Kukavica, Igor; Ożański, Wojciech S. On a model of an elastic body fully immersed in a viscous incompressible fluid with small data. (English) Zbl 07802035 SIAM J. Math. Anal. 56, No. 1, 746-761 (2024). MSC: 35Q30 76D05 74F10 74B10 35B45 35A01 35A02 35R35 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{W. S. Ożański}, SIAM J. Math. Anal. 56, No. 1, 746--761 (2024; Zbl 07802035) Full Text: DOI arXiv
Kukavica, Igor; Ożański, Wojciech S. Global well-posedness and exponential decay for a fluid-structure model with small data. (English) Zbl 07786041 Indiana Univ. Math. J. 72, No. 6, 2701-2731 (2023). MSC: 35Q30 76D05 74F10 74B10 74J05 35D35 35A01 35A02 35R35 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{W. S. Ożański}, Indiana Univ. Math. J. 72, No. 6, 2701--2731 (2023; Zbl 07786041) Full Text: DOI arXiv
Kukavica, Igor; Massatt, David; Ziane, Mohammed Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions. (English) Zbl 1518.35552 Discrete Contin. Dyn. Syst. 43, No. 8, 3060-3081 (2023). MSC: 35Q35 76D05 35B32 35B40 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Discrete Contin. Dyn. Syst. 43, No. 8, 3060--3081 (2023; Zbl 1518.35552) Full Text: DOI arXiv
Kukavica, Igor; Xu, Fanhui Local existence of strong solutions to the stochastic Navier-Stokes equations with \(L^p\) data. (English) Zbl 07676267 J. Differ. Equations 359, 183-210 (2023). MSC: 35Q30 76D05 35D35 35A01 35A02 35R60 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{F. Xu}, J. Differ. Equations 359, 183--210 (2023; Zbl 07676267) Full Text: DOI arXiv
Bradshaw, Zachary; Kukavica, Igor; Ożański, Wojciech S. Global weak solutions of the Navier-Stokes equations for intermittent initial data in half-space. (English) Zbl 1504.35214 Arch. Ration. Mech. Anal. 245, No. 1, 321-371 (2022). MSC: 35Q30 76D05 35D30 35B45 35B65 35C06 35A01 PDFBibTeX XMLCite \textit{Z. Bradshaw} et al., Arch. Ration. Mech. Anal. 245, No. 1, 321--371 (2022; Zbl 1504.35214) Full Text: DOI arXiv
Kukavica, Igor; Nguyen, Trinh T.; Vicol, Vlad; Wang, Fei On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations. (English) Zbl 1521.76081 J. Math. Fluid Mech. 24, No. 2, Paper No. 47, 46 p. (2022). Reviewer: Piotr Biler (Wrocław) MSC: 76D03 76D10 76M45 35Q30 35Q31 PDFBibTeX XMLCite \textit{I. Kukavica} et al., J. Math. Fluid Mech. 24, No. 2, Paper No. 47, 46 p. (2022; Zbl 1521.76081) Full Text: DOI arXiv
Bradshaw, Zachary; Kukavica, Igor; Tsai, Tai-Peng Existence of global weak solutions to the Navier-Stokes equations in weighted spaces. (English) Zbl 1507.35137 Indiana Univ. Math. J. 71, No. 1, 191-212 (2022). MSC: 35Q30 76D05 35B65 35C06 35D30 35A01 PDFBibTeX XMLCite \textit{Z. Bradshaw} et al., Indiana Univ. Math. J. 71, No. 1, 191--212 (2022; Zbl 1507.35137) Full Text: DOI arXiv
Kukavica, Igor; Xu, Fanhui; Ziane, Mohammed Global existence for the stochastic Navier-Stokes equations with small \(L^p\) data. (English) Zbl 1487.60124 Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 1, 160-189 (2022). Reviewer: Feng-Yu Wang (Tianjin) MSC: 60H15 35Q30 35R60 76D05 76M35 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 1, 160--189 (2022; Zbl 1487.60124) Full Text: DOI
Kukavica, I.; Ożański, W. S. An anisotropic regularity condition for the 3D incompressible Navier-Stokes equations for the entire exponent range. (English) Zbl 1490.35253 Appl. Math. Lett. 122, Article ID 107298, 9 p. (2021). MSC: 35Q30 76D05 35B65 35D30 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{W. S. Ożański}, Appl. Math. Lett. 122, Article ID 107298, 9 p. (2021; Zbl 1490.35253) Full Text: DOI arXiv
Kukavica, Igor; Vicol, Vlad; Wang, Fei The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary. (English) Zbl 1437.35539 Arch. Ration. Mech. Anal. 237, No. 2, 779-827 (2020). MSC: 35Q30 35Q31 76D10 76D03 35B65 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Arch. Ration. Mech. Anal. 237, No. 2, 779--827 (2020; Zbl 1437.35539) Full Text: DOI arXiv
Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad Analyticity up to the boundary for the Stokes and the Navier-Stokes systems. (English) Zbl 1437.35568 Trans. Am. Math. Soc. 373, No. 5, 3375-3422 (2020). MSC: 35Q35 35Q30 76D05 76D07 35B65 PDFBibTeX XMLCite \textit{G. Camliyurt} et al., Trans. Am. Math. Soc. 373, No. 5, 3375--3422 (2020; Zbl 1437.35568) Full Text: DOI
Bradshaw, Zachary; Kukavica, Igor Existence of suitable weak solutions to the Navier-Stokes equations for intermittent data. (English) Zbl 1436.35273 J. Math. Fluid Mech. 22, No. 1, Paper No. 3, 20 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76D05 35D30 PDFBibTeX XMLCite \textit{Z. Bradshaw} and \textit{I. Kukavica}, J. Math. Fluid Mech. 22, No. 1, Paper No. 3, 20 p. (2020; Zbl 1436.35273) Full Text: DOI arXiv
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed On local regularity conditions for the Navier-Stokes equations. (English) Zbl 1416.35188 Nonlinearity 32, No. 6, 1905-1928 (2019). MSC: 35Q30 76D05 35B65 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Nonlinearity 32, No. 6, 1905--1928 (2019; Zbl 1416.35188) Full Text: DOI
Kukavica, Igor; Wang, Fei Far-field regularity for the supercritical quasi-geostrophic equation. (English) Zbl 1391.35329 Commun. Math. Sci. 16, No. 2, 393-410 (2018). MSC: 35Q35 76D03 35R11 35B65 35Q86 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{F. Wang}, Commun. Math. Sci. 16, No. 2, 393--410 (2018; Zbl 1391.35329) Full Text: DOI
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
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed An anisotropic partial regularity criterion for the Navier-Stokes equations. (English) Zbl 1457.76055 J. Math. Fluid Mech. 19, No. 1, 123-133 (2017). MSC: 76D03 76D05 35D30 PDFBibTeX XMLCite \textit{I. Kukavica} et al., J. Math. Fluid Mech. 19, No. 1, 123--133 (2017; Zbl 1457.76055) Full Text: DOI arXiv
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad Small data global existence for a fluid-structure model. (English) Zbl 1357.35299 Nonlinearity 30, No. 2, 848-898 (2017). MSC: 35R35 35Q30 76D05 PDFBibTeX XMLCite \textit{M. Ignatova} et al., Nonlinearity 30, No. 2, 848--898 (2017; Zbl 1357.35299) Full Text: DOI Link
Bradshaw, Zachary; Grujić, Zoran; Kukavica, Igor Analyticity radii and the Navier-Stokes equations: recent results and applications. (English) Zbl 1362.35227 Robinson, James C. (ed.) et al., Recent progress in the theory of the Euler and Navier-Stokes equations. Based on the workshop “The Navier-Stokes equations in Venice”, Venice, Italy, April 8–12, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-55497-9/pbk; 978-1-316-40710-3/ebook). London Mathematical Society Lecture Note Series 430, 22-36 (2016). MSC: 35Q35 76D05 35B65 PDFBibTeX XMLCite \textit{Z. Bradshaw} et al., Lond. Math. Soc. Lect. Note Ser. 430, 22--36 (2016; Zbl 1362.35227) Full Text: DOI
Ignatova, Mihaela; Kukavica, Igor On the local existence of the free-surface Euler equation with surface tension. (English) Zbl 1356.35167 Asymptotic Anal. 100, No. 1-2, 63-86 (2016). MSC: 35Q31 76D45 35A01 35R35 35B45 PDFBibTeX XMLCite \textit{M. Ignatova} and \textit{I. Kukavica}, Asymptotic Anal. 100, No. 1--2, 63--86 (2016; Zbl 1356.35167) Full Text: DOI
Kukavica, Igor; Tuffaha, Amjad; Vicol, Vlad; Wang, Fei On the existence for the free interface 2D Euler equation with a localized vorticity condition. (English) Zbl 1351.35118 Appl. Math. Optim. 73, No. 3, 523-544 (2016). MSC: 35Q31 35B45 76D03 76U05 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Appl. Math. Optim. 73, No. 3, 523--544 (2016; Zbl 1351.35118) Full Text: DOI
Kukavica, Igor; Wang, Fei; Ziane, Mohammed Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces. (English) Zbl 1334.35103 Adv. Differ. Equ. 21, No. 1-2, 85-108 (2016). MSC: 35K55 35M33 76B03 76D05 35Q35 35B65 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Adv. Differ. Equ. 21, No. 1--2, 85--108 (2016; Zbl 1334.35103) Full Text: Euclid
Bradshaw, Zachary; Grujić, Zoran; Kukavica, Igor Local analyticity radii of solutions to the 3D Navier-Stokes equations with locally analytic forcing. (English) Zbl 1320.35253 J. Differ. Equations 259, No. 8, 3955-3975 (2015). MSC: 35Q30 76D05 35D35 35B45 PDFBibTeX XMLCite \textit{Z. Bradshaw} et al., J. Differ. Equations 259, No. 8, 3955--3975 (2015; Zbl 1320.35253) Full Text: DOI
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed Persistence of regularity for the viscous Boussinesq equations with zero diffusivity. (English) Zbl 1319.35192 Asymptotic Anal. 91, No. 2, 111-124 (2015). MSC: 35Q35 35B65 35A01 76D05 PDFBibTeX XMLCite \textit{W. Hu} et al., Asymptotic Anal. 91, No. 2, 111--124 (2015; Zbl 1319.35192) Full Text: DOI
Kukavica, Igor; Masmoudi, Nader; Vicol, Vlad; Wong, Tak Kwong On the local well-posedness of the Prandtl and hydrostatic Euler equations with multiple monotonicity regions. (English) Zbl 1317.35202 SIAM J. Math. Anal. 46, No. 6, 3865-3890 (2014). Reviewer: Cheng He (Beijing) MSC: 35Q35 76D03 76D10 PDFBibTeX XMLCite \textit{I. Kukavica} et al., SIAM J. Math. Anal. 46, No. 6, 3865--3890 (2014; Zbl 1317.35202) Full Text: DOI arXiv
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad On well-posedness and small data global existence for an interface damped free boundary fluid-structure model. (English) Zbl 1286.35272 Nonlinearity 27, No. 3, 467-499 (2014). MSC: 35R35 35Q30 76D05 PDFBibTeX XMLCite \textit{M. Ignatova} et al., Nonlinearity 27, No. 3, 467--499 (2014; Zbl 1286.35272) Full Text: DOI
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed On the regularity for the Boussinesq equations in a bounded domain. (English) Zbl 1293.35246 J. Math. Phys. 54, No. 8, 081507, 10 p. (2013). Reviewer: Keisuke Uchikoshi (Yokosuka) MSC: 35Q35 76D03 35B65 PDFBibTeX XMLCite \textit{W. Hu} et al., J. Math. Phys. 54, No. 8, 081507, 10 p. (2013; Zbl 1293.35246) Full Text: DOI
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed Solutions of the Navier-Stokes equations for large oscillatory data. (English) Zbl 1264.35165 Adv. Differ. Equ. 18, No. 5-6, 549-586 (2013). MSC: 35Q30 35B06 76D03 35B65 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Adv. Differ. Equ. 18, No. 5--6, 549--586 (2013; Zbl 1264.35165) Full Text: Euclid
Kukavica, Igor On the decay of solutions of the Navier-Stokes System with potential forces. (English) Zbl 1296.35121 Robinson, James C. (ed.) et al., Mathematical aspects of fluid mechanics. Selected papers based on the presentations at the workshop partial differential equations and fluid mechanics, Warwick, UK, June 15–19, 2010. Cambridge: Cambridge University Press (ISBN 978-1-107-60925-9/pbk). London Mathematical Society Lecture Note Series 402, 235-250 (2012). MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{I. Kukavica}, Lond. Math. Soc. Lect. Note Ser. 402, 235--250 (2012; Zbl 1296.35121)
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad On well-posedness for a free boundary fluid-structure model. (English) Zbl 1457.35095 J. Math. Phys. 53, No. 11, 115624, 13 p. (2012). MSC: 35R35 74F10 35B30 35Q30 76D05 PDFBibTeX XMLCite \textit{M. Ignatova} et al., J. Math. Phys. 53, No. 11, 115624, 13 p. (2012; Zbl 1457.35095) Full Text: DOI Link
Kukavica, Igor; Tuffaha, Amjad Solutions to a free boundary problem of fluid-structure interaction. (English) Zbl 1280.35094 Indiana Univ. Math. J. 61, No. 5, 1817-1859 (2012). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 74F10 76D05 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{A. Tuffaha}, Indiana Univ. Math. J. 61, No. 5, 1817--1859 (2012; Zbl 1280.35094) Full Text: DOI Link
Kukavica, Igor; Tuffaha, Amjad Well-posedness for the compressible Navier-Stokes-Lamé system with a free interface. (English) Zbl 1256.35213 Nonlinearity 25, No. 11, 3111-3137 (2012). MSC: 35R37 35Q30 35R35 76D05 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{A. Tuffaha}, Nonlinearity 25, No. 11, 3111--3137 (2012; Zbl 1256.35213) Full Text: DOI
Kukavica, Igor; Pei, Yuan An estimate on the parabolic fractal dimension of the singular set for solutions of the Navier-Stokes system. (English) Zbl 1247.35094 Nonlinearity 25, No. 9, 2775-2783 (2012). MSC: 35Q30 76D05 35K55 35K15 35D30 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{Y. Pei}, Nonlinearity 25, No. 9, 2775--2783 (2012; Zbl 1247.35094) Full Text: DOI
Kukavica, Igor; Tuffaha, Amjad Solutions to a fluid-structure interaction free boundary problem. (English) Zbl 1234.35320 Discrete Contin. Dyn. Syst. 32, No. 4, 1355-1389 (2012). MSC: 35R35 35Q30 74F10 76D05 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{A. Tuffaha}, Discrete Contin. Dyn. Syst. 32, No. 4, 1355--1389 (2012; Zbl 1234.35320) Full Text: DOI Link
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed Strong solutions to a Navier-Stokes-Lamé system on a domain with a non-flat boundary. (English) Zbl 1372.76029 Nonlinearity 24, No. 1, 159-176 (2011). MSC: 76D03 76D05 35M33 35B30 35D35 74F10 74H20 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Nonlinearity 24, No. 1, 159--176 (2011; Zbl 1372.76029) Full Text: DOI
Kukavica, Igor; Temam, Roger; Vicol, Vlad C.; Ziane, Mohammed Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain. (English) Zbl 1204.35129 J. Differ. Equations 250, No. 3, 1719-1746 (2011). MSC: 35Q31 35A10 76B03 86A05 PDFBibTeX XMLCite \textit{I. Kukavica} et al., J. Differ. Equations 250, No. 3, 1719--1746 (2011; Zbl 1204.35129) Full Text: DOI
Kukavica, Igor; Reis, Ednei Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. (English) Zbl 1205.35200 J. Differ. Equations 250, No. 1, 607-622 (2011). MSC: 35Q30 35C20 76D05 35A22 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{E. Reis}, J. Differ. Equations 250, No. 1, 607--622 (2011; Zbl 1205.35200) Full Text: DOI
Kukavica, Igor Partial regularity for the Navier-Stokes equations with a force in a Morrey space. (English) Zbl 1205.35199 J. Math. Anal. Appl. 374, No. 2, 573-584 (2011). MSC: 35Q30 76D05 76D03 35B65 PDFBibTeX XMLCite \textit{I. Kukavica}, J. Math. Anal. Appl. 374, No. 2, 573--584 (2011; Zbl 1205.35199) Full Text: DOI
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed Strong solutions for a fluid structure interaction system. (English) Zbl 1191.35206 Adv. Differ. Equ. 15, No. 3-4, 231-254 (2010). MSC: 35Q30 76D05 74F10 35B65 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Adv. Differ. Equ. 15, No. 3--4, 231--254 (2010; Zbl 1191.35206)
Kukavica, Igor On regularity for the Navier-Stokes equations in Morrey spaces. (English) Zbl 1186.35143 Discrete Contin. Dyn. Syst. 26, No. 4, 1319-1328 (2010). MSC: 35Q30 76D05 76D03 35B65 35D30 PDFBibTeX XMLCite \textit{I. Kukavica}, Discrete Contin. Dyn. Syst. 26, No. 4, 1319--1328 (2010; Zbl 1186.35143) Full Text: DOI
Kukavica, Igor The fractal dimension of the singular set for solutions of the Navier-Stokes system. (English) Zbl 1181.35173 Nonlinearity 22, No. 12, 2889-2900 (2009). MSC: 35Q30 76D05 28A78 76D03 28A80 PDFBibTeX XMLCite \textit{I. Kukavica}, Nonlinearity 22, No. 12, 2889--2900 (2009; Zbl 1181.35173) Full Text: DOI
Kukavica, Igor Partial regularity results for solutions of the Navier-Stokes system. (English) Zbl 1185.35169 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, 121-145 (2009). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 76D03 35B65 PDFBibTeX XMLCite \textit{I. Kukavica}, Lond. Math. Soc. Lect. Note Ser. 364, 121--145 (2009; Zbl 1185.35169)
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed Strong solutions to a nonlinear fluid structure interaction system. (English) Zbl 1180.35415 J. Differ. Equations 247, No. 5, 1452-1478 (2009). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 76D05 76D03 74F10 PDFBibTeX XMLCite \textit{I. Kukavica} et al., J. Differ. Equations 247, No. 5, 1452--1478 (2009; Zbl 1180.35415) Full Text: DOI
Kukavica, Igor On the weighted decay for solutions of the Navier-Stokes system. (English) Zbl 1166.35358 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 6, 2466-2470 (2009). MSC: 35Q30 76D05 35B35 PDFBibTeX XMLCite \textit{I. Kukavica}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 6, 2466--2470 (2009; Zbl 1166.35358) Full Text: DOI
Kukavica, Igor Regularity for the Navier-Stokes equations with a solution in a Morrey space. (English) Zbl 1159.35056 Indiana Univ. Math. J. 57, No. 6, 2843-2860 (2008). MSC: 35Q30 76D05 76D03 PDFBibTeX XMLCite \textit{I. Kukavica}, Indiana Univ. Math. J. 57, No. 6, 2843--2860 (2008; Zbl 1159.35056) Full Text: DOI
Kukavica, Igor; Vicol, Vlad On local uniqueness of weak solutions to the Navier-Stokes system with \(\mathrm{BMO}^{-1}\) initial datum. (English) Zbl 1148.35064 J. Dyn. Differ. Equations 20, No. 3, 719-732 (2008). MSC: 35Q30 35D05 76D05 76D03 35K15 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{V. Vicol}, J. Dyn. Differ. Equations 20, No. 3, 719--732 (2008; Zbl 1148.35064) Full Text: DOI
Kukavica, Igor On partial regularity for the Navier-Stokes equations. (English) Zbl 1147.35071 Discrete Contin. Dyn. Syst. 21, No. 3, 717-728 (2008). MSC: 35Q30 35D10 76D05 76D03 PDFBibTeX XMLCite \textit{I. Kukavica}, Discrete Contin. Dyn. Syst. 21, No. 3, 717--728 (2008; Zbl 1147.35071) Full Text: DOI
Kukavica, Igor; Ziane, Mohammed Navier-Stokes equations with regularity in one direction. (English) Zbl 1144.81373 J. Math. Phys. 48, No. 6, 065203, 10 p. (2007). MSC: 35Q30 76D03 76D05 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{M. Ziane}, J. Math. Phys. 48, No. 6, 065203, 10 p. (2007; Zbl 1144.81373) Full Text: DOI
Kukavica, Igor; Ziane, Mohammed The regularity of solutions of the primitive equations of the ocean in space dimension three. (English) Zbl 1174.35097 C. R., Math., Acad. Sci. Paris 345, No. 5, 257-260 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q35 35A05 35B65 76D03 76U05 86A05 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{M. Ziane}, C. R., Math., Acad. Sci. Paris 345, No. 5, 257--260 (2007; Zbl 1174.35097) Full Text: DOI
Kukavica, Igor; Torres, J. J. Weighted \(L^{p}\) decay for solutions of the Navier-Stokes equations. (English) Zbl 1121.35101 Commun. Partial Differ. Equations 32, No. 5, 819-831 (2007). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 35Q30 35B40 35K15 35K55 76D05 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{J. J. Torres}, Commun. Partial Differ. Equations 32, No. 5, 819--831 (2007; Zbl 1121.35101) Full Text: DOI
Kukavica, Igor Log-log convexity and backward uniqueness. (English) Zbl 1119.35007 Proc. Am. Math. Soc. 135, No. 8, 2415-2421 (2007). Reviewer: Bruno Scarpellini (Basel) MSC: 35B42 35B41 35K55 34G20 35K15 76D03 PDFBibTeX XMLCite \textit{I. Kukavica}, Proc. Am. Math. Soc. 135, No. 8, 2415--2421 (2007; Zbl 1119.35007) Full Text: DOI
Kukavica, Igor; Ziane, Mohammed On the regularity of the Navier-Stokes equation in a thin periodic domain. (English) Zbl 1118.35029 J. Differ. Equations 234, No. 2, 485-506 (2007). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35Q30 35B65 76D03 76D05 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{M. Ziane}, J. Differ. Equations 234, No. 2, 485--506 (2007; Zbl 1118.35029) Full Text: DOI
Kukavica, Igor; Ziane, Mohammed On the regularity of the solutions of the Navier-Stockes equation in a thin periodic domain. (Sur la régularité des solutions des équations de Navier–Stokes dans un domaine périodique de faible épaisseur.) (French. English summary) Zbl 1122.35097 C. R., Math., Acad. Sci. Paris 344, No. 2, 97-102 (2007). MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{M. Ziane}, C. R., Math., Acad. Sci. Paris 344, No. 2, 97--102 (2007; Zbl 1122.35097) Full Text: DOI
Kukavica, Igor; Ziane, Mohammed Regularity of the Navier-Stokes equation in a thin periodic domain with large data. (English) Zbl 1115.35098 Discrete Contin. Dyn. Syst. 16, No. 1, 67-86 (2006). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q30 76D03 35D05 35K15 76D05 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{M. Ziane}, Discrete Contin. Dyn. Syst. 16, No. 1, 67--86 (2006; Zbl 1115.35098) Full Text: DOI
Kukavica, Igor Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation. (English) Zbl 1105.35081 J. Dyn. Differ. Equations 18, No. 2, 461-482 (2006). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q30 35Q05 76D05 PDFBibTeX XMLCite \textit{I. Kukavica}, J. Dyn. Differ. Equations 18, No. 2, 461--482 (2006; Zbl 1105.35081) Full Text: DOI
Kukavica, Igor; Ziane, Mohammed Conditional regularity of the 3D Navier-Stokes equation. (Régularité conditionnelle des équations de Navier-Stokes.) (French. Abridged English version) Zbl 1099.35082 C. R., Math., Acad. Sci. Paris 343, No. 1, 31-36 (2006). MSC: 35Q30 76D03 76D05 35D10 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{M. Ziane}, C. R., Math., Acad. Sci. Paris 343, No. 1, 31--36 (2006; Zbl 1099.35082) Full Text: DOI
Kukavica, Igor; Ziane, Mohammed One component regularity for the Navier-Stokes equations. (English) Zbl 1149.35069 Nonlinearity 19, No. 2, 453-469 (2006). Reviewer: Jens Rademacher (Amsterdam) MSC: 35Q30 35B65 76D03 76D05 35K15 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{M. Ziane}, Nonlinearity 19, No. 2, 453--469 (2006; Zbl 1149.35069) Full Text: DOI
Kukavica, Igor; Torres, J. J. Weighted bounds for the velocity and the vorticity for the Navier-Stokes equations. (English) Zbl 1106.35052 Nonlinearity 19, No. 2, 293-303 (2006). Reviewer: Jens Rademacher (Berlin) MSC: 35Q30 35B45 76D05 76D03 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{J. J. Torres}, Nonlinearity 19, No. 2, 293--303 (2006; Zbl 1106.35052) Full Text: DOI
Kukavica, Igor On local uniqueness of weak solutions of the Navier–Stokes system with bounded initial data. (English) Zbl 1050.35070 J. Differ. Equations 194, No. 1, 39-50 (2003). Reviewer: Klaus Deckelnick (Magdeburg) MSC: 35Q30 76D05 35K15 PDFBibTeX XMLCite \textit{I. Kukavica}, J. Differ. Equations 194, No. 1, 39--50 (2003; Zbl 1050.35070) Full Text: DOI
Kukavica, Igor Length of vorticity nodal sets for solutions of the 2D Navier-Stokes equations. (English) Zbl 1048.35061 Commun. Partial Differ. Equations 28, No. 3-4, 771-793 (2003). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76D05 76D17 76F02 PDFBibTeX XMLCite \textit{I. Kukavica}, Commun. Partial Differ. Equations 28, No. 3--4, 771--793 (2003; Zbl 1048.35061) Full Text: DOI
Kukavica, Igor Space-time decay for solutions of the Navier-Stokes equations. (English) Zbl 1006.35078 Indiana Univ. Math. J. 50, Spec. Iss., 205-222 (2001). Reviewer: Ibrahim Aganović (Zagreb) MSC: 35Q30 76D05 35K15 35K55 PDFBibTeX XMLCite \textit{I. Kukavica}, Indiana Univ. Math. J. 50, 205--222 (2001; Zbl 1006.35078) Full Text: DOI
Kukavica, Igor Interior gradient bounds for the 2D Navier-Stokes system. (English) Zbl 1017.35087 Discrete Contin. Dyn. Syst. 7, No. 4, 873-882 (2001). MSC: 35Q30 76D05 35K55 35K15 PDFBibTeX XMLCite \textit{I. Kukavica}, Discrete Contin. Dyn. Syst. 7, No. 4, 873--882 (2001; Zbl 1017.35087) Full Text: DOI
Friz, Peter K.; Kukavica, Igor; Robinson, James C. Nodal parametrisation of analytic attractors. (English) Zbl 1153.37439 Discrete Contin. Dyn. Syst. 7, No. 3, 643-657 (2001). MSC: 37L30 35B41 35Q30 37N10 76D05 PDFBibTeX XMLCite \textit{P. K. Friz} et al., Discrete Contin. Dyn. Syst. 7, No. 3, 643--657 (2001; Zbl 1153.37439) Full Text: DOI
Kukavica, Igor A ladder inequality for the Navier-Stokes equation. (English) Zbl 0966.76017 Nonlinearity 13, No. 3, 639-652 (2000). MSC: 76D03 76D05 35Q30 PDFBibTeX XMLCite \textit{I. Kukavica}, Nonlinearity 13, No. 3, 639--652 (2000; Zbl 0966.76017) Full Text: DOI
Kukavica, Igor On the dissipative scale for the Navier-Stokes equation. (English) Zbl 0937.35126 Indiana Univ. Math. J. 48, No. 3, 1057-1081 (1999). Reviewer: Marco Romito (Firenze) MSC: 35Q30 37L05 35K55 76D03 PDFBibTeX XMLCite \textit{I. Kukavica}, Indiana Univ. Math. J. 48, No. 3, 1057--1081 (1999; Zbl 0937.35126) Full Text: DOI Link
Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J. Dirichlet quotients and 2D periodic Navier-Stokes equations. (English) Zbl 0874.35085 J. Math. Pures Appl., IX. Sér. 76, No. 2, 125-153 (1997). Reviewer: Th.Sonar (Hamburg) MSC: 35Q30 76D05 35B40 PDFBibTeX XMLCite \textit{P. Constantin} et al., J. Math. Pures Appl. (9) 76, No. 2, 125--153 (1997; Zbl 0874.35085) Full Text: DOI
Kukavica, Igor On the time analyticity radius of the solutions of the two-dimensional Navier-Stokes equations. (English) Zbl 0744.35033 J. Dyn. Differ. Equations 3, No. 4, 611-618 (1991). Reviewer: I.Bock (Bratislava) MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{I. Kukavica}, J. Dyn. Differ. Equations 3, No. 4, 611--618 (1991; Zbl 0744.35033) Full Text: DOI