Kukavica, Igor; Tuffaha, Amjad An inviscid free boundary fluid-wave model. (English) Zbl 07709653 J. Evol. Equ. 23, No. 2, Paper No. 41, 18 p. (2023). MSC: 35Q31 76B03 74F10 74B20 74K15 35R35 35B45 35A01 35A02 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{A. Tuffaha}, J. Evol. Equ. 23, No. 2, Paper No. 41, 18 p. (2023; Zbl 07709653) Full Text: DOI
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, I.; Ożański, W. S. Local-in-time existence of a free-surface 3D Euler flow with \(H^{2+\delta}\) initial vorticity in a neighborhood of the free boundary. (English) Zbl 1511.35264 Nonlinearity 36, No. 1, 636-652 (2023). Reviewer: Dejun Luo (Beijing) MSC: 35Q31 76B03 35B35 35B45 35B65 35A01 35A02 35R35 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{W. S. Ożański}, Nonlinearity 36, No. 1, 636--652 (2023; Zbl 1511.35264) 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
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
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
Disconzi, Marcelo M.; Kukavica, Igor A priori estimates for the free-boundary Euler equations with surface tension in three dimensions. (English) Zbl 1421.35260 Nonlinearity 32, No. 9, 3369-3405 (2019). MSC: 35Q31 35R37 35B45 35B65 76B45 PDFBibTeX XMLCite \textit{M. M. Disconzi} and \textit{I. Kukavica}, Nonlinearity 32, No. 9, 3369--3405 (2019; Zbl 1421.35260) 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
Kukavica, Igor; Tuffaha, Amjad; Vicol, Vlad On the local existence and uniqueness for the 3D Euler equation with a free interface. (English) Zbl 1384.35074 Appl. Math. Optim. 76, No. 3, 535-563 (2017). MSC: 35Q31 35A01 35A02 76U05 76B03 35R35 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Appl. Math. Optim. 76, No. 3, 535--563 (2017; Zbl 1384.35074) 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
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
Constantin, Peter; Kukavica, Igor; Vicol, Vlad Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. (English) Zbl 1353.35233 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1569-1588 (2016). MSC: 35Q35 35Q30 76D09 35B65 PDFBibTeX XMLCite \textit{P. Constantin} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1569--1588 (2016; Zbl 1353.35233) Full Text: DOI arXiv
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
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity. (English) Zbl 1343.35047 Commun. Partial Differ. Equations 41, No. 2, 208-226 (2016). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B45 35B35 35B65 35K10 35Q35 PDFBibTeX XMLCite \textit{M. Ignatova} et al., Commun. Partial Differ. Equations 41, No. 2, 208--226 (2016; Zbl 1343.35047) Full Text: DOI
Kukavica, Igor; Tuffaha, Amjad A regularity result for the incompressible Euler equation with a free interface. (English) Zbl 1300.35085 Appl. Math. Optim. 69, No. 3, 337-358 (2014). MSC: 35Q31 35B65 76B45 76B15 35B45 35A01 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{A. Tuffaha}, Appl. Math. Optim. 69, No. 3, 337--358 (2014; Zbl 1300.35085) 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