J. Nonlinear Sci. 30, No. 6, 2577-2611 (2020). MSC: 74G65 74B99 PDF BibTeX XML Cite \textit{B. Seguin} et al., J. Nonlinear Sci. 30, No. 6, 2577--2611 (2020; Zbl 1464.74061) Full Text: DOI OpenURL
Pinzari, Gabriella Perihelion librations in the secular three-body problem. (English) Zbl 1453.70006 J. Nonlinear Sci. 30, No. 4, 1771-1808 (2020). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F10 70F15 34C20 34D10 37J25 37J35 37J40 PDF BibTeX XML Cite \textit{G. Pinzari}, J. Nonlinear Sci. 30, No. 4, 1771--1808 (2020; Zbl 1453.70006) Full Text: DOI arXiv OpenURL
Drivas, Theodore D.; Nguyen, Huy Q. Remarks on the emergence of weak Euler solutions in the vanishing viscosity limit. (English) Zbl 1448.76050 J. Nonlinear Sci. 29, No. 2, 709-721 (2019). MSC: 76D03 76B03 35Q30 35Q31 PDF BibTeX XML Cite \textit{T. D. Drivas} and \textit{H. Q. Nguyen}, J. Nonlinear Sci. 29, No. 2, 709--721 (2019; Zbl 1448.76050) Full Text: DOI arXiv OpenURL
Bardos, Claude; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Titi, Edriss S.; Wiedemann, Emil On the extension of Onsager’s conjecture for general conservation laws. (English) Zbl 1420.35202 J. Nonlinear Sci. 29, No. 2, 501-510 (2019). MSC: 35Q31 35B33 76D05 PDF BibTeX XML Cite \textit{C. Bardos} et al., J. Nonlinear Sci. 29, No. 2, 501--510 (2019; Zbl 1420.35202) Full Text: DOI arXiv OpenURL
Nguyen, Quoc-Hung; Nguyen, Phuoc-Tai Onsager’s conjecture on the energy conservation for solutions of Euler equations in bounded domains. (English) Zbl 1415.35225 J. Nonlinear Sci. 29, No. 1, 207-213 (2019). MSC: 35Q31 76B03 PDF BibTeX XML Cite \textit{Q.-H. Nguyen} and \textit{P.-T. Nguyen}, J. Nonlinear Sci. 29, No. 1, 207--213 (2019; Zbl 1415.35225) Full Text: DOI arXiv OpenURL
Drivas, Theodore D. Turbulent cascade direction and Lagrangian time-asymmetry. (English) Zbl 1420.35207 J. Nonlinear Sci. 29, No. 1, 65-88 (2019). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35Q31 76F02 76D05 35Q30 PDF BibTeX XML Cite \textit{T. D. Drivas}, J. Nonlinear Sci. 29, No. 1, 65--88 (2019; Zbl 1420.35207) Full Text: DOI arXiv OpenURL
Zlatoš, Andrej On the rate of merging of vorticity level sets for the 2D Euler equations. (English) Zbl 1403.35223 J. Nonlinear Sci. 28, No. 6, 2329-2341 (2018). MSC: 35Q31 PDF BibTeX XML Cite \textit{A. Zlatoš}, J. Nonlinear Sci. 28, No. 6, 2329--2341 (2018; Zbl 1403.35223) Full Text: DOI arXiv OpenURL
Hou, Thomas Y.; Jin, Tianling; Liu, Pengfei Potential singularity for a family of models of the axisymmetric incompressible flow. (English) Zbl 1405.35150 J. Nonlinear Sci. 28, No. 6, 2217-2247 (2018). MSC: 35Q31 35Q30 76D05 35B65 35B07 PDF BibTeX XML Cite \textit{T. Y. Hou} et al., J. Nonlinear Sci. 28, No. 6, 2217--2247 (2018; Zbl 1405.35150) Full Text: DOI OpenURL
Do, Tam; Kiselev, Alexander; Xu, Xiaoqian Stability of blowup for a 1D model of axisymmetric 3D Euler equation. (English) Zbl 1406.35249 J. Nonlinear Sci. 28, No. 6, 2127-2152 (2018). MSC: 35Q31 35B35 35B44 76D05 35B07 PDF BibTeX XML Cite \textit{T. Do} et al., J. Nonlinear Sci. 28, No. 6, 2127--2152 (2018; Zbl 1406.35249) Full Text: DOI arXiv OpenURL
Gay-Balmaz, François; Holm, Darryl D. Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows. (English) Zbl 1431.37068 J. Nonlinear Sci. 28, No. 3, 873-904 (2018). Reviewer: Božidar Jovanović (Beograd) MSC: 37N10 37K25 37H10 60H15 70G45 86A05 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} and \textit{D. D. Holm}, J. Nonlinear Sci. 28, No. 3, 873--904 (2018; Zbl 1431.37068) Full Text: DOI arXiv Link OpenURL
Constantin, Peter; Vicol, Vlad Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. (English) Zbl 1384.35057 J. Nonlinear Sci. 28, No. 2, 711-724 (2018). MSC: 35Q30 35Q31 PDF BibTeX XML Cite \textit{P. Constantin} and \textit{V. Vicol}, J. Nonlinear Sci. 28, No. 2, 711--724 (2018; Zbl 1384.35057) Full Text: DOI arXiv OpenURL
Arnaudon, Alexis; De Castro, Alex Lucio; Holm, Darryl D. Noise and dissipation on coadjoint orbits. (English) Zbl 1384.37063 J. Nonlinear Sci. 28, No. 1, 91-145 (2018). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37H10 37J15 60H10 53D20 70G65 PDF BibTeX XML Cite \textit{A. Arnaudon} et al., J. Nonlinear Sci. 28, No. 1, 91--145 (2018; Zbl 1384.37063) Full Text: DOI arXiv OpenURL
Sperone, Gianmarco Further remarks on the Luo-Hou’s ansatz for a self-similar solution to the 3D Euler equations. (English) Zbl 1379.35229 J. Nonlinear Sci. 27, No. 5, 1325-1338 (2017). MSC: 35Q31 35C06 76B03 35B44 35N25 PDF BibTeX XML Cite \textit{G. Sperone}, J. Nonlinear Sci. 27, No. 5, 1325--1338 (2017; Zbl 1379.35229) 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
Gotoda, Takeshi; Sakajo, Takashi Distributional enstrophy dissipation via the collapse of three point vortices. (English) Zbl 1349.76042 J. Nonlinear Sci. 26, No. 5, 1525-1570 (2016). MSC: 76B47 76F20 35Q31 70F07 PDF BibTeX XML Cite \textit{T. Gotoda} and \textit{T. Sakajo}, J. Nonlinear Sci. 26, No. 5, 1525--1570 (2016; Zbl 1349.76042) Full Text: DOI OpenURL
Chae, Dongho; Tsai, Tai-Peng Remark on Luo-Hou’s ansatz for a self-similar solution to the 3D Euler equations. (English) Zbl 1364.35248 J. Nonlinear Sci. 25, No. 1, 193-202 (2015). MSC: 35Q31 76B03 76W05 35B44 35C06 PDF BibTeX XML Cite \textit{D. Chae} and \textit{T.-P. Tsai}, J. Nonlinear Sci. 25, No. 1, 193--202 (2015; Zbl 1364.35248) Full Text: DOI arXiv OpenURL
Bauer, Martin; Bruveris, Martins; Michor, Peter W. Homogeneous Sobolev metric of order one on diffeomorphism groups on real line. (English) Zbl 1309.35064 J. Nonlinear Sci. 24, No. 5, 769-808 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q31 58B20 58D05 PDF BibTeX XML Cite \textit{M. Bauer} et al., J. Nonlinear Sci. 24, No. 5, 769--808 (2014; Zbl 1309.35064) Full Text: DOI arXiv OpenURL
Gal, Ciprian G.; Medjo, T. Tachim On a regularized family of models for homogeneous incompressible two-phase flows. (English) Zbl 1317.35172 J. Nonlinear Sci. 24, No. 6, 1033-1103 (2014). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35Q30 35Q31 35K58 35K59 37L30 35B41 76D05 76T10 35B65 PDF BibTeX XML Cite \textit{C. G. Gal} and \textit{T. T. Medjo}, J. Nonlinear Sci. 24, No. 6, 1033--1103 (2014; Zbl 1317.35172) Full Text: DOI arXiv OpenURL
Benzoni-Gavage, S.; Noble, P.; Rodrigues, L. M. Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids. (English) Zbl 1308.35021 J. Nonlinear Sci. 24, No. 4, 711-768 (2014). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35B10 35B35 35Q35 35Q51 35Q53 37K05 37K45 35C07 PDF BibTeX XML Cite \textit{S. Benzoni-Gavage} et al., J. Nonlinear Sci. 24, No. 4, 711--768 (2014; Zbl 1308.35021) Full Text: DOI arXiv OpenURL
Hoefer, M. A. Shock waves in dispersive Eulerian fluids. (English) Zbl 1302.76094 J. Nonlinear Sci. 24, No. 3, 525-577 (2014). MSC: 76L05 35Q31 35B40 35L65 35L67 35Q55 PDF BibTeX XML Cite \textit{M. A. Hoefer}, J. Nonlinear Sci. 24, No. 3, 525--577 (2014; Zbl 1302.76094) Full Text: DOI arXiv OpenURL
Gibbon, John D.; Titi, Edriss S. The 3D incompressible Euler equations with a passive scalar: a road to blow-up? (English) Zbl 1292.35216 J. Nonlinear Sci. 23, No. 6, 993-1000 (2013). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q31 35B44 76B03 PDF BibTeX XML Cite \textit{J. D. Gibbon} and \textit{E. S. Titi}, J. Nonlinear Sci. 23, No. 6, 993--1000 (2013; Zbl 1292.35216) Full Text: DOI arXiv OpenURL
Chemetov, N. V.; Cipriano, F. The inviscid limit for the Navier-Stokes equations with slip condition on permeable walls. (English) Zbl 1276.35126 J. Nonlinear Sci. 23, No. 5, 731-750 (2013). MSC: 35Q30 76D05 76B47 76D09 PDF BibTeX XML Cite \textit{N. V. Chemetov} and \textit{F. Cipriano}, J. Nonlinear Sci. 23, No. 5, 731--750 (2013; Zbl 1276.35126) Full Text: DOI OpenURL
Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media. (English) Zbl 1259.35157 J. Nonlinear Sci. 22, No. 6, 985-1012 (2012). MSC: 35Q30 35Q31 35B25 PDF BibTeX XML Cite \textit{D. Donatelli} et al., J. Nonlinear Sci. 22, No. 6, 985--1012 (2012; Zbl 1259.35157) Full Text: DOI arXiv OpenURL
Chae, Dongho; Constantin, Peter; Wu, Jiahong Deformation and symmetry in the inviscid SQG and the 3D Euler equations. (English) Zbl 1253.35109 J. Nonlinear Sci. 22, No. 5, 665-688 (2012). MSC: 35Q31 35B35 35B65 76D03 PDF BibTeX XML Cite \textit{D. Chae} et al., J. Nonlinear Sci. 22, No. 5, 665--688 (2012; Zbl 1253.35109) Full Text: DOI OpenURL
Holm, Darryl D.; Ivanov, Rossen I.; Percival, James R. \(G\)-strands. (English) Zbl 1339.37048 J. Nonlinear Sci. 22, No. 4, 517-551 (2012). MSC: 37K05 37K65 70H25 70H03 37M05 PDF BibTeX XML Cite \textit{D. D. Holm} et al., J. Nonlinear Sci. 22, No. 4, 517--551 (2012; Zbl 1339.37048) Full Text: DOI arXiv OpenURL
Lopes Filho, Milton C.; Miot, Evelyne; Nussenzveig Lopes, Helena J. Existence of a weak solution in \(L ^{p }\) to the vortex-wave system. (English) Zbl 1226.76005 J. Nonlinear Sci. 21, No. 5, 685-703 (2011). MSC: 76B03 35Q31 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., J. Nonlinear Sci. 21, No. 5, 685--703 (2011; Zbl 1226.76005) Full Text: DOI OpenURL
Holst, Michael; Lunasin, Evelyn; Tsogtgerel, Gantumur Analysis of a general family of regularized Navier-Stokes and MHD models. (English) Zbl 1207.35241 J. Nonlinear Sci. 20, No. 5, 523-567 (2010). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q30 76D03 76F20 76F55 76F65 76W05 PDF BibTeX XML Cite \textit{M. Holst} et al., J. Nonlinear Sci. 20, No. 5, 523--567 (2010; Zbl 1207.35241) Full Text: DOI arXiv OpenURL
Hou, Thomas Y.; Li, Ruo Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations. (English) Zbl 1370.76015 J. Nonlinear Sci. 16, No. 6, 639-664 (2006). MSC: 76B03 35B40 35L45 35Q31 76B47 76M22 PDF BibTeX XML Cite \textit{T. Y. Hou} and \textit{R. Li}, J. Nonlinear Sci. 16, No. 6, 639--664 (2006; Zbl 1370.76015) Full Text: DOI arXiv Link OpenURL
Calini, A.; Ivey, T. Finite-gap solutions of the vortex filament equation: genus one solutions and symmetric solutions. (English) Zbl 1106.35092 J. Nonlinear Sci. 15, No. 5, 321-361 (2005). MSC: 35Q55 37K20 76B47 14H70 PDF BibTeX XML Cite \textit{A. Calini} and \textit{T. Ivey}, J. Nonlinear Sci. 15, No. 5, 321--361 (2005; Zbl 1106.35092) Full Text: DOI Link OpenURL
Slemrod, M.; Sternberg, N. Quasi-neutral limit for Euler-Poisson system. (English) Zbl 0997.34033 J. Nonlinear Sci. 11, No. 3, 193-209 (2001). Reviewer: P.Smith (Keele) MSC: 34C29 34C28 34C60 78A35 82D10 PDF BibTeX XML Cite \textit{M. Slemrod} and \textit{N. Sternberg}, J. Nonlinear Sci. 11, No. 3, 193--209 (2001; Zbl 0997.34033) OpenURL
Domokos, G.; Holmes, P.; Royce, B. Constrained Euler buckling. (English) Zbl 0876.34047 J. Nonlinear Sci. 7, No. 3, 281-314 (1997). Reviewer: D.M.Bors (Iaşi) MSC: 34C23 74K10 34B15 37G99 74G60 34A12 PDF BibTeX XML Cite \textit{G. Domokos} et al., J. Nonlinear Sci. 7, No. 3, 281--314 (1997; Zbl 0876.34047) Full Text: DOI OpenURL
Domokos, G.; Holmes, P. Euler’s problem, Euler’s method, and the standard map; or, the discrete charm of buckling. (English) Zbl 0797.34041 J. Nonlinear Sci. 3, No. 1, 109-151 (1993); erratum 3, No. 2, 267 (1993). Reviewer: B.Werner (Hamburg) MSC: 34C23 37-XX PDF BibTeX XML Cite \textit{G. Domokos} and \textit{P. Holmes}, J. Nonlinear Sci. 3, No. 1, 109--151 (1993; Zbl 0797.34041) Full Text: DOI OpenURL