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; Le, Quinn On quantitative uniqueness for parabolic equations. (English) Zbl 1504.35003 J. Differ. Equations 341, 438-480 (2022). MSC: 35A02 35B60 35K20 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{Q. Le}, J. Differ. Equations 341, 438--480 (2022; Zbl 1504.35003) Full Text: DOI arXiv
Jang, Juhi; Kukavica, Igor; Li, Linfeng Mach limits in analytic spaces on exterior domains. (English) Zbl 1504.35259 Discrete Contin. Dyn. Syst. 42, No. 8, 3629-3659 (2022). MSC: 35Q31 76N10 35A01 35A02 35B32 28A80 PDFBibTeX XMLCite \textit{J. Jang} et al., Discrete Contin. Dyn. Syst. 42, No. 8, 3629--3659 (2022; Zbl 1504.35259) 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
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
Jang, Juhi; Kukavica, Igor; Li, Linfeng Mach limits in analytic spaces. (English) Zbl 1476.35188 J. Differ. Equations 299, 284-332 (2021). MSC: 35Q31 76N10 PDFBibTeX XMLCite \textit{J. Jang} et al., J. Differ. Equations 299, 284--332 (2021; Zbl 1476.35188) Full Text: DOI arXiv
Kukavica, Igor; Wang, Weinan Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity. (English) Zbl 1452.35039 J. Dyn. Differ. Equations 32, No. 4, 2061-2077 (2020). MSC: 35B40 35Q35 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{W. Wang}, J. Dyn. Differ. Equations 32, No. 4, 2061--2077 (2020; Zbl 1452.35039) 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
Disconzi, Marcelo M.; Kukavica, Igor; Tuffaha, Amjad A Lagrangian interior regularity result for the incompressible free boundary Euler equation with surface tension. (English) Zbl 1423.35464 SIAM J. Math. Anal. 51, No. 5, 3982-4022 (2019). MSC: 35R35 35Q31 PDFBibTeX XMLCite \textit{M. M. Disconzi} et al., SIAM J. Math. Anal. 51, No. 5, 3982--4022 (2019; Zbl 1423.35464) Full Text: DOI arXiv
Camliyurt, Guher; Kukavica, Igor Quantitative unique continuation for a parabolic equation. (English) Zbl 1402.35134 Indiana Univ. Math. J. 67, No. 2, 657-678 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 35K10 35B40 35B10 35B60 PDFBibTeX XMLCite \textit{G. Camliyurt} and \textit{I. Kukavica}, Indiana Univ. Math. J. 67, No. 2, 657--678 (2018; Zbl 1402.35134) Full Text: DOI arXiv
Camliyurt, Guher; Kukavica, Igor On the Lagrangian and Eulerian analyticity for the Euler equations. (English) Zbl 1398.76021 Physica D 376-377, 121-130 (2018). MSC: 76B03 PDFBibTeX XMLCite \textit{G. Camliyurt} and \textit{I. Kukavica}, Physica D 376--377, 121--130 (2018; Zbl 1398.76021) Full Text: DOI
Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad Gevrey regularity for the Navier-Stokes in a half-space. (English) Zbl 1397.35049 J. Differ. Equations 265, No. 9, 4052-4075 (2018). MSC: 35B65 35Q30 PDFBibTeX XMLCite \textit{G. Camliyurt} et al., J. Differ. Equations 265, No. 9, 4052--4075 (2018; Zbl 1397.35049) Full Text: DOI
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 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
Ignatova, Mihaela; Kukavica, Igor Strong unique continuation for the Navier-Stokes equation with non-analytic forcing. (English) Zbl 1307.35195 J. Dyn. Differ. Equations 25, No. 1, 1-15 (2013). MSC: 35Q30 35B60 PDFBibTeX XMLCite \textit{M. Ignatova} and \textit{I. Kukavica}, J. Dyn. Differ. Equations 25, No. 1, 1--15 (2013; Zbl 1307.35195) Full Text: DOI
Ignatova, Mihaela; Kukavica, Igor; Ziane, Mohammed Local existence of solutions to the free boundary value problem for the primitive equations of the ocean. (English) Zbl 1278.76011 J. Math. Phys. 53, No. 10, 103101, 17 p. (2012). MSC: 76B03 76B07 76E20 86A05 86A10 49K40 PDFBibTeX XMLCite \textit{M. Ignatova} et al., J. Math. Phys. 53, No. 10, 103101, 17 p. (2012; Zbl 1278.76011) Full Text: DOI Link
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; Vicol, Vlad On the radius of analyticity of solutions to the three-dimensional Euler equations. (English) Zbl 1156.76010 Proc. Am. Math. Soc. 137, No. 2, 669-677 (2009). MSC: 76B03 35Q35 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{V. Vicol}, Proc. Am. Math. Soc. 137, No. 2, 669--677 (2009; Zbl 1156.76010) 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 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; Malcok, Mehmet Backward behavior of solutions of the Kuramoto-Sivashinsky equation. (English) Zbl 1080.35121 J. Math. Anal. Appl. 307, No. 2, 455-464 (2005). MSC: 35Q53 37L30 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{M. Malcok}, J. Math. Anal. Appl. 307, No. 2, 455--464 (2005; Zbl 1080.35121) Full Text: DOI
Kukavica, Igor; Robinson, James C. Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem. (English) Zbl 1058.35045 Physica D 196, No. 1-2, 45-66 (2004). MSC: 35B41 35Q53 35Q30 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{J. C. Robinson}, Physica D 196, No. 1--2, 45--66 (2004; Zbl 1058.35045) 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
Grujić, Zoran; Kukavica, Igor A remark on time-analyticity for the Kuramoto–Sivashinsky equation. (English) Zbl 1020.35095 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 1, 69-78 (2003). Reviewer: Bruno Scarpellini (Basel) MSC: 35Q53 35B65 37K10 PDFBibTeX XMLCite \textit{Z. Grujić} and \textit{I. Kukavica}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 1, 69--78 (2003; Zbl 1020.35095) Full Text: DOI
Grujić, Zoran; Kukavica, Igor Space analyticity for the nonlinear heat equation in a bounded domain. (English) Zbl 0926.35026 J. Differ. Equations 154, No. 1, 42-54 (1999). Reviewer: Dian K.Palagachev (Bari) MSC: 35B65 35K60 35B05 PDFBibTeX XMLCite \textit{Z. Grujić} and \textit{I. Kukavica}, J. Differ. Equations 154, No. 1, 42--54 (1999; Zbl 0926.35026) Full Text: DOI Link
Kukavica, Igor Self-similar variables and the complex Ginzburg-Landau equation. (English) Zbl 0927.35106 Commun. Partial Differ. Equations 24, No. 3-4, 545-562 (1999). Reviewer: Jan Chrastina (Brno) MSC: 35Q55 35B05 PDFBibTeX XMLCite \textit{I. Kukavica}, Commun. Partial Differ. Equations 24, No. 3--4, 545--562 (1999; Zbl 0927.35106) Full Text: DOI
Grujić, Zoran; Kukavica, Igor Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\). (English) Zbl 0896.35105 J. Funct. Anal. 152, No. 2, 447-466 (1998). Reviewer: V.A.Sava (Iaşi) MSC: 35Q30 35B65 PDFBibTeX XMLCite \textit{Z. Grujić} and \textit{I. Kukavica}, J. Funct. Anal. 152, No. 2, 447--466 (1998; Zbl 0896.35105) Full Text: DOI
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
Foias, Ciprian; Kukavica, Igor Determining nodes for the Kuramoto-Sivashinsky equation. (English) Zbl 0835.35067 J. Dyn. Differ. Equations 7, No. 2, 365-373 (1995). Reviewer: Guo Boling (Beijing) MSC: 35K55 35K30 35Q35 35B40 PDFBibTeX XMLCite \textit{C. Foias} and \textit{I. Kukavica}, J. Dyn. Differ. Equations 7, No. 2, 365--373 (1995; Zbl 0835.35067) Full Text: DOI
Kukavica, Igor Oscillations of solutions of the Kuramoto-Sivashinsky equation. (English) Zbl 0824.35114 Physica D 76, No. 4, 369-374 (1994). MSC: 35Q53 35B05 PDFBibTeX XMLCite \textit{I. Kukavica}, Physica D 76, No. 4, 369--374 (1994; Zbl 0824.35114) Full Text: DOI
Kukavica, Igor An absence of a certain class of periodic solutions in the Navier-Stokes equations. (English) Zbl 0795.35005 J. Dyn. Differ. Equations 6, No. 1, 175-183 (1994). MSC: 35B10 35Q30 PDFBibTeX XMLCite \textit{I. Kukavica}, J. Dyn. Differ. Equations 6, No. 1, 175--183 (1994; Zbl 0795.35005) 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