Owhadi, H. Gaussian process hydrodynamics. (English) Zbl 1516.35310 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 7, 1175-1198 (2023). MSC: 35Q30 76D05 60G15 65M75 65N75 65N35 47B34 41A15 34B15 PDFBibTeX XMLCite \textit{H. Owhadi}, AMM, Appl. Math. Mech., Engl. Ed. 44, No. 7, 1175--1198 (2023; Zbl 1516.35310) Full Text: DOI arXiv
Agazzi, Andrea; Mattingly, Jonathan C.; Melikechi, Omar Random splitting of fluid models: unique ergodicity and convergence. (English) Zbl 1522.35355 Commun. Math. Phys. 401, No. 1, 497-549 (2023). MSC: 35Q30 35Q31 76D05 34H10 37A05 37A60 PDFBibTeX XMLCite \textit{A. Agazzi} et al., Commun. Math. Phys. 401, No. 1, 497--549 (2023; Zbl 1522.35355) Full Text: DOI arXiv
Vanterler da C. Sousa, J.; Gala, Sadek; de Oliveira, E. Capelas On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in \(L^N(\mathbb{R}^N)^N\). (English) Zbl 07657513 Comput. Appl. Math. 42, No. 1, Paper No. 41, 11 p. (2023). MSC: 35Q30 26A33 34G25 34A12 35R11 PDFBibTeX XMLCite \textit{J. Vanterler da C. Sousa} et al., Comput. Appl. Math. 42, No. 1, Paper No. 41, 11 p. (2023; Zbl 07657513) Full Text: DOI
Larios, Adam; Victor, Collin Continuous Data Assimilation for the 3D and Higher-Dimensional Navier–Stokes equations with Higher-Order Fractional Diffusion. arXiv:2307.00096 Preprint, arXiv:2307.00096 [math.AP] (2023). MSC: 35Q30 93C20 35R11 37C50 76B75 34D06 BibTeX Cite \textit{A. Larios} and \textit{C. Victor}, ``Continuous Data Assimilation for the 3D and Higher-Dimensional Navier--Stokes equations with Higher-Order Fractional Diffusion'', Preprint, arXiv:2307.00096 [math.AP] (2023) Full Text: arXiv OA License
You, Bo; Li, F. Global Carleman estimates for the fourth order parabolic equations and application to null controllability. arXiv:2211.00647 Preprint, arXiv:2211.00647 [math.OC] (2022). MSC: 35Q30 93C20 37C50 76B75 34D06 BibTeX Cite \textit{B. You} and \textit{F. Li}, ``Global Carleman estimates for the fourth order parabolic equations and application to null controllability'', Preprint, arXiv:2211.00647 [math.OC] (2022) Full Text: arXiv OA License
Titi, Edriss S.; Trabelsi, Saber Global well-posedness of a three-dimensional Brinkman-Forchheimer-Bénard convection model in porous media. arXiv:2204.03531 Preprint, arXiv:2204.03531 [math.AP] (2022). MSC: 35Q30 35Q35 76B03 86A10 93C20 37C50 76B75 34D06 BibTeX Cite \textit{E. S. Titi} and \textit{S. Trabelsi}, ``Global well-posedness of a three-dimensional Brinkman-Forchheimer-B\'enard convection model in porous media'', Preprint, arXiv:2204.03531 [math.AP] (2022) Full Text: arXiv OA License
Biswas, Animikh; Bradshaw, Zachary; Jolly, Michael S. Data assimilation for the Navier-Stokes equations using local observables. (English) Zbl 1480.35309 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2174-2203 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 35Q93 34D06 76B75 93B07 PDFBibTeX XMLCite \textit{A. Biswas} et al., SIAM J. Appl. Dyn. Syst. 20, No. 4, 2174--2203 (2021; Zbl 1480.35309) Full Text: DOI arXiv
Filonov, N.; Khodunov, P. Nonuniqueness of Leray-Hopf solutions for a dyadic model. (English. Russian original) Zbl 1464.35178 St. Petersbg. Math. J. 32, No. 2, 371-387 (2021); translation from Algebra Anal. 32, No. 2, 229-253 (2020). MSC: 35Q30 76D05 34E05 35A24 35A02 PDFBibTeX XMLCite \textit{N. Filonov} and \textit{P. Khodunov}, St. Petersbg. Math. J. 32, No. 2, 371--387 (2021; Zbl 1464.35178); translation from Algebra Anal. 32, No. 2, 229--253 (2020) Full Text: DOI arXiv
Biswas, Animikh; Hudson, Joshua; Tian, Jing Persistence time of solutions of the three-dimensional Navier-Stokes equations in Sobolev-Gevrey classes. (English) Zbl 1456.35151 J. Differ. Equations 277, 191-233 (2021). MSC: 35Q30 76D05 34G20 47N20 35K55 35D30 35A01 PDFBibTeX XMLCite \textit{A. Biswas} et al., J. Differ. Equations 277, 191--233 (2021; Zbl 1456.35151) Full Text: DOI arXiv
Jolly, Michael S.; Pakzad, Ali Data Assimilation with Higher Order Finite Element Interpolants. arXiv:2108.03631 Preprint, arXiv:2108.03631 [math.NA] (2021). MSC: 35Q30 76B75 34D06 35Q35 35Q93 BibTeX Cite \textit{M. S. Jolly} and \textit{A. Pakzad}, ``Data Assimilation with Higher Order Finite Element Interpolants'', Preprint, arXiv:2108.03631 [math.NA] (2021) Full Text: arXiv OA License
Larios, Adam; Pei, Yuan Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data. (English) Zbl 1452.35133 Evol. Equ. Control Theory 9, No. 3, 733-751 (2020). MSC: 35Q30 37C50 93C20 76B75 34D06 PDFBibTeX XMLCite \textit{A. Larios} and \textit{Y. Pei}, Evol. Equ. Control Theory 9, No. 3, 733--751 (2020; Zbl 1452.35133) Full Text: DOI arXiv
Wang, Jintao; Zhao, Caidi; Caraballo, Tomás Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays. (English) Zbl 1454.35262 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105459, 14 p. (2020). MSC: 35Q30 35B41 34D35 76F20 PDFBibTeX XMLCite \textit{J. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105459, 14 p. (2020; Zbl 1454.35262) Full Text: DOI
Zhang, Fan; Cheng, Jian; Liu, Tiegang An asymptotic expansion for 1D steady compressible Navier-Stokes equations under nonuniform enthalpy. (English) Zbl 1451.35117 Math. Methods Appl. Sci. 43, No. 9, 5788-5808 (2020). MSC: 35Q30 65D18 68U05 68U07 76N06 34A34 34E05 PDFBibTeX XMLCite \textit{F. Zhang} et al., Math. Methods Appl. Sci. 43, No. 9, 5788--5808 (2020; Zbl 1451.35117) Full Text: DOI
Su, Wenhuo; Zang, Aibin The limit behavior of the second-grade fluid equations. (English) Zbl 1434.35065 Math. Methods Appl. Sci. 42, No. 18, 7432-7439 (2019). MSC: 35Q30 76D05 76D10 76A05 35B06 34B30 PDFBibTeX XMLCite \textit{W. Su} and \textit{A. Zang}, Math. Methods Appl. Sci. 42, No. 18, 7432--7439 (2019; Zbl 1434.35065) Full Text: DOI arXiv
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. A data assimilation algorithm: the paradigm of the 3D Leray-\(\alpha\) model of turbulence. (English) Zbl 1436.35274 Ben Ayed, Mohamed (ed.) et al., Partial differential equations arising from physics and geometry. A volume in memory of Abbas Bahri. Based on the conference, Hammamet, Tunisia, March 20–29, 2015. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 450, 253-273 (2019). MSC: 35Q30 93C20 37C50 76B75 34D06 76F02 76D05 35Q86 86A05 PDFBibTeX XMLCite \textit{A. Farhat} et al., Lond. Math. Soc. Lect. Note Ser. 450, 253--273 (2019; Zbl 1436.35274) Full Text: DOI arXiv Link
Biswas, Animikh; Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S. Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations. (English) Zbl 1420.35181 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 2, 295-326 (2019). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 76D06 34A45 34A55 35B42 93B52 PDFBibTeX XMLCite \textit{A. Biswas} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 2, 295--326 (2019; Zbl 1420.35181) 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
Yang, Yong; Zhang, Bingsheng On the Kolmogorov entropy of the weak global attractor of 3D Navier-Stokes equations. I. (English) Zbl 1373.35225 Discrete Contin. Dyn. Syst., Ser. B 22, No. 6, 2339-2350 (2017). Reviewer: Cheng He (Beijing) MSC: 35Q30 76D05 34G20 37L05 37L25 35B41 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{B. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 6, 2339--2350 (2017; Zbl 1373.35225) Full Text: DOI
Jolly, Michael S.; Martinez, Vincent R.; Titi, Edriss S. A data assimilation algorithm for the subcritical surface quasi-geostrophic equation. (English) Zbl 1358.35091 Adv. Nonlinear Stud. 17, No. 1, 167-192 (2017). MSC: 35Q30 37C50 76B75 34D06 35Q86 42B25 26A33 76B15 76U05 PDFBibTeX XMLCite \textit{M. S. Jolly} et al., Adv. Nonlinear Stud. 17, No. 1, 167--192 (2017; Zbl 1358.35091) Full Text: DOI arXiv
Su, Xing The global attractor of the 2D Boussinesq system with fractional vertical dissipation. (English) Zbl 1338.35338 Bound. Value Probl. 2016, Paper No. 105, 21 p. (2016). MSC: 35Q30 34D45 35R11 PDFBibTeX XMLCite \textit{X. Su}, Bound. Value Probl. 2016, Paper No. 105, 21 p. (2016; Zbl 1338.35338) Full Text: DOI
Gasser, Ingenuin; Szmolyan, Peter; Wächtler, Johannes Existence of Chapman-Jouguet detonation and deflagration waves. (English) Zbl 1343.35186 SIAM J. Math. Anal. 48, No. 2, 1400-1422 (2016). Reviewer: Cheng He (Beijing) MSC: 35Q30 35C07 34C37 80A25 35B44 76N10 35B20 PDFBibTeX XMLCite \textit{I. Gasser} et al., SIAM J. Math. Anal. 48, No. 2, 1400--1422 (2016; Zbl 1343.35186) Full Text: DOI Link
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S. Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field. (English) Zbl 1334.35202 J. Math. Fluid Mech. 18, No. 1, 1-23 (2016). MSC: 35Q30 93C20 37C50 76B75 34D06 PDFBibTeX XMLCite \textit{A. Farhat} et al., J. Math. Fluid Mech. 18, No. 1, 1--23 (2016; Zbl 1334.35202) Full Text: DOI arXiv
Ivleva, Natal’ya Ivleva; Levenshtam, Valeriĭ Borisovich Asymptotic analysis of the generalized convection problem. (English) Zbl 1463.35402 Eurasian Math. J. 6, No. 1, 41-55 (2015). MSC: 35Q30 34E10 PDFBibTeX XMLCite \textit{N. I. Ivleva} and \textit{V. B. Levenshtam}, Eurasian Math. J. 6, No. 1, 41--55 (2015; Zbl 1463.35402) Full Text: MNR
Bessaih, Hakima; Olson, Eric; Titi, Edriss S. Continuous data assimilation with stochastically noisy data. (English) Zbl 1308.35161 Nonlinearity 28, No. 3, 729-753 (2015). MSC: 35Q30 60H15 60H30 76B75 93C20 34D06 PDFBibTeX XMLCite \textit{H. Bessaih} et al., Nonlinearity 28, No. 3, 729--753 (2015; Zbl 1308.35161) Full Text: DOI arXiv
Witterstein, Gabriele Compressible-incompressible flows with surface tension. (English) Zbl 1330.35299 Adv. Math. Sci. Appl. 24, No. 2, 569-610 (2014). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 35R35 76T30 34E05 PDFBibTeX XMLCite \textit{G. Witterstein}, Adv. Math. Sci. Appl. 24, No. 2, 569--610 (2014; Zbl 1330.35299)
Huang, Aimin The 2D Euler-Boussinesq equations in planar polygonal domains with Yudovich’s type data. (English) Zbl 1310.35188 Commun. Math. Stat. 2, No. 3-4, 369-391 (2014). MSC: 35Q30 35Q31 34A12 76N10 PDFBibTeX XMLCite \textit{A. Huang}, Commun. Math. Stat. 2, No. 3--4, 369--391 (2014; Zbl 1310.35188) Full Text: DOI arXiv
Foias, Ciprian; Jolly, Michael S.; Yang, Yong; Zhang, Bingsheng On whether zero is in the global attractor of the 2D Navier-Stokes equations. (English) Zbl 1304.35485 Nonlinearity 27, No. 11, 2755-2770 (2014). MSC: 35Q30 76D05 34G20 37L05 37L25 PDFBibTeX XMLCite \textit{C. Foias} et al., Nonlinearity 27, No. 11, 2755--2770 (2014; Zbl 1304.35485) Full Text: DOI arXiv
Shakhmurov, Veli B. Stokes operators with variable coefficients and applications. (English) Zbl 1304.35505 Bound. Value Probl. 2014, Paper No. 86, 18 p. (2014). MSC: 35Q30 76D05 34G10 35J25 76D07 35B65 PDFBibTeX XMLCite \textit{V. B. Shakhmurov}, Bound. Value Probl. 2014, Paper No. 86, 18 p. (2014; Zbl 1304.35505) Full Text: DOI
Teramoto, Yoshiaki; Tomoeda, Kyoko On a linearized system arising in the study of viscous surface flow down an inclined plane. (English) Zbl 1302.35301 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 289-306 (2014). MSC: 35Q30 34G10 47D06 76D05 35R35 PDFBibTeX XMLCite \textit{Y. Teramoto} and \textit{K. Tomoeda}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 289--306 (2014; Zbl 1302.35301) Full Text: DOI
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
Shakhmurov, Veli B. Parameter-dependent Stokes problems in vector-valued spaces and applications. (English) Zbl 1294.35074 Bound. Value Probl. 2013, Paper No. 172, 17 p. (2013). MSC: 35Q30 76D05 34G10 35J25 PDFBibTeX XMLCite \textit{V. B. Shakhmurov}, Bound. Value Probl. 2013, Paper No. 172, 17 p. (2013; Zbl 1294.35074) Full Text: DOI
Shakhmurov, Veli B. Nonlocal Navier-Stokes problem with a small parameter. (English) Zbl 1301.35095 Bound. Value Probl. 2013, Paper No. 107, 19 p. (2013). Reviewer: Pavel Burda (Praha) MSC: 35Q30 76D05 34G10 35J25 76D07 35B65 76B03 PDFBibTeX XMLCite \textit{V. B. Shakhmurov}, Bound. Value Probl. 2013, Paper No. 107, 19 p. (2013; Zbl 1301.35095) Full Text: DOI
Robinson, James C. Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations. (English) Zbl 1286.35198 ISRN Math. Anal. 2013, Article ID 291823, 29 p. (2013). MSC: 35Q30 35B41 34D45 37L30 PDFBibTeX XMLCite \textit{J. C. Robinson}, ISRN Math. Anal. 2013, Article ID 291823, 29 p. (2013; Zbl 1286.35198) Full Text: DOI
Tsyganov, Eugene Space-time holomorphic time-periodic solutions of Navier-Stokes equations. (English) Zbl 1296.35126 Electron. J. Differ. Equ. 2013, Paper No. 218, 5 p. (2013). Reviewer: Il’ya Sh. Mogilevskii (Tver’) MSC: 35Q30 34M05 76D05 PDFBibTeX XMLCite \textit{E. Tsyganov}, Electron. J. Differ. Equ. 2013, Paper No. 218, 5 p. (2013; Zbl 1296.35126) Full Text: arXiv EMIS
Feireisl, Eduard Scaling and singular limits in the equations of continuum fluid mechanics. (English) Zbl 1280.35088 Methods Appl. Anal. 20, No. 2, 115-140 (2013). Reviewer: Cheng He (Beijing) MSC: 35Q30 35Q35 34E15 PDFBibTeX XMLCite \textit{E. Feireisl}, Methods Appl. Anal. 20, No. 2, 115--140 (2013; Zbl 1280.35088) Full Text: DOI Link
Dashti, Masoumeh; Robinson, James C. The uniqueness of Lagrangian trajectories in Navier-Stokes flows. (English) Zbl 1181.35169 Robinson, James C. (ed.) et al., Partial differential equations and fluid mechanics. Result of a workshop, Warwick, UK, May 21–23, 2007. Cambridge: Cambridge University Press (ISBN 978-0-521-12512-3/pbk). London Mathematical Society Lecture Note Series 364, 54-63 (2009). MSC: 35Q30 76D05 76D03 35B30 35B45 34A34 PDFBibTeX XMLCite \textit{M. Dashti} and \textit{J. C. Robinson}, Lond. Math. Soc. Lect. Note Ser. 364, 54--63 (2009; Zbl 1181.35169)
Wan, Li; Duan, Jinqiao Exponential stability of the multi-layer quasi-geostrophic ocean model with delays. (English) Zbl 1171.35447 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, 799-811 (2009). MSC: 35Q30 35Q35 34B40 35B35 35R10 76B15 86A05 PDFBibTeX XMLCite \textit{L. Wan} and \textit{J. Duan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3--4, 799--811 (2009; Zbl 1171.35447) Full Text: DOI
Duan, Renjun; Ma, Hongfang Global existence and convergence rates for the 3-D compressible Navier-Stokes equations without heat conductivity. (English) Zbl 1166.35029 Indiana Univ. Math. J. 57, No. 5, 2299-2319 (2008). MSC: 35Q30 65M12 93D20 34B45 PDFBibTeX XMLCite \textit{R. Duan} and \textit{H. Ma}, Indiana Univ. Math. J. 57, No. 5, 2299--2319 (2008; Zbl 1166.35029) Full Text: DOI
Sandrakov, G. V. Estimates of solutions to the Navier-Stokes equations with rapidly oscillating data. (English. Russian original) Zbl 1161.35463 Dokl. Math. 75, No. 2, 252-254 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 3, 317-319 (2007). MSC: 35Q30 76D05 34B45 35B65 PDFBibTeX XMLCite \textit{G. V. Sandrakov}, Dokl. Math. 75, No. 2, 252--254 (2007; Zbl 1161.35463); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 3, 317--319 (2007) Full Text: DOI
Pražák, Dalibor On reducing the 2D Navier-Stokes equations to a system of delayed ODEs. (English) Zbl 1095.35030 Chipot, Michel (ed.) et al., Nonlinear elliptic and parabolic problems. A special tribute to the work of Herbert Amann, Zürich, Switzerland, June 28–30, 2004. Basel: Birkhäuser (ISBN 3-7643-7266-4/hbk). Progress in Nonlinear Differential Equations and their Applications 64, 403-411 (2005). MSC: 35Q30 35B40 37L30 34K17 PDFBibTeX XMLCite \textit{D. Pražák}, Prog. Nonlinear Differ. Equ. Appl. 64, 403--411 (2005; Zbl 1095.35030)
Cheban, David; Duan, Jinqiao Almost periodic solutions and global attractors of nonautonomous Navier-Stokes equations. (English) Zbl 1088.35043 J. Dyn. Differ. Equations 16, No. 1, 1-34 (2004). Reviewer: Norbert Koksch (Dresden) MSC: 35Q30 34G20 37B55 34C20 35B15 35B41 37N10 76D05 PDFBibTeX XMLCite \textit{D. Cheban} and \textit{J. Duan}, J. Dyn. Differ. Equations 16, No. 1, 1--34 (2004; Zbl 1088.35043) Full Text: DOI arXiv
Sazonov, L. I. On the stability of periodic solutions of the Navier-Stokes system in a three-dimensional exterior domain. (English. Russian original) Zbl 1067.35066 Izv. Math. 67, No. 4, 781-795 (2003); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 4, 155-170 (2003). MSC: 35Q30 76E05 35B10 35B35 76D05 34D20 PDFBibTeX XMLCite \textit{L. I. Sazonov}, Izv. Math. 67, No. 4, 781--795 (2003; Zbl 1067.35066); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 4, 155--170 (2003) Full Text: DOI
Zgliczynski, Piotr On smooth dependence on initial conditions for dissipative PDEs, an ODE-type approach. (English) Zbl 1043.35034 J. Differ. Equations 195, No. 2, 271-283 (2003). Reviewer: Leonid B. Chubarov (Novosibirsk) MSC: 35Q30 34A45 37L05 65M60 35B10 76D05 PDFBibTeX XMLCite \textit{P. Zgliczynski}, J. Differ. Equations 195, No. 2, 271--283 (2003; Zbl 1043.35034) Full Text: DOI
Chepyzhov, V. V.; Vishik, M. I. Non-autonomous 2D Navier-Stokes system with a simple global attractor and some averaging problems. (English) Zbl 1068.35089 ESAIM, Control Optim. Calc. Var. 8, 467-487 (2002). MSC: 35Q30 37L30 34C29 35B40 35B41 37N10 76D05 PDFBibTeX XMLCite \textit{V. V. Chepyzhov} and \textit{M. I. Vishik}, ESAIM, Control Optim. Calc. Var. 8, 467--487 (2002; Zbl 1068.35089) Full Text: DOI Numdam EuDML
Münch, Andreas The thickness of a Marangoni-driven thin liquid film emerging from a meniscus. (English) Zbl 1012.35060 SIAM J. Appl. Math. 62, No. 6, 2045-2063 (2002). MSC: 35Q30 76D27 34B60 76D07 92C50 76M45 PDFBibTeX XMLCite \textit{A. Münch}, SIAM J. Appl. Math. 62, No. 6, 2045--2063 (2002; Zbl 1012.35060) Full Text: DOI
Nagayama, M.; Okamoto, H. On the interior layer appearing in the similarity solutions of the Navier-Stokes equations. (English) Zbl 1013.35061 Japan J. Ind. Appl. Math. 19, No. 2, 277-300 (2002). Reviewer: Georg V.Jaiani (Tbilisi) MSC: 35Q30 34B15 76D05 PDFBibTeX XMLCite \textit{M. Nagayama} and \textit{H. Okamoto}, Japan J. Ind. Appl. Math. 19, No. 2, 277--300 (2002; Zbl 1013.35061) Full Text: DOI
Montgomery-Smith, Stephen Finite time blow up for a Navier-Stokes like equation. (English) Zbl 0970.35100 Proc. Am. Math. Soc. 129, No. 10, 3025-3029 (2001). MSC: 35Q30 76D03 47D06 34G20 37L05 47H10 46E35 PDFBibTeX XMLCite \textit{S. Montgomery-Smith}, Proc. Am. Math. Soc. 129, No. 10, 3025--3029 (2001; Zbl 0970.35100) Full Text: DOI arXiv
Batcho, Paul F. The energy operator and new scaling relations for the incompressible Navier–Stokes equations. (English) Zbl 0991.35062 SIAM J. Appl. Math. 62, No. 1, 70-93 (2001). MSC: 35Q30 35P30 34L30 34L10 34L15 PDFBibTeX XMLCite \textit{P. F. Batcho}, SIAM J. Appl. Math. 62, No. 1, 70--93 (2001; Zbl 0991.35062) Full Text: DOI
Konovalova, D. S. Subdifferential boundary value problems for the nonstationary Navier-Stokes equations. (English. Russian original) Zbl 1011.35106 Differ. Equ. 36, No. 6, 878-885 (2000); translation from Differ. Uravn. 36, No. 6, 792-798 (2000). Reviewer: Mitsuharo Otani (Tokyo) MSC: 35Q30 34G25 76D03 47J20 PDFBibTeX XMLCite \textit{D. S. Konovalova}, Differ. Equ. 36, No. 6, 878--885 (2000; Zbl 1011.35106); translation from Differ. Uravn. 36, No. 6, 792--798 (2000) Full Text: DOI
Ilyin, A. A. Averaging principle for dissipative dynamical systems with rapidly oscillating right-hand sides. (English. Russian original) Zbl 0877.35093 Sb. Math. 187, No. 5, 635-677 (1996); translation from Mat. Sb. 187, No. 5, 15-58 (1996). Reviewer: V.Komkov (Roswell) MSC: 35Q30 35L70 34G20 PDFBibTeX XMLCite \textit{A. A. Ilyin}, Sb. Math. 187, No. 5, 635--677 (1996; Zbl 0877.35093); translation from Mat. Sb. 187, No. 5, 15--58 (1996) Full Text: DOI
Knightly, George H.; Sather, D. Reduction of a singular equation of Navier-Stokes type to a regular Hopf bifurcation problem. (English) Zbl 0987.35126 Concus, Paul (ed.) et al., Advances in geometric analysis and continuum mechanics. Proceedings of a conference, held at Stanford University, Stanford, CA, USA, August 2-5, 1993 in honor of the seventieth birthday of Robert Finn. Cambridge, MA: International Press. 149-159 (1995). Reviewer: Peter E.Kloeden (MR 96i:35102) MSC: 35Q30 35B32 34G20 76D05 PDFBibTeX XMLCite \textit{G. H. Knightly} and \textit{D. Sather}, in: Advances in geometric analysis and continuum mechanics. Proceedings of a conference, held at Stanford University, Stanford, CA, USA, August 2-5, 1993 in honor of the seventieth birthday of Robert Finn. Cambridge, MA: International Press. 149--159 (1995; Zbl 0987.35126)
Foias, C.; Temam, R. Approximation of attractors by algebraic or analytic sets. (English) Zbl 0836.35118 SIAM J. Math. Anal. 25, No. 5, 1269-1302 (1994). Reviewer: Y.R.Romanovsky (Pereslavl’-Zalesskij) MSC: 35Q30 34D45 37C70 41A05 33C05 PDFBibTeX XMLCite \textit{C. Foias} and \textit{R. Temam}, SIAM J. Math. Anal. 25, No. 5, 1269--1302 (1994; Zbl 0836.35118) Full Text: DOI
Lesmes, Jaime Dissipative equations: Absorbent sets and attractors. (Spanish) Zbl 0841.35082 Rev. Colomb. Mat. 27, No. 1-2, 45-54 (1993). Reviewer: G.Jumarie (Montreal) MSC: 35Q30 37C70 34D45 PDFBibTeX XMLCite \textit{J. Lesmes}, Rev. Colomb. Mat. 27, No. 1--2, 45--54 (1993; Zbl 0841.35082) Full Text: EuDML
Christiansen, E. A.; Sørensen, J. N.; Brøns, M.; Christiansen, P. L. Low-dimensional behaviour in the rotating driven cavity problem. (English) Zbl 0900.35288 Christiansen, P. L. (ed.) et al., Future directions of nonlinear dynamics in physical and biological systems. Proceedings of a NATO Advanced Study Institute in honour of Alwyn Scott’s 60th birthday, Lyngby, Denmark, July 23–August 1, 1992. New York, NY: Plenum. NATO ASI Ser., Ser. B, Phys. 312, 45-49 (1993). MSC: 35Q30 76U05 34C23 37G99 PDFBibTeX XMLCite \textit{E. A. Christiansen} et al., NATO ASI Ser., Ser. B, Phys. 312, 45--49 (1993; Zbl 0900.35288)
Kwak, Minkyu Finite-dimensional inertial forms for the 2D Navier-Stokes equations. (English) Zbl 0765.35034 Indiana Univ. Math. J. 41, No. 4, 927-981 (1992). Reviewer: M.Kwak (Kwangju) MSC: 35Q30 35K55 35B40 34C30 76D05 PDFBibTeX XMLCite \textit{M. Kwak}, Indiana Univ. Math. J. 41, No. 4, 927--981 (1992; Zbl 0765.35034) Full Text: DOI
Taylor, Michael E. Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. (English) Zbl 0771.35047 Commun. Partial Differ. Equations 17, No. 9-10, 1407-1456 (1992). Reviewer: H.Tanabe (Toyonaka) MSC: 35Q30 58D25 46N20 34G20 PDFBibTeX XMLCite \textit{M. E. Taylor}, Commun. Partial Differ. Equations 17, No. 9--10, 1407--1456 (1992; Zbl 0771.35047) Full Text: DOI
Foiaş, Ciprian; Saut, J. C. Nonlinear spectral manifolds for the Navier-Stokes equations. (English) Zbl 0598.35092 Nonlinear functional analysis and its applications, Proc. Summer Res. Inst., Berkeley/Calif. 1983, Proc. Symp. Pure Math. 45, Pt. 1, 439-448 (1986). Reviewer: T.Shaposhnikova MSC: 35Q30 76D05 34G10 PDFBibTeX XML
von Wahl, Wolf The equations of Navier-Stokes and abstract parabolic equations. (English) Zbl 1409.35168 Aspects of Mathematics E8. Braunschweig: Friedr. Vieweg & Sohn (ISBN 3-528-08915-6). xxiv, 264 p. (1985). MSC: 35Q30 34G20 76D05 PDFBibTeX XMLCite \textit{W. von Wahl}, The equations of Navier-Stokes and abstract parabolic equations. Braunschweig: Friedr. Vieweg \& Sohn (1985; Zbl 1409.35168)
von Wahl, Wolf Regularity questions for the Navier-Stokes equations. (English) Zbl 0451.35051 Approximation methods for Navier-Stokes problems, Proc. Symp. IUTAM, Paderborn 1979, Lect. Notes Math. 771, 538-542 (1980). MSC: 35Q30 34K30 PDFBibTeX XML
Iooss, G. Sur la deuxième bifurcation d’une solution stationnaire de systèmes du type Navier-Stokes. (French) Zbl 0356.35068 Arch. Ration. Mech. Anal. 64, 339-369 (1977). MSC: 35Q30 35B99 34C30 76D05 76E30 PDFBibTeX XMLCite \textit{G. Iooss}, Arch. Ration. Mech. Anal. 64, 339--369 (1977; Zbl 0356.35068) Full Text: DOI
Smolyanov, O. G. Linear representations of evolution differential equations. (English. Russian original) Zbl 0332.35054 Sov. Math., Dokl. 16, 542-546 (1975); translation from Dokl. Akad. Nauk SSSR 221, 1288-1291 (1975). MSC: 35Q30 35A10 34G99 PDFBibTeX XMLCite \textit{O. G. Smolyanov}, Sov. Math., Dokl. 16, 542--546 (1975; Zbl 0332.35054); translation from Dokl. Akad. Nauk SSSR 221, 1288--1291 (1975)
Kopacevskii, N. D. On oscillations of a capillary, viscous, rotating liquid. (English. Russian original) Zbl 0326.35066 Sov. Math., Dokl. 15, 1738-1742 (1974); translation from Dokl. Akad. Nauk SSSR 219, 1065-1068 (1974). MSC: 35Q30 35D05 35R20 47B25 34D05 76U05 PDFBibTeX XMLCite \textit{N. D. Kopacevskii}, Sov. Math., Dokl. 15, 1738--1742 (1974; Zbl 0326.35066); translation from Dokl. Akad. Nauk SSSR 219, 1065--1068 (1974)