Ghoul, Tej-Eddine; Masmoudi, Nader; Pacherie, Eliot Nonlinear enhanced dissipation in viscous Burgers type equations. II. (English) Zbl 07793274 Commun. Partial Differ. Equations 48, No. 10-12, 1286-1322 (2023). MSC: 35Q53 35Q79 35K05 35B41 35B40 35C06 PDFBibTeX XMLCite \textit{T.-E. Ghoul} et al., Commun. Partial Differ. Equations 48, No. 10--12, 1286--1322 (2023; Zbl 07793274) Full Text: DOI arXiv
Coti Zelati, Michele; Gallay, Thierry Enhanced dissipation and Taylor dispersion in higher-dimensional parallel shear flows. (English) Zbl 1527.35270 J. Lond. Math. Soc., II. Ser. 108, No. 4, 1358-1392 (2023). MSC: 35Q35 35H10 47B44 76E05 35A01 35A02 PDFBibTeX XMLCite \textit{M. Coti Zelati} and \textit{T. Gallay}, J. Lond. Math. Soc., II. Ser. 108, No. 4, 1358--1392 (2023; Zbl 1527.35270) Full Text: DOI arXiv OA License
Wang, Luqi; Zhang, Zhifei; Zhu, Hao Dynamics near Couette flow for the \(\beta \)-plane equation. (English) Zbl 07748444 Adv. Math. 432, Article ID 109261, 67 p. (2023). MSC: 35Q86 35Q31 76U60 76B03 76E20 86A05 35C07 35A01 35A02 35A01 35A02 PDFBibTeX XMLCite \textit{L. Wang} et al., Adv. Math. 432, Article ID 109261, 67 p. (2023; Zbl 07748444) Full Text: DOI arXiv
Chen, Qi; Wei, Dongyi; Zhang, Zhifei Linear stability of pipe Poiseuille flow at high Reynolds number regime. (English) Zbl 07748329 Commun. Pure Appl. Math. 76, No. 9, 1868-1964 (2023). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{Q. Chen} et al., Commun. Pure Appl. Math. 76, No. 9, 1868--1964 (2023; Zbl 07748329) Full Text: DOI arXiv
Chaturvedi, Sanchit; Luk, Jonathan; Nguyen, Toan T. The Vlasov-Poisson-Landau system in the weakly collisional regime. (English) Zbl 1522.35505 J. Am. Math. Soc. 36, No. 4, 1103-1189 (2023). MSC: 35Q83 35Q84 82C40 82C31 82D10 78A35 76X05 35B65 35A01 PDFBibTeX XMLCite \textit{S. Chaturvedi} et al., J. Am. Math. Soc. 36, No. 4, 1103--1189 (2023; Zbl 1522.35505) Full Text: DOI arXiv
Li, Hui; Zhao, Weiren Metastability for the dissipative quasi-geostrophic equation and the non-local enhancement. (English) Zbl 07707354 Commun. Math. Phys. 401, No. 2, 1383-1415 (2023). MSC: 35Q35 35Q86 76D05 86A05 35B35 26A33 35R11 PDFBibTeX XMLCite \textit{H. Li} and \textit{W. Zhao}, Commun. Math. Phys. 401, No. 2, 1383--1415 (2023; Zbl 07707354) Full Text: DOI arXiv
Castro, Ángel; Lear, Daniel Traveling waves near Couette flow for the 2D Euler equation. (English) Zbl 1516.35314 Commun. Math. Phys. 400, No. 3, 2005-2079 (2023). MSC: 35Q31 76B03 35C07 35B20 35B32 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{Á. Castro} and \textit{D. Lear}, Commun. Math. Phys. 400, No. 3, 2005--2079 (2023; Zbl 1516.35314) Full Text: DOI arXiv
Jia, Hao Uniform linear inviscid damping and enhanced dissipation near monotonic shear flows in high Reynolds number regime. I: The whole space case. (English) Zbl 07692231 J. Math. Fluid Mech. 25, No. 3, Paper No. 42, 38 p. (2023). MSC: 76D05 76E05 35Q30 PDFBibTeX XMLCite \textit{H. Jia}, J. Math. Fluid Mech. 25, No. 3, Paper No. 42, 38 p. (2023; Zbl 07692231) Full Text: DOI arXiv
Chen, Qi; Wei, Dongyi; Zhang, Zhifei Linear inviscid damping and enhanced dissipation for monotone shear flows. (English) Zbl 1514.35310 Commun. Math. Phys. 400, No. 1, 215-276 (2023). MSC: 35Q30 35Q31 76D05 76T30 76E05 35B65 PDFBibTeX XMLCite \textit{Q. Chen} et al., Commun. Math. Phys. 400, No. 1, 215--276 (2023; Zbl 1514.35310) Full Text: DOI
Ren, Siqi; Wang, Luqi; Wei, Dongyi; Zhang, Zhifei Linear inviscid damping and vortex axisymmetrization via the vector field method. (English) Zbl 1512.35461 J. Funct. Anal. 285, No. 1, Article ID 109919, 41 p. (2023). MSC: 35Q31 76E05 76B47 35B06 35B07 PDFBibTeX XMLCite \textit{S. Ren} et al., J. Funct. Anal. 285, No. 1, Article ID 109919, 41 p. (2023; Zbl 1512.35461) Full Text: DOI
Coti Zelati, Michele; Elgindi, Tarek M.; Widmayer, Klaus Stationary structures near the Kolmogorov and Poiseuille flows in the 2d Euler equations. (English) Zbl 1509.35195 Arch. Ration. Mech. Anal. 247, No. 1, Paper No. 12, 37 p. (2023). MSC: 35Q31 76B03 76D05 76E30 35B65 35B36 PDFBibTeX XMLCite \textit{M. Coti Zelati} et al., Arch. Ration. Mech. Anal. 247, No. 1, Paper No. 12, 37 p. (2023; Zbl 1509.35195) Full Text: DOI arXiv
Feng, Yuanyuan; Mazzucato, Anna L.; Nobili, Camilla Enhanced dissipation by circularly symmetric and parallel pipe flows. (English) Zbl 1509.35217 Physica D 445, Article ID 133640, 13 p. (2023). MSC: 35Q35 76R50 76F25 35B06 PDFBibTeX XMLCite \textit{Y. Feng} et al., Physica D 445, Article ID 133640, 13 p. (2023; Zbl 1509.35217) Full Text: DOI
Masmoudi, Nader; Zhao, Weiren Stability threshold of two-dimensional Couette flow in Sobolev spaces. (English) Zbl 1510.35212 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 2, 245-325 (2022). MSC: 35Q30 76D05 35B35 35B40 PDFBibTeX XMLCite \textit{N. Masmoudi} and \textit{W. Zhao}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 2, 245--325 (2022; Zbl 1510.35212) Full Text: DOI arXiv
Lin, Zhiwu; Wei, Dongyi; Zhang, Zhifei; Zhu, Hao The number of traveling wave families in a running water with Coriolis force. (English) Zbl 1505.35293 Arch. Ration. Mech. Anal. 246, No. 2-3, 475-533 (2022). MSC: 35Q31 76U65 76E20 76B25 86A05 35C07 PDFBibTeX XMLCite \textit{Z. Lin} et al., Arch. Ration. Mech. Anal. 246, No. 2--3, 475--533 (2022; Zbl 1505.35293) Full Text: DOI arXiv
Maspero, A. Growth of Sobolev norms in linear Schrödinger equations as a dispersive phenomenon. (English) Zbl 1504.35424 Adv. Math. 411, Part A, Article ID 108800, 48 p. (2022). MSC: 35Q41 35S10 37K45 PDFBibTeX XMLCite \textit{A. Maspero}, Adv. Math. 411, Part A, Article ID 108800, 48 p. (2022; Zbl 1504.35424) Full Text: DOI arXiv
Bianchini, Roberta; Zelati, Michele Coti; Dolce, Michele Linear inviscid damping for shear flows near Couette in the 2D stably stratified regime. (English) Zbl 1502.35104 Indiana Univ. Math. J. 71, No. 4, 1467-1504 (2022). MSC: 35Q35 35Q31 76D50 PDFBibTeX XMLCite \textit{R. Bianchini} et al., Indiana Univ. Math. J. 71, No. 4, 1467--1504 (2022; Zbl 1502.35104) Full Text: DOI arXiv
Ionescu, Alexandru D.; Jia, Hao Linear vortex symmetrization: the spectral density function. (English) Zbl 1504.35258 Arch. Ration. Mech. Anal. 246, No. 1, 61-137 (2022). MSC: 35Q31 76B47 35B40 PDFBibTeX XMLCite \textit{A. D. Ionescu} and \textit{H. Jia}, Arch. Ration. Mech. Anal. 246, No. 1, 61--137 (2022; Zbl 1504.35258) Full Text: DOI arXiv
Masmoudi, Nader; Said-Houari, Belkacem; Zhao, Weiren Stability of the Couette flow for a 2D Boussinesq system without thermal diffusivity. (English) Zbl 1504.35361 Arch. Ration. Mech. Anal. 245, No. 2, 645-752 (2022). MSC: 35Q35 76D05 76D50 76R10 76E06 PDFBibTeX XMLCite \textit{N. Masmoudi} et al., Arch. Ration. Mech. Anal. 245, No. 2, 645--752 (2022; Zbl 1504.35361) Full Text: DOI arXiv
Ding, Shijin; Lin, Zhilin Enhanced dissipation and transition threshold for the 2-D plane Poiseuille flow via resolvent estimate. (English) Zbl 1513.35423 J. Differ. Equations 332, 404-439 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 35R35 76D05 76E30 PDFBibTeX XMLCite \textit{S. Ding} and \textit{Z. Lin}, J. Differ. Equations 332, 404--439 (2022; Zbl 1513.35423) Full Text: DOI arXiv
Feng, Yuanyuan; Mazzucato, Anna L. Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection. (English) Zbl 1484.35255 Commun. Partial Differ. Equations 47, No. 2, 279-306 (2022). MSC: 35K35 35K58 76E06 76F25 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{A. L. Mazzucato}, Commun. Partial Differ. Equations 47, No. 2, 279--306 (2022; Zbl 1484.35255) Full Text: DOI arXiv
Ren, Siqi; Wei, Dongyi; Zhang, Zhifei Long time behavior of Alfvén waves in flowing plasma: the destruction of the magnetic island. (English) Zbl 1475.76050 SIAM J. Math. Anal. 53, No. 5, 5548-5579 (2021). MSC: 76E25 76X05 76W05 35Q35 35Q60 PDFBibTeX XMLCite \textit{S. Ren} et al., SIAM J. Math. Anal. 53, No. 5, 5548--5579 (2021; Zbl 1475.76050) Full Text: DOI
Zillinger, Christian Linear inviscid damping in Sobolev and Gevrey spaces. (English) Zbl 1521.76131 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112492, 15 p. (2021). Reviewer: Raphaël Danchin (Paris) MSC: 76E05 76B03 35Q31 PDFBibTeX XMLCite \textit{C. Zillinger}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112492, 15 p. (2021; Zbl 1521.76131) Full Text: DOI arXiv
Wei, Dongyi Diffusion and mixing in fluid flow via the resolvent estimate. (English) Zbl 1464.35260 Sci. China, Math. 64, No. 3, 507-518 (2021). MSC: 35Q35 PDFBibTeX XMLCite \textit{D. Wei}, Sci. China, Math. 64, No. 3, 507--518 (2021; Zbl 1464.35260) Full Text: DOI arXiv
Coti Zelati, Michele; Dolce, Michele Separation of time-scales in drift-diffusion equations on \(\mathbb{R}^2\). (English. French summary) Zbl 1448.35388 J. Math. Pures Appl. (9) 142, 58-75 (2020). MSC: 35Q35 35K15 76F25 35B06 76U05 PDFBibTeX XMLCite \textit{M. Coti Zelati} and \textit{M. Dolce}, J. Math. Pures Appl. (9) 142, 58--75 (2020; Zbl 1448.35388) Full Text: DOI arXiv
Coti Zelati, Michele; Elgindi, Tarek M.; Widmayer, Klaus Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow. (English) Zbl 1446.35095 Commun. Math. Phys. 378, No. 2, 987-1010 (2020). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{M. Coti Zelati} et al., Commun. Math. Phys. 378, No. 2, 987--1010 (2020; Zbl 1446.35095) Full Text: DOI arXiv
Beck, Margaret; Cooper, Eric; Lord, Gabriel; Spiliopoulos, Konstantinos Selection of quasi-stationary states in the stochastically forced Navier-Stokes equation on the torus. (English) Zbl 1446.37064 J. Nonlinear Sci. 30, No. 4, 1677-1702 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 37L55 37N10 37H10 35Q30 76D05 76D06 76D17 PDFBibTeX XMLCite \textit{M. Beck} et al., J. Nonlinear Sci. 30, No. 4, 1677--1702 (2020; Zbl 1446.37064) Full Text: DOI arXiv
Coti Zelati, Michele Stable mixing estimates in the infinite Péclet number limit. (English) Zbl 1445.35056 J. Funct. Anal. 279, No. 4, Article ID 108562, 24 p. (2020). Reviewer: Andrei Perjan (Chişinău) MSC: 35B40 35K15 35Q35 76F25 76R50 PDFBibTeX XMLCite \textit{M. Coti Zelati}, J. Funct. Anal. 279, No. 4, Article ID 108562, 24 p. (2020; Zbl 1445.35056) Full Text: DOI arXiv
Wei, Dongyi; Zhang, Zhifei; Zhu, Hao Linear inviscid damping for the \(\beta \)-plane equation. (English) Zbl 1448.76179 Commun. Math. Phys. 375, No. 1, 127-174 (2020). MSC: 76U60 35Q35 35Q86 86A05 86A10 PDFBibTeX XMLCite \textit{D. Wei} et al., Commun. Math. Phys. 375, No. 1, 127--174 (2020; Zbl 1448.76179) Full Text: DOI arXiv
Ionescu, Alexandru D.; Jia, Hao Inviscid damping near the Couette flow in a channel. (English) Zbl 1468.76025 Commun. Math. Phys. 374, No. 3, 2015-2096 (2020). Reviewer: Emmanuel Grenier (Lyon) MSC: 76E05 35Q35 PDFBibTeX XMLCite \textit{A. D. Ionescu} and \textit{H. Jia}, Commun. Math. Phys. 374, No. 3, 2015--2096 (2020; Zbl 1468.76025) Full Text: DOI arXiv
Jia, Hao Linear inviscid damping in Gevrey spaces. (English) Zbl 1434.35079 Arch. Ration. Mech. Anal. 235, No. 2, 1327-1355 (2020). MSC: 35Q31 76E05 35B40 76B47 35B35 PDFBibTeX XMLCite \textit{H. Jia}, Arch. Ration. Mech. Anal. 235, No. 2, 1327--1355 (2020; Zbl 1434.35079) Full Text: DOI arXiv
Jia, Hao Linear inviscid damping near monotone shear flows. (English) Zbl 1431.35089 SIAM J. Math. Anal. 52, No. 1, 623-652 (2020). MSC: 35P05 35Q31 76E05 PDFBibTeX XMLCite \textit{H. Jia}, SIAM J. Math. Anal. 52, No. 1, 623--652 (2020; Zbl 1431.35089) Full Text: DOI arXiv