He, Siming; Kiselev, Alexander Boundary layer models of the Hou-Luo scenario. (English) Zbl 1470.35270 J. Differ. Equations 298, 182-204 (2021). MSC: 35Q31 35B44 35B65 35B07 76N10 PDF BibTeX XML Cite \textit{S. He} and \textit{A. Kiselev}, J. Differ. Equations 298, 182--204 (2021; Zbl 1470.35270) Full Text: DOI arXiv OpenURL
Kiselev, Alexander A. Small scale creation in active scalars. (English) Zbl 1452.35139 Berselli, Luigi C. (ed.) et al., Progress in mathematical fluid dynamics. Cetraro, Italy, June 17–21, 2019. Lecture notes given at the summer school. Cham: Springer. Lect. Notes Math. 2272, 125-161 (2020). MSC: 35Q31 76U60 35B65 86A05 35Q86 PDF BibTeX XML Cite \textit{A. A. Kiselev}, Lect. Notes Math. 2272, 125--161 (2020; Zbl 1452.35139) Full Text: DOI OpenURL
Berselli, Luigi C. (ed.); Růžička, Michael (ed.) [Buckmaster, Tristan; Čanić, Sunčica; Constantin, Peter; Kiselev, Alexander A.] Progress in mathematical fluid dynamics. Cetraro, Italy, June 17–21, 2019. Lecture notes given at the summer school. (English) Zbl 1448.76006 Lecture Notes in Mathematics 2272. C.I.M.E. Foundation Subseries. Cham: Springer (ISBN 978-3-030-54898-8/pbk; 978-3-030-54899-5/ebook). vii, 164 p. (2020). MSC: 76-06 35-06 35Q30 35Q31 35Q35 76Dxx 00B25 PDF BibTeX XML Cite \textit{L. C. Berselli} (ed.) and \textit{M. Růžička} (ed.), Progress in mathematical fluid dynamics. Cetraro, Italy, June 17--21, 2019. Lecture notes given at the summer school. Cham: Springer (2020; Zbl 1448.76006) Full Text: DOI OpenURL
Kiselev, Alexander; Li, Chao Global regularity and fast small-scale formation for Euler patch equation in a smooth domain. (English) Zbl 1416.35195 Commun. Partial Differ. Equations 44, No. 4, 279-308 (2019). MSC: 35Q31 35B65 76B47 PDF BibTeX XML Cite \textit{A. Kiselev} and \textit{C. Li}, Commun. Partial Differ. Equations 44, No. 4, 279--308 (2019; Zbl 1416.35195) Full Text: DOI arXiv OpenURL
Kiselev, Alexander Small scales and singularity formation in fluid dynamics. (English) Zbl 1448.35398 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2363-2390 (2018). MSC: 35Q35 35Q31 76B03 35L67 35Q86 86A05 PDF BibTeX XML Cite \textit{A. Kiselev}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2363--2390 (2018; Zbl 1448.35398) Full Text: DOI arXiv OpenURL
Do, Tam; Kiselev, Alexander; Xu, Xiaoqian Stability of blowup for a 1D model of axisymmetric 3D Euler equation. (English) Zbl 1406.35249 J. Nonlinear Sci. 28, No. 6, 2127-2152 (2018). MSC: 35Q31 35B35 35B44 76D05 35B07 PDF BibTeX XML Cite \textit{T. Do} et al., J. Nonlinear Sci. 28, No. 6, 2127--2152 (2018; Zbl 1406.35249) Full Text: DOI arXiv OpenURL
Do, Tam; Kiselev, Alexander; Ryzhik, Lenya; Tan, Changhui Global regularity for the fractional Euler alignment system. (English) Zbl 1390.35370 Arch. Ration. Mech. Anal. 228, No. 1, 1-37 (2018). MSC: 35Q92 92C15 35Q31 35R11 35B36 35B65 PDF BibTeX XML Cite \textit{T. Do} et al., Arch. Ration. Mech. Anal. 228, No. 1, 1--37 (2018; Zbl 1390.35370) Full Text: DOI arXiv OpenURL
Kiselev, Alexander; Tan, Changhui Finite time blow up in the hyperbolic Boussinesq system. (English) Zbl 1382.35054 Adv. Math. 325, 34-55 (2018). MSC: 35B44 35Q31 35Q35 PDF BibTeX XML Cite \textit{A. Kiselev} and \textit{C. Tan}, Adv. Math. 325, 34--55 (2018; Zbl 1382.35054) Full Text: DOI arXiv OpenURL
Choi, Kyudong; Hou, Thomas Y.; Kiselev, Alexander; Luo, Guo; Sverak, Vladimir; Yao, Yao On the finite-time blowup of a one-dimensional model for the three-dimensional axisymmetric Euler equations. (English) Zbl 1377.35218 Commun. Pure Appl. Math. 70, No. 11, 2218-2243 (2017). MSC: 35Q31 35B44 35B07 76B03 PDF BibTeX XML Cite \textit{K. Choi} et al., Commun. Pure Appl. Math. 70, No. 11, 2218--2243 (2017; Zbl 1377.35218) Full Text: DOI Link OpenURL
Kiselev, Alexander; Yao, Yao; Zlatoš, Andrej Local regularity for the modified SQG patch equation. (English) Zbl 1371.35220 Commun. Pure Appl. Math. 70, No. 7, 1253-1315 (2017). MSC: 35Q35 35Q31 35Q86 35B65 86A05 76B03 PDF BibTeX XML Cite \textit{A. Kiselev} et al., Commun. Pure Appl. Math. 70, No. 7, 1253--1315 (2017; Zbl 1371.35220) Full Text: DOI arXiv OpenURL
Kiselev, Alexander; Ryzhik, Lenya; Yao, Yao; Zlatoš, Andrej Finite time singularity for the modified SQG patch equation. (English) Zbl 1360.35159 Ann. Math. (2) 184, No. 3, 909-948 (2016). Reviewer: Alpár R. Mészáros (Los Angeles) MSC: 35Q31 35Q86 35B65 76B03 86A05 PDF BibTeX XML Cite \textit{A. Kiselev} et al., Ann. Math. (2) 184, No. 3, 909--948 (2016; Zbl 1360.35159) Full Text: DOI arXiv Link OpenURL
Kiselev, Alexander; Zlatoš, Andrej Blow up for the 2D Euler equation on some bounded domains. (English) Zbl 1319.35174 J. Differ. Equations 259, No. 7, 3490-3494 (2015). MSC: 35Q31 35B44 35B65 PDF BibTeX XML Cite \textit{A. Kiselev} and \textit{A. Zlatoš}, J. Differ. Equations 259, No. 7, 3490--3494 (2015; Zbl 1319.35174) Full Text: DOI arXiv OpenURL
Kiselev, Alexander; Šverák, Vladimir Small scale creation for solutions of the incompressible two-dimensional Euler equation. (English) Zbl 1304.35521 Ann. Math. (2) 180, No. 3, 1205-1220 (2014). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q31 PDF BibTeX XML Cite \textit{A. Kiselev} and \textit{V. Šverák}, Ann. Math. (2) 180, No. 3, 1205--1220 (2014; Zbl 1304.35521) Full Text: DOI arXiv OpenURL
Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad Global well-posedness of slightly supercritical active scalar equations. (English) Zbl 1294.35092 Anal. PDE 7, No. 1, 43-72 (2014). MSC: 35Q35 76U05 35B44 35B50 35Q53 35B65 35Q31 PDF BibTeX XML Cite \textit{M. Dabkowski} et al., Anal. PDE 7, No. 1, 43--72 (2014; Zbl 1294.35092) Full Text: DOI arXiv OpenURL
Kiselev, Alexander; Nazarov, Fedor A simple energy pump for the surface quasi-geostrophic equation. (English) Zbl 1250.35034 Holden, Helge (ed.) et al., Nonlinear partial differential equations. The Abel symposium 2010. Proceedings of the Abel symposium, Oslo, Norway, September 28–October 2, 2010. Berlin: Springer (ISBN 978-3-642-25360-7/hbk; 978-3-642-25361-4/ebook). Abel Symposia 7, 175-179 (2012). MSC: 35B40 35Q31 86A10 35R09 35F25 PDF BibTeX XML Cite \textit{A. Kiselev} and \textit{F. Nazarov}, Abel Symp. 7, 175--179 (2012; Zbl 1250.35034) Full Text: DOI arXiv Link OpenURL
Kiselev, Alexander; Zlatoš, Andrej On discrete models of the Euler equation. (English) Zbl 1109.35083 Int. Math. Res. Not. 2005, No. 38, 2315-2339 (2005). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35Q05 76B03 76D03 37K60 PDF BibTeX XML Cite \textit{A. Kiselev} and \textit{A. Zlatoš}, Int. Math. Res. Not. 2005, No. 38, 2315--2339 (2005; Zbl 1109.35083) Full Text: DOI arXiv OpenURL