Carlson, Elizabeth; Larios, Adam; Titi, Edriss S. Super-exponential convergence rate of a nonlinear continuous data assimilation algorithm: the 2D Navier-Stokes equation paradigm. (English) Zbl 07812573 J. Nonlinear Sci. 34, No. 2, Paper No. 37, 41 p. (2024). MSC: 35K61 35Q93 93C20 PDFBibTeX XMLCite \textit{E. Carlson} et al., J. Nonlinear Sci. 34, No. 2, Paper No. 37, 41 p. (2024; Zbl 07812573) Full Text: DOI arXiv
Höfer, Richard M.; Mecherbet, Amina; Schubert, Richard Non-existence of mean-field models for particle orientations in suspensions. (English) Zbl 1527.35284 J. Nonlinear Sci. 34, No. 1, Paper No. 3, 20 p. (2024). MSC: 35Q35 76T20 76D07 74F10 35B25 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{R. M. Höfer} et al., J. Nonlinear Sci. 34, No. 1, Paper No. 3, 20 p. (2024; Zbl 1527.35284) Full Text: DOI arXiv OA License
Zhao, Xinyu; Protas, Bartosz Systematic search for singularities in 3D Euler flows. (English) Zbl 1527.35251 J. Nonlinear Sci. 33, No. 6, Paper No. 120, 33 p. (2023). MSC: 35Q31 76B03 76B47 49M41 65K10 65M70 65M06 65N35 65L06 65T50 65Y05 65M12 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{B. Protas}, J. Nonlinear Sci. 33, No. 6, Paper No. 120, 33 p. (2023; Zbl 1527.35251) Full Text: DOI arXiv
Celik, Emine; Olson, Eric Data assimilation using time-delay nudging in the presence of Gaussian noise. (English) Zbl 1525.35184 J. Nonlinear Sci. 33, No. 6, Paper No. 110, 31 p. (2023). MSC: 35Q30 76D05 76B75 37C50 93C20 93B52 60G15 35R07 35R60 PDFBibTeX XMLCite \textit{E. Celik} and \textit{E. Olson}, J. Nonlinear Sci. 33, No. 6, Paper No. 110, 31 p. (2023; Zbl 1525.35184) Full Text: DOI arXiv
Zillinger, Christian On stability estimates for the inviscid Boussinesq equations. (English) Zbl 07752353 J. Nonlinear Sci. 33, No. 6, Paper No. 106, 38 p. (2023). Reviewer: Zhuan Ye (Xuzhou) MSC: 35Q35 35Q79 76B03 35B40 76E30 35C05 35C07 35B20 PDFBibTeX XMLCite \textit{C. Zillinger}, J. Nonlinear Sci. 33, No. 6, Paper No. 106, 38 p. (2023; Zbl 07752353) Full Text: DOI arXiv OA License
Crisan, D.; Holm, D. D.; Luesink, E.; Mensah, P. R.; Pan, W. Theoretical and computational analysis of the thermal quasi-geostrophic model. (English) Zbl 07741969 J. Nonlinear Sci. 33, No. 5, Paper No. 96, 58 p. (2023). MSC: 35Q86 35Q31 76U60 76U65 76R10 76M60 65D30 65M60 65M06 65L06 65N30 65M12 35D35 35B65 86A05 PDFBibTeX XMLCite \textit{D. Crisan} et al., J. Nonlinear Sci. 33, No. 5, Paper No. 96, 58 p. (2023; Zbl 07741969) Full Text: DOI arXiv
Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S. Global well-posedness for the thermodynamically refined passively transported nonlinear moisture dynamics with phase changes. (English) Zbl 1528.35119 J. Nonlinear Sci. 33, No. 4, Paper No. 65, 24 p. (2023). Reviewer: Roberta Bianchini (Roma) MSC: 35Q35 35Q30 35Q86 35A01 35A02 35B45 35M86 35K10 76D03 76D09 86A10 PDFBibTeX XMLCite \textit{S. Hittmeir} et al., J. Nonlinear Sci. 33, No. 4, Paper No. 65, 24 p. (2023; Zbl 1528.35119) Full Text: DOI arXiv
Wu, Jingpeng; Zhang, Xianwen Energy conservation of the DiPerna-Lions solutions to Vlasov-Maxwell systems. (English) Zbl 1516.35352 J. Nonlinear Sci. 33, No. 4, Paper No. 64, 26 p. (2023). MSC: 35Q49 35Q61 35Q83 82C40 82D10 PDFBibTeX XMLCite \textit{J. Wu} and \textit{X. Zhang}, J. Nonlinear Sci. 33, No. 4, Paper No. 64, 26 p. (2023; Zbl 1516.35352) Full Text: DOI
Guo, Zhengguang; Zhang, Zunzun; Skalák, Zdenĕk Global well-posedness and asymptotic behavior of the 3D MHD-Boussinesq equations. (English) Zbl 1517.35176 J. Nonlinear Sci. 33, No. 4, Paper No. 61, 31 p. (2023). MSC: 35Q35 76D05 76W05 35B07 35B40 35B65 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{Z. Guo} et al., J. Nonlinear Sci. 33, No. 4, Paper No. 61, 31 p. (2023; Zbl 1517.35176) Full Text: DOI
Moston-Duggan, Aaron J.; Porter, Mason A.; Lustri, Christopher J. Nanoptera in higher-order nonlinear Schrödinger equations: effects of discretization. (English) Zbl 1510.35257 J. Nonlinear Sci. 33, No. 1, Paper No. 12, 47 p. (2023). Reviewer: Jipeng Cheng (Xuzhou) MSC: 35Q51 35Q55 35Q41 35B05 35C08 35B40 35C07 35B32 65M06 35R07 PDFBibTeX XMLCite \textit{A. J. Moston-Duggan} et al., J. Nonlinear Sci. 33, No. 1, Paper No. 12, 47 p. (2023; Zbl 1510.35257) Full Text: DOI arXiv
Gibbon, John D.; Vincenzi, Dario How to extract a spectrum from hydrodynamic equations. (English) Zbl 1498.35388 J. Nonlinear Sci. 32, No. 6, Paper No. 87, 25 p. (2022). MSC: 35Q30 35Q35 37N10 76D05 76F55 35D30 PDFBibTeX XMLCite \textit{J. D. Gibbon} and \textit{D. Vincenzi}, J. Nonlinear Sci. 32, No. 6, Paper No. 87, 25 p. (2022; Zbl 1498.35388) Full Text: DOI arXiv
Larios, Adam; Rahman, Mohammad Mahabubur; Yamazaki, Kazuo Regularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and three. (English) Zbl 1498.35133 J. Nonlinear Sci. 32, No. 6, Paper No. 85, 33 p. (2022). MSC: 35B65 35B10 35K35 35K51 35K58 65M70 PDFBibTeX XMLCite \textit{A. Larios} et al., J. Nonlinear Sci. 32, No. 6, Paper No. 85, 33 p. (2022; Zbl 1498.35133) Full Text: DOI arXiv
Brandt, Felix; Disser, Karoline; Haller-Dintelmann, Robert; Hieber, Matthias Rigorous analysis and dynamics of Hibler’s sea ice model. (English) Zbl 1492.35348 J. Nonlinear Sci. 32, No. 4, Paper No. 50, 26 p. (2022). MSC: 35Q86 35K59 86A05 86A10 76U60 35A01 35A02 35B35 35B65 PDFBibTeX XMLCite \textit{F. Brandt} et al., J. Nonlinear Sci. 32, No. 4, Paper No. 50, 26 p. (2022; Zbl 1492.35348) Full Text: DOI arXiv
Himonas, A. Alexandrou; Holliman, Curtis Instability and nonuniqueness for the \(b\)-Novikov equation. (English) Zbl 1489.35238 J. Nonlinear Sci. 32, No. 4, Paper No. 46, 29 p. (2022). MSC: 35Q53 37K10 35C08 35C07 35A01 35A02 PDFBibTeX XMLCite \textit{A. A. Himonas} and \textit{C. Holliman}, J. Nonlinear Sci. 32, No. 4, Paper No. 46, 29 p. (2022; Zbl 1489.35238) Full Text: DOI
Rodrigues, Sérgio S. Semiglobal oblique projection exponential dynamical observers for nonautonomous semilinear parabolic-like equations. (English) Zbl 1478.93281 J. Nonlinear Sci. 31, No. 6, Paper No. 100, 57 p. (2021). MSC: 93C20 35K58 93B53 PDFBibTeX XMLCite \textit{S. S. Rodrigues}, J. Nonlinear Sci. 31, No. 6, Paper No. 100, 57 p. (2021; Zbl 1478.93281) Full Text: DOI arXiv
Paicu, Marius; Zhu, Ning Global regularity for the 2D MHD and tropical climate model with horizontal dissipation. (English) Zbl 1525.35201 J. Nonlinear Sci. 31, No. 6, Paper No. 99, 39 p. (2021). MSC: 35Q35 35B40 35B45 35B65 35A01 35A02 35A09 42B25 76D03 76W05 86A08 PDFBibTeX XMLCite \textit{M. Paicu} and \textit{N. Zhu}, J. Nonlinear Sci. 31, No. 6, Paper No. 99, 39 p. (2021; Zbl 1525.35201) Full Text: DOI arXiv
Ambrose, David M.; Mazzucato, Anna L. Global solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each direction. (English) Zbl 1476.35035 J. Nonlinear Sci. 31, No. 6, Paper No. 96, 26 p. (2021). MSC: 35B40 35K35 35K58 PDFBibTeX XMLCite \textit{D. M. Ambrose} and \textit{A. L. Mazzucato}, J. Nonlinear Sci. 31, No. 6, Paper No. 96, 26 p. (2021; Zbl 1476.35035) Full Text: DOI arXiv
Carlson, Elizabeth; Larios, Adam Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation. (English) Zbl 1490.35248 J. Nonlinear Sci. 31, No. 5, Paper No. 84, 30 p. (2021). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76D03 76D05 35D30 35D35 35A01 93B35 93B52 PDFBibTeX XMLCite \textit{E. Carlson} and \textit{A. Larios}, J. Nonlinear Sci. 31, No. 5, Paper No. 84, 30 p. (2021; Zbl 1490.35248) Full Text: DOI arXiv
Zillinger, Christian On the Boussinesq equations with non-monotone temperature profiles. (English) Zbl 1476.35270 J. Nonlinear Sci. 31, No. 4, Paper No. 64, 38 p. (2021). MSC: 35Q79 35Q35 76D05 35B40 35B35 80A19 PDFBibTeX XMLCite \textit{C. Zillinger}, J. Nonlinear Sci. 31, No. 4, Paper No. 64, 38 p. (2021; Zbl 1476.35270) Full Text: DOI arXiv
Holm, Darryl D. Stochastic variational formulations of fluid wave-current interaction. (English) Zbl 1464.76011 J. Nonlinear Sci. 31, No. 1, Paper No. 4, 59 p. (2021). MSC: 76B15 76U60 76M35 76M30 86A05 PDFBibTeX XMLCite \textit{D. D. Holm}, J. Nonlinear Sci. 31, No. 1, Paper No. 4, 59 p. (2021; Zbl 1464.76011) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Lai, Suhua; Wu, Jiahong; Xu, Xiaojing; Zhang, Jianwen; Zhong, Yueyuan Optimal decay estimates for 2D Boussinesq equations with partial dissipation. (English) Zbl 1462.35407 J. Nonlinear Sci. 31, No. 1, Paper No. 16, 33 p. (2021). MSC: 35Q86 35Q35 35B40 42A38 76D50 86A05 86A10 PDFBibTeX XMLCite \textit{S. Lai} et al., J. Nonlinear Sci. 31, No. 1, Paper No. 16, 33 p. (2021; Zbl 1462.35407) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Q. Jiu} et al., J. Nonlinear Sci. 31, No. 2, Paper No. 36, 24 p. (2021; Zbl 1462.35271) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
Breit, Dominic; Mensah, Prince Romeo An incompressible polymer fluid interacting with a Koiter shell. (English) Zbl 1464.76021 J. Nonlinear Sci. 31, No. 1, Paper No. 25, 56 p. (2021). MSC: 76D05 76A99 74F10 74K25 35Q35 35Q74 PDFBibTeX XMLCite \textit{D. Breit} and \textit{P. R. Mensah}, J. Nonlinear Sci. 31, No. 1, Paper No. 25, 56 p. (2021; Zbl 1464.76021) Full Text: DOI arXiv
Zhang, Yeyu; Smith, Leslie M.; Stechmann, Samuel N. Fast-wave averaging with phase changes: asymptotics and application to moist atmospheric dynamics. (English) Zbl 1468.76075 J. Nonlinear Sci. 31, No. 2, Paper No. 38, 46 p. (2021). MSC: 76U60 76T10 76M45 86A10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Nonlinear Sci. 31, No. 2, Paper No. 38, 46 p. (2021; Zbl 1468.76075) Full Text: DOI
Korn, Peter Strong solvability of a variational data assimilation problem for the primitive equations of large-scale atmosphere and Ocean dynamics. (English) Zbl 1462.35406 J. Nonlinear Sci. 31, No. 3, Paper No. 56, 53 p. (2021). MSC: 35Q86 35Q35 49J20 49N15 76D55 93C20 86A05 86A10 35D35 35B65 35A01 35A15 PDFBibTeX XMLCite \textit{P. Korn}, J. Nonlinear Sci. 31, No. 3, Paper No. 56, 53 p. (2021; Zbl 1462.35406) Full Text: DOI
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 PDFBibTeX XMLCite \textit{C. Yang}, J. Nonlinear Sci. 31, No. 3, Paper No. 48, 21 p. (2021; Zbl 1470.37080) Full Text: DOI arXiv
Paicu, Marius; Zhu, Ning On the striated regularity for the 2D anisotropic Boussinesq system. (English) Zbl 1437.35544 J. Nonlinear Sci. 30, No. 3, 1115-1164 (2020). MSC: 35Q30 76D03 76D05 35B65 42B25 35D35 PDFBibTeX XMLCite \textit{M. Paicu} and \textit{N. Zhu}, J. Nonlinear Sci. 30, No. 3, 1115--1164 (2020; Zbl 1437.35544) Full Text: DOI arXiv
Ivanov, Rossen; Lyons, Tony; Orr, Nigel Camassa-Holm cuspons, solitons and their interactions via the dressing method. (English) Zbl 1436.37088 J. Nonlinear Sci. 30, No. 1, 225-260 (2020). MSC: 37K40 37K15 35C08 PDFBibTeX XMLCite \textit{R. Ivanov} et al., J. Nonlinear Sci. 30, No. 1, 225--260 (2020; Zbl 1436.37088) Full Text: DOI arXiv
Giannakis, Dimitrios; Ourmazd, Abbas; Slawinska, Joanna; Zhao, Zhizhen Spatiotemporal pattern extraction by spectral analysis of vector-valued observables. (English) Zbl 1428.37084 J. Nonlinear Sci. 29, No. 5, 2385-2445 (2019); correction ibid. 30, No. 2, 711 (2020). Reviewer: Mohammad Sajid (Buraidah) MSC: 37M25 28B05 37M10 47B34 PDFBibTeX XMLCite \textit{D. Giannakis} et al., J. Nonlinear Sci. 29, No. 5, 2385--2445 (2019; Zbl 1428.37084) Full Text: DOI arXiv
La, Joonhyun Global well-posedness of strong solutions of Doi model with large viscous stress. (English) Zbl 1428.35368 J. Nonlinear Sci. 29, No. 5, 1891-1917 (2019). MSC: 35Q35 76A99 PDFBibTeX XMLCite \textit{J. La}, J. Nonlinear Sci. 29, No. 5, 1891--1917 (2019; Zbl 1428.35368) Full Text: DOI arXiv
Farhat, Aseel; Grujić, Zoran Local near-Beltrami structure and depletion of the nonlinearity in the 3D Navier-Stokes flows. (English) Zbl 1423.35294 J. Nonlinear Sci. 29, No. 2, 803-812 (2019). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 35B65 76D03 76D05 76F06 PDFBibTeX XMLCite \textit{A. Farhat} and \textit{Z. Grujić}, J. Nonlinear Sci. 29, No. 2, 803--812 (2019; Zbl 1423.35294) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Dong, Bo-Qing; Wu, Jiahong; Ye, Zhuan Global regularity for a 2D tropical climate model with fractional dissipation. (English) Zbl 1415.86028 J. Nonlinear Sci. 29, No. 2, 511-550 (2019). MSC: 86A10 35Q86 35Q35 35D35 35B65 76D03 35R11 PDFBibTeX XMLCite \textit{B.-Q. Dong} et al., J. Nonlinear Sci. 29, No. 2, 511--550 (2019; Zbl 1415.86028) Full Text: DOI
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 PDFBibTeX XMLCite \textit{C. Bardos} et al., J. Nonlinear Sci. 29, No. 2, 501--510 (2019; Zbl 1420.35202) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Holm, Darryl D. Stochastic parametrization of the Richardson triple. (English) Zbl 1411.76036 J. Nonlinear Sci. 29, No. 1, 89-113 (2019). MSC: 76F20 37N10 37J15 60H10 PDFBibTeX XMLCite \textit{D. D. Holm}, J. Nonlinear Sci. 29, No. 1, 89--113 (2019; Zbl 1411.76036) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{T. D. Drivas}, J. Nonlinear Sci. 29, No. 1, 65--88 (2019; Zbl 1420.35207) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{P. Constantin} and \textit{V. Vicol}, J. Nonlinear Sci. 28, No. 2, 711--724 (2018; Zbl 1384.35057) Full Text: DOI arXiv
Di Plinio, Francesco; Giorgini, Andrea; Pata, Vittorino; Temam, Roger Navier-Stokes-Voigt equations with memory in 3D lacking instantaneous kinematic viscosity. (English) Zbl 1384.35059 J. Nonlinear Sci. 28, No. 2, 653-686 (2018). MSC: 35Q30 35B40 37L30 45K05 PDFBibTeX XMLCite \textit{F. Di Plinio} et al., J. Nonlinear Sci. 28, No. 2, 653--686 (2018; Zbl 1384.35059) Full Text: DOI arXiv
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed Localized anisotropic regularity conditions for the Navier-Stokes equations. (English) Zbl 1379.35213 J. Nonlinear Sci. 27, No. 6, 1725-1742 (2017). MSC: 35Q30 35B65 76D05 PDFBibTeX XMLCite \textit{I. Kukavica} et al., J. Nonlinear Sci. 27, No. 6, 1725--1742 (2017; Zbl 1379.35213) Full Text: DOI
Foias, Ciprian; Jolly, Michael S.; Lithio, Dan; Titi, Edriss S. One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations. (English) Zbl 1379.35211 J. Nonlinear Sci. 27, No. 5, 1513-1529 (2017). MSC: 35Q30 76F02 35B41 PDFBibTeX XMLCite \textit{C. Foias} et al., J. Nonlinear Sci. 27, No. 5, 1513--1529 (2017; Zbl 1379.35211) Full Text: DOI arXiv
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone. (English) Zbl 1365.35108 J. Nonlinear Sci. 27, No. 3, 1065-1087 (2017). MSC: 35Q30 93C20 37C50 76B75 34D06 PDFBibTeX XMLCite \textit{A. Farhat} et al., J. Nonlinear Sci. 27, No. 3, 1065--1087 (2017; Zbl 1365.35108) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Rocca, Elisabetta; Scala, Riccardo A rigorous sharp interface limit of a diffuse interface model related to tumor growth. (English) Zbl 1370.92076 J. Nonlinear Sci. 27, No. 3, 847-872 (2017). Reviewer: Andrzej Świerniak (Gliwice) MSC: 92C50 82B24 82B21 49J40 92C17 35K57 35R11 PDFBibTeX XMLCite \textit{E. Rocca} and \textit{R. Scala}, J. Nonlinear Sci. 27, No. 3, 847--872 (2017; Zbl 1370.92076) Full Text: DOI arXiv
Cotter, C. J.; Eldering, J.; Holm, D. D.; Jacobs, H. O.; Meier, D. M. Weak dual pairs and jetlet methods for ideal incompressible fluid models in \(n \geq 2\) dimensions. (English) Zbl 1368.37076 J. Nonlinear Sci. 26, No. 6, 1723-1765 (2016). Reviewer: Kai Schneider (Marseille) MSC: 37K05 35Q35 65P10 76B10 PDFBibTeX XMLCite \textit{C. J. Cotter} et al., J. Nonlinear Sci. 26, No. 6, 1723--1765 (2016; Zbl 1368.37076) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{T. Gotoda} and \textit{T. Sakajo}, J. Nonlinear Sci. 26, No. 5, 1525--1570 (2016; Zbl 1349.76042) Full Text: DOI
Alexandrou Himonas, A.; Grayshan, Katelyn; Holliman, Curtis Ill-posedness for the \(b\)-family of equations. (English) Zbl 1356.37079 J. Nonlinear Sci. 26, No. 5, 1175-1190 (2016). Reviewer: Bangti Jin (London) MSC: 37K10 37K40 47J06 65N20 PDFBibTeX XMLCite \textit{A. Alexandrou Himonas} et al., J. Nonlinear Sci. 26, No. 5, 1175--1190 (2016; Zbl 1356.37079) Full Text: DOI
Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum. (English) Zbl 1311.35236 J. Nonlinear Sci. 25, No. 1, 157-192 (2015). MSC: 35Q35 35B35 35B65 76D03 76W05 35Q86 86A10 76E06 PDFBibTeX XMLCite \textit{J. Wu} et al., J. Nonlinear Sci. 25, No. 1, 157--192 (2015; Zbl 1311.35236) Full Text: DOI
Ju, Ning; Temam, Roger Finite dimensions of the global attractor for 3D primitive equations with viscosity. (English) Zbl 1311.35223 J. Nonlinear Sci. 25, No. 1, 131-155 (2015). MSC: 35Q35 35B41 65M70 86A05 28A80 35B65 80A20 PDFBibTeX XMLCite \textit{N. Ju} and \textit{R. Temam}, J. Nonlinear Sci. 25, No. 1, 131--155 (2015; Zbl 1311.35223) Full Text: DOI arXiv
Jiu, Quansen; Wu, Jiahong; Yang, Wanrong Eventual regularity of the two-dimensional Boussinesq equations with supercritical dissipation. (English) Zbl 1311.35221 J. Nonlinear Sci. 25, No. 1, 37-58 (2015). MSC: 35Q35 76D03 35B65 35D30 26A33 PDFBibTeX XMLCite \textit{Q. Jiu} et al., J. Nonlinear Sci. 25, No. 1, 37--58 (2015; Zbl 1311.35221) Full Text: DOI
Himonas, A. Alexandrou; Mantzavinos, Dionyssios Hölder continuity for the Fokas-Olver-Rosenau-Qiao equation. (English) Zbl 1309.35109 J. Nonlinear Sci. 24, No. 6, 1105-1124 (2014). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{A. A. Himonas} and \textit{D. Mantzavinos}, J. Nonlinear Sci. 24, No. 6, 1105--1124 (2014; Zbl 1309.35109) Full Text: DOI
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 PDFBibTeX XMLCite \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
Biswas, A.; Jolly, M. S.; Martinez, V. R.; Titi, E. S. Dissipation length scale estimates for turbulent flows: a Wiener algebra approach. (English) Zbl 1300.35066 J. Nonlinear Sci. 24, No. 3, 441-471 (2014). MSC: 35Q30 76F02 76D05 PDFBibTeX XMLCite \textit{A. Biswas} et al., J. Nonlinear Sci. 24, No. 3, 441--471 (2014; Zbl 1300.35066) Full Text: DOI arXiv
Azouani, Abderrahim; Olson, Eric; Titi, Edriss S. Continuous data assimilation using general interpolant observables. (English) Zbl 1291.35168 J. Nonlinear Sci. 24, No. 2, 277-304 (2014). MSC: 35Q30 93C20 37C50 76B75 34D06 PDFBibTeX XMLCite \textit{A. Azouani} et al., J. Nonlinear Sci. 24, No. 2, 277--304 (2014; Zbl 1291.35168) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{N. V. Chemetov} and \textit{F. Cipriano}, J. Nonlinear Sci. 23, No. 5, 731--750 (2013; Zbl 1276.35126) Full Text: DOI
Han, Yanwu; Guo, Fei; Gao, Hongjun On solitary waves and wave-breaking phenomena for a generalized two-component integrable Dullin-Gottwald-Holm system. (English) Zbl 1271.35007 J. Nonlinear Sci. 23, No. 4, 617-656 (2013). MSC: 35B44 35C07 35D35 35L45 35Q35 PDFBibTeX XMLCite \textit{Y. Han} et al., J. Nonlinear Sci. 23, No. 4, 617--656 (2013; Zbl 1271.35007) Full Text: DOI
Häcker, Tobias; Schneider, Guido; Zimmermann, Dominik Justification of the Ginzburg-Landau approximation in case of marginally stable long waves. (English) Zbl 1209.35010 J. Nonlinear Sci. 21, No. 1, 93-113 (2011). MSC: 35A35 35C20 76M45 PDFBibTeX XMLCite \textit{T. Häcker} et al., J. Nonlinear Sci. 21, No. 1, 93--113 (2011; Zbl 1209.35010) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Holst} et al., J. Nonlinear Sci. 20, No. 5, 523--567 (2010; Zbl 1207.35241) Full Text: DOI arXiv
Bakri, Taoufik; Meijer, Hil G. E.; Verhulst, Ferdinand Emergence and bifurcations of Lyapunov manifolds in nonlinear wave equations. (English) Zbl 1186.37058 J. Nonlinear Sci. 19, No. 5, 571-596 (2009). Reviewer: Denis Sidorov (Irkutsk) MSC: 37G15 35L70 35B32 74J30 PDFBibTeX XMLCite \textit{T. Bakri} et al., J. Nonlinear Sci. 19, No. 5, 571--596 (2009; Zbl 1186.37058) Full Text: DOI
Kalantarov, Varga K.; Levant, Boris; Titi, Edriss S. Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations. (English) Zbl 1177.35152 J. Nonlinear Sci. 19, No. 2, 133-152 (2009). MSC: 35Q30 35B40 35B41 76F20 76F55 35P05 PDFBibTeX XMLCite \textit{V. K. Kalantarov} et al., J. Nonlinear Sci. 19, No. 2, 133--152 (2009; Zbl 1177.35152) Full Text: DOI arXiv
Carrillo, J. A.; Soler, J. On the evolution of an angle in a vortex patch. (English) Zbl 0972.76015 J. Nonlinear Sci. 10, No. 1, 23-47 (2000). MSC: 76B47 76M45 35Q35 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{J. Soler}, J. Nonlinear Sci. 10, No. 1, 23--47 (2000; Zbl 0972.76015) Full Text: DOI
Doelman, A.; Rottschäfer, V. Singularly perturbed and nonlocal modulation equations for systems with interacting instability mechanisms. (English) Zbl 0885.58075 J. Nonlinear Sci. 7, No. 4, 371-409 (1997). Reviewer: J.Andres (Olomouc) MSC: 37J40 PDFBibTeX XMLCite \textit{A. Doelman} and \textit{V. Rottschäfer}, J. Nonlinear Sci. 7, No. 4, 371--409 (1997; Zbl 0885.58075) Full Text: DOI
Lin, D. C. Statistical decomposition of chaotic attractors by the eigenvectors of Oseledec matrix – Active and passive information dynamics. (English) Zbl 0820.58047 J. Nonlinear Sci. 5, No. 2, 131-166 (1995). MSC: 37A30 37D45 37D99 PDFBibTeX XMLCite \textit{D. C. Lin}, J. Nonlinear Sci. 5, No. 2, 131--166 (1995; Zbl 0820.58047) Full Text: DOI
Graham, M. D.; Steen, P. H.; Titi, E. S. Computational efficiency and approximate inertial manifolds for a Bénard convection system. (English) Zbl 0803.65122 J. Nonlinear Sci. 3, No. 2, 153-167 (1993). Reviewer: E.Schechter (Kaiserslautern) MSC: 65Z05 65M60 76S05 35Q55 PDFBibTeX XMLCite \textit{M. D. Graham} et al., J. Nonlinear Sci. 3, No. 2, 153--167 (1993; Zbl 0803.65122) Full Text: DOI
Aubry, N.; Guyonnet, R.; Lima, R. Spatio-temporal symmetries and bifurcations via bi-orthogonal decompositions. (English) Zbl 0884.58071 J. Nonlinear Sci. 2, No. 2, 183-215 (1992). MSC: 37G99 94A12 PDFBibTeX XMLCite \textit{N. Aubry} et al., J. Nonlinear Sci. 2, No. 2, 183--215 (1992; Zbl 0884.58071) Full Text: DOI