Kukavica, Igor; Nguyen, Trinh T.; Vicol, Vlad; Wang, Fei On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations. (English) Zbl 07514298 J. Math. Fluid Mech. 24, No. 2, Paper No. 47, 46 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{I. Kukavica} et al., J. Math. Fluid Mech. 24, No. 2, Paper No. 47, 46 p. (2022; Zbl 07514298) Full Text: DOI OpenURL
Kukavica, Igor; Vicol, Vlad; Wang, Fei Remarks on the inviscid limit problem for the Navier-Stokes equations. (English) Zbl 1483.35153 Pure Appl. Funct. Anal. 7, No. 1, 283-306 (2022). MSC: 35Q30 35Q31 PDF BibTeX XML Cite \textit{I. Kukavica} et al., Pure Appl. Funct. Anal. 7, No. 1, 283--306 (2022; Zbl 1483.35153) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{J. Jang} et al., J. Differ. Equations 299, 284--332 (2021; Zbl 1476.35188) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{I. Kukavica} et al., Arch. Ration. Mech. Anal. 237, No. 2, 779--827 (2020; Zbl 1437.35539) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. M. Disconzi} et al., SIAM J. Math. Anal. 51, No. 5, 3982--4022 (2019; Zbl 1423.35464) Full Text: DOI arXiv OpenURL
Disconzi, Marcelo M.; Kukavica, Igor A priori estimates for the 3D compressible free-boundary Euler equations with surface tension in the case of a liquid. (English) Zbl 1423.35463 Evol. Equ. Control Theory 8, No. 3, 503-542 (2019). MSC: 35R35 35B45 35Q31 76N10 PDF BibTeX XML Cite \textit{M. M. Disconzi} and \textit{I. Kukavica}, Evol. Equ. Control Theory 8, No. 3, 503--542 (2019; Zbl 1423.35463) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. M. Disconzi} and \textit{I. Kukavica}, Nonlinearity 32, No. 9, 3369--3405 (2019; Zbl 1421.35260) Full Text: DOI arXiv OpenURL
Kukavica, Igor; Xu, Fanhui Local existence for the stochastic Euler equations with Lévy noise. (English) Zbl 1421.35264 Asymptotic Anal. 113, No. 1-2, 1-27 (2019). MSC: 35Q31 35R60 35A01 35A02 76B03 PDF BibTeX XML Cite \textit{I. Kukavica} and \textit{F. Xu}, Asymptotic Anal. 113, No. 1--2, 1--27 (2019; Zbl 1421.35264) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{G. Camliyurt} and \textit{I. Kukavica}, Physica D 376--377, 121--130 (2018; Zbl 1398.76021) Full Text: DOI OpenURL
Kukavica, Igor; Tuffaha, Amjad A sharp regularity result for the Euler equation with a free interface. (English) Zbl 1391.35315 Asymptotic Anal. 106, No. 2, 121-145 (2018). MSC: 35Q30 35R35 35B65 76B15 35B45 PDF BibTeX XML Cite \textit{I. Kukavica} and \textit{A. Tuffaha}, Asymptotic Anal. 106, No. 2, 121--145 (2018; Zbl 1391.35315) Full Text: DOI OpenURL
Disconzi, Marcelo M.; Kukavica, Igor On the local existence for the Euler equations with free boundary for compressible and incompressible fluids. (Sur l’existence locale de solutions des équations d’Euler pour les fluides compressibles et incompressibles, avec frontière libre.) (English. French summary) Zbl 1392.35206 C. R., Math., Acad. Sci. Paris 356, No. 3, 306-311 (2018). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 35R35 35L70 76B03 76B45 PDF BibTeX XML Cite \textit{M. M. Disconzi} and \textit{I. Kukavica}, C. R., Math., Acad. Sci. Paris 356, No. 3, 306--311 (2018; Zbl 1392.35206) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{I. Kukavica} et al., Appl. Math. Optim. 76, No. 3, 535--563 (2017; Zbl 1384.35074) Full Text: DOI OpenURL
Kukavica, Igor; Vicol, Vlad; Wang, Fei The van Dommelen and Shen singularity in the Prandtl equations. (English) Zbl 1357.35058 Adv. Math. 307, 288-311 (2017). MSC: 35B44 35Q31 PDF BibTeX XML Cite \textit{I. Kukavica} et al., Adv. Math. 307, 288--311 (2017; Zbl 1357.35058) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Ignatova} and \textit{I. Kukavica}, Asymptotic Anal. 100, No. 1--2, 63--86 (2016; Zbl 1356.35167) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Kukavica, Igor; Lombardo, Maria Carmela; Sammartino, Marco Zero viscosity limit for analytic solutions of the primitive equations. (English) Zbl 1379.35247 Arch. Ration. Mech. Anal. 222, No. 1, 15-45 (2016). Reviewer: Thomas Hagen (Memphis) MSC: 35Q35 35Q31 35B25 86A05 86A10 PDF BibTeX XML Cite \textit{I. Kukavica} et al., Arch. Ration. Mech. Anal. 222, No. 1, 15--45 (2016; Zbl 1379.35247) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{I. Kukavica} et al., Appl. Math. Optim. 73, No. 3, 523--544 (2016; Zbl 1351.35118) Full Text: DOI OpenURL
Constantin, Peter; Kukavica, Igor; Vicol, Vlad On the inviscid limit of the Navier-Stokes equations. (English) Zbl 1309.35073 Proc. Am. Math. Soc. 143, No. 7, 3075-3090 (2015). MSC: 35Q35 35Q30 76D09 PDF BibTeX XML Cite \textit{P. Constantin} et al., Proc. Am. Math. Soc. 143, No. 7, 3075--3090 (2015; Zbl 1309.35073) Full Text: DOI arXiv OpenURL
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed On the local existence for an active scalar equation. (Sur l’existence locale pour une équation de scalaires actifs.) (French. English summary) Zbl 1311.35196 C. R., Math., Acad. Sci. Paris 353, No. 3, 241-245 (2015). MSC: 35Q31 86A05 PDF BibTeX XML Cite \textit{W. Hu} et al., C. R., Math., Acad. Sci. Paris 353, No. 3, 241--245 (2015; Zbl 1311.35196) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{I. Kukavica} et al., SIAM J. Math. Anal. 46, No. 6, 3865--3890 (2014; Zbl 1317.35202) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{I. Kukavica} and \textit{A. Tuffaha}, Appl. Math. Optim. 69, No. 3, 337--358 (2014; Zbl 1300.35085) Full Text: DOI OpenURL
Kukavica, Igor; Tuffaha, Amjad On the 2D free boundary Euler equation. (English) Zbl 1282.35286 Evol. Equ. Control Theory 1, No. 2, 297-314 (2012). MSC: 35Q31 74J15 35R37 PDF BibTeX XML Cite \textit{I. Kukavica} and \textit{A. Tuffaha}, Evol. Equ. Control Theory 1, No. 2, 297--314 (2012; Zbl 1282.35286) Full Text: DOI OpenURL
Kukavica, Igor; Vicol, Vlad On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations. (English) Zbl 1213.35345 Nonlinearity 24, No. 3, 765-796 (2011). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q31 76B03 35B65 PDF BibTeX XML Cite \textit{I. Kukavica} and \textit{V. Vicol}, Nonlinearity 24, No. 3, 765--796 (2011; Zbl 1213.35345) Full Text: DOI arXiv OpenURL
Kukavica, Igor; Vicol, Vlad C. The domain of analyticity of solutions to the three-dimensional Euler equations in a half space. (English) Zbl 1308.35192 Discrete Contin. Dyn. Syst. 29, No. 1, 285-303 (2011). MSC: 35Q31 35A20 35B65 35Q30 76B03 PDF BibTeX XML Cite \textit{I. Kukavica} and \textit{V. C. Vicol}, Discrete Contin. Dyn. Syst. 29, No. 1, 285--303 (2011; Zbl 1308.35192) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{I. Kukavica} et al., J. Differ. Equations 250, No. 3, 1719--1746 (2011; Zbl 1204.35129) Full Text: DOI OpenURL
Kukavica, Igor; Temam, Roger; Vicol, Vlad; Ziane, Mohammed Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data. (English. Abridged French version) Zbl 1194.35247 C. R., Math., Acad. Sci. Paris 348, No. 11-12, 639-645 (2010). MSC: 35L50 35Q31 PDF BibTeX XML Cite \textit{I. Kukavica} et al., C. R., Math., Acad. Sci. Paris 348, No. 11--12, 639--645 (2010; Zbl 1194.35247) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{I. Kukavica}, J. Dyn. Differ. Equations 18, No. 2, 461--482 (2006; Zbl 1105.35081) Full Text: DOI OpenURL