Crippa, Gianluca; Schulze, Christian Sub-exponential mixing of generalized cellular flows with bounded palenstrophy. (English) Zbl 07817641 Math. Eng. (Springfield) 5, No. 1, Paper No. 6, 12 p. (2023). MSC: 35-XX 76-XX PDFBibTeX XMLCite \textit{G. Crippa} and \textit{C. Schulze}, Math. Eng. (Springfield) 5, No. 1, Paper No. 6, 12 p. (2023; Zbl 07817641) Full Text: DOI arXiv
Zheng, Xiaoming; Hu, Weiwei; Wu, Jiahong Numerical algorithms and simulations of boundary dynamic control for optimal mixing in unsteady Stokes flows. (English) Zbl 07805005 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116455, 24 p. (2023). MSC: 76-XX 49-XX PDFBibTeX XMLCite \textit{X. Zheng} et al., Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116455, 24 p. (2023; Zbl 07805005) Full Text: DOI arXiv
Cooperman, William Exponential mixing by shear flows. (English) Zbl 1527.35334 SIAM J. Math. Anal. 55, No. 6, 7513-7528 (2023). MSC: 35Q49 35Q35 76E05 37H05 35A24 35R60 PDFBibTeX XMLCite \textit{W. Cooperman}, SIAM J. Math. Anal. 55, No. 6, 7513--7528 (2023; Zbl 1527.35334) Full Text: DOI arXiv
Ruiz-Gutiérrez, Élfego; Hasslberger, Josef; Klein, Markus; Dalgarno, Kenny; Chakraborty, Nilanjan Analysis and optimisation of mixing in binary droplet collisions. (English) Zbl 07757025 J. Fluid Mech. 973, Paper No. A38, 24 p. (2023). MSC: 76-XX PDFBibTeX XMLCite \textit{É. Ruiz-Gutiérrez} et al., J. Fluid Mech. 973, Paper No. A38, 24 p. (2023; Zbl 07757025) Full Text: DOI OA License
Hu, Weiwei; Rautenberg, Carlos N.; Zheng, Xiaoming Feedback control for fluid mixing via advection. (English) Zbl 1527.35286 J. Differ. Equations 374, 126-153 (2023). MSC: 35Q35 35Q93 35Q49 76D07 76F25 93B52 35B40 49J20 49K20 35A01 35A02 65M60 65M06 65N30 76M10 76M20 PDFBibTeX XMLCite \textit{W. Hu} et al., J. Differ. Equations 374, 126--153 (2023; Zbl 1527.35286) Full Text: DOI
Bianchini, Stefano; Zizza, Martina Properties of mixing BV vector fields. (English) Zbl 07727606 Commun. Math. Phys. 402, No. 2, 1953-2009 (2023). MSC: 35Q35 76A02 35K05 35B20 58D05 PDFBibTeX XMLCite \textit{S. Bianchini} and \textit{M. Zizza}, Commun. Math. Phys. 402, No. 2, 1953--2009 (2023; Zbl 07727606) Full Text: DOI arXiv
Seis, Christian Bounds on the rate of enhanced dissipation. (English) Zbl 1514.35324 Commun. Math. Phys. 399, No. 3, 2071-2081 (2023). MSC: 35Q30 76D05 76T30 35B65 35B05 PDFBibTeX XMLCite \textit{C. Seis}, Commun. Math. Phys. 399, No. 3, 2071--2081 (2023; Zbl 1514.35324) Full Text: DOI arXiv
Anderson, Thomas G.; Bonnet, Marc; Veerapaneni, Shravan Quantifying mixing in arbitrary fluid domains: a Padé approximation approach. (English) Zbl 07676525 Numer. Algorithms 93, No. 1, 441-458 (2023). MSC: 65Mxx PDFBibTeX XMLCite \textit{T. G. Anderson} et al., Numer. Algorithms 93, No. 1, 441--458 (2023; Zbl 07676525) Full Text: DOI
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
Bianchini, Stefano; De Nitti, Nicola Differentiability in measure of the flow associated with a nearly incompressible BV vector field. (English) Zbl 1506.35029 Arch. Ration. Mech. Anal. 246, No. 2-3, 659-734 (2022). MSC: 35B65 35F10 35Q49 PDFBibTeX XMLCite \textit{S. Bianchini} and \textit{N. De Nitti}, Arch. Ration. Mech. Anal. 246, No. 2--3, 659--734 (2022; Zbl 1506.35029) Full Text: DOI
Hu, Weiwei; Liu, Jun; Wang, Zhu Bilinear control of convection-cooling: from open-loop to closed-loop. (English) Zbl 1492.93065 Appl. Math. Optim. 86, No. 1, Paper No. 5, 33 p. (2022). MSC: 93B52 93C10 49K15 PDFBibTeX XMLCite \textit{W. Hu} et al., Appl. Math. Optim. 86, No. 1, Paper No. 5, 33 p. (2022; Zbl 1492.93065) Full Text: DOI arXiv
Bedrossian, Jacob; Blumenthal, Alex; Punshon-Smith, Samuel Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations. (English) Zbl 1513.37037 Ann. Probab. 50, No. 1, 241-303 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 37H10 37A25 37N10 60H30 76D05 PDFBibTeX XMLCite \textit{J. Bedrossian} et al., Ann. Probab. 50, No. 1, 241--303 (2022; Zbl 1513.37037) Full Text: DOI arXiv
Drivas, Theodore D.; Elgindi, Tarek M.; Iyer, Gautam; Jeong, In-Jee Anomalous dissipation in passive scalar transport. (English) Zbl 1508.35069 Arch. Ration. Mech. Anal. 243, No. 3, 1151-1180 (2022). MSC: 35Q35 76F25 76B03 35B65 28A80 PDFBibTeX XMLCite \textit{T. D. Drivas} et al., Arch. Ration. Mech. Anal. 243, No. 3, 1151--1180 (2022; Zbl 1508.35069) Full Text: DOI arXiv
Dalibard, Anne-Laure (ed.); Le Bris, Claude (ed.); Souganidis, Panagiotis E. (ed.) Homogenization theory: periodic and beyond. Abstracts from the workshop held March 14–20, 2021 (online meeting). (English) Zbl 1487.00036 Oberwolfach Rep. 18, No. 1, 791-852 (2021). MSC: 00B05 00B25 35-06 60-06 35J15 35J70 60G55 60G60 74Q15 76M50 35B27 PDFBibTeX XMLCite \textit{A.-L. Dalibard} (ed.) et al., Oberwolfach Rep. 18, No. 1, 791--852 (2021; Zbl 1487.00036) Full Text: DOI
Colombo, Maria; Coti Zelati, Michele; Widmayer, Klaus Mixing and diffusion for rough shear flows. (English) Zbl 1493.76094 Ars Inven. Anal. 2021, Paper No. 2, 21 p. (2021). MSC: 76R50 35Q35 PDFBibTeX XMLCite \textit{M. Colombo} et al., Ars Inven. Anal. 2021, Paper No. 2, 21 p. (2021; Zbl 1493.76094) Full Text: DOI arXiv
Ding, Lingyun; Hunt, Robert; McLaughlin, Richard M.; Woodie, Hunter Enhanced diffusivity and skewness of a diffusing tracer in the presence of an oscillating wall. (English) Zbl 1467.82082 Res. Math. Sci. 8, No. 3, Paper No. 34, 29 p. (2021). MSC: 82C70 82M22 82M31 76D05 76R50 35Q30 PDFBibTeX XMLCite \textit{L. Ding} et al., Res. Math. Sci. 8, No. 3, Paper No. 34, 29 p. (2021; Zbl 1467.82082) Full Text: DOI arXiv
Bedrossian, Jacob; Blumenthal, Alex; Punshon-Smith, Sam Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes. (English) Zbl 1465.37099 Probab. Theory Relat. Fields 179, No. 3-4, 777-834 (2021). MSC: 37N10 37A25 35R60 60H15 76D06 76F20 PDFBibTeX XMLCite \textit{J. Bedrossian} et al., Probab. Theory Relat. Fields 179, No. 3--4, 777--834 (2021; Zbl 1465.37099) Full Text: DOI arXiv
Hu, Weiwei An approximating control design for optimal mixing by Stokes flows. (English) Zbl 1448.35527 Appl. Math. Optim. 82, No. 2, 471-498 (2020). MSC: 35Q93 37A25 49J20 49K20 76B75 76F25 PDFBibTeX XMLCite \textit{W. Hu}, Appl. Math. Optim. 82, No. 2, 471--498 (2020; Zbl 1448.35527) Full Text: DOI arXiv
Dai, Yichen; Hu, Weiwei; Wu, Jiahong; Xiao, Bei The Littlewood-Paley decomposition for periodic functions and applications to the Boussinesq equations. (English) Zbl 1444.42023 Anal. Appl., Singap. 18, No. 4, 639-682 (2020). MSC: 42B25 42B37 35A02 35Q35 76D03 PDFBibTeX XMLCite \textit{Y. Dai} et al., Anal. Appl., Singap. 18, No. 4, 639--682 (2020; Zbl 1444.42023) Full Text: DOI
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
Seis, Christian On the Littlewood-Paley spectrum for passive scalar transport equations. (English) Zbl 1434.76050 J. Nonlinear Sci. 30, No. 2, 645-656 (2020). MSC: 76F25 76F35 35K10 PDFBibTeX XMLCite \textit{C. Seis}, J. Nonlinear Sci. 30, No. 2, 645--656 (2020; Zbl 1434.76050) Full Text: DOI arXiv
Crippa, Gianluca; Lucà, Renato; Schulze, Christian Polynomial mixing under a certain stationary Euler flow. (English) Zbl 1451.76035 Physica D 394, 44-55 (2019). MSC: 76B99 37A25 37E35 35Q31 PDFBibTeX XMLCite \textit{G. Crippa} et al., Physica D 394, 44--55 (2019; Zbl 1451.76035) Full Text: DOI arXiv
Zillinger, Christian On geometric and analytic mixing scales: comparability and convergence rates for transport problems. (English) Zbl 1427.76085 Pure Appl. Anal. 1, No. 4, 543-570 (2019). MSC: 76F25 35Q35 35Q31 42C10 PDFBibTeX XMLCite \textit{C. Zillinger}, Pure Appl. Anal. 1, No. 4, 543--570 (2019; Zbl 1427.76085) Full Text: DOI arXiv
Elgindi, Tarek M.; Zlatoš, Andrej Universal mixers in all dimensions. (English) Zbl 1428.35357 Adv. Math. 356, Article ID 106807, 33 p. (2019). MSC: 35Q35 35B44 76D99 PDFBibTeX XMLCite \textit{T. M. Elgindi} and \textit{A. Zlatoš}, Adv. Math. 356, Article ID 106807, 33 p. (2019; Zbl 1428.35357) Full Text: DOI arXiv
Feng, Yuanyuan; Iyer, Gautam Dissipation enhancement by mixing. (English) Zbl 1411.76037 Nonlinearity 32, No. 5, 1810-1851 (2019). MSC: 76F25 37A25 76R50 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{G. Iyer}, Nonlinearity 32, No. 5, 1810--1851 (2019; Zbl 1411.76037) Full Text: DOI arXiv
Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L. Exponential self-similar mixing by incompressible flows. (English) Zbl 1456.35158 J. Am. Math. Soc. 32, No. 2, 445-490 (2019). MSC: 35Q35 76F25 PDFBibTeX XMLCite \textit{G. Alberti} et al., J. Am. Math. Soc. 32, No. 2, 445--490 (2019; Zbl 1456.35158) Full Text: DOI arXiv
Miles, Christopher J.; Doering, Charles R. A shell model for optimal mixing. (English) Zbl 1448.76147 J. Nonlinear Sci. 28, No. 6, 2153-2186 (2018). MSC: 76R99 76D55 76B75 37N10 PDFBibTeX XMLCite \textit{C. J. Miles} and \textit{C. R. Doering}, J. Nonlinear Sci. 28, No. 6, 2153--2186 (2018; Zbl 1448.76147) Full Text: DOI
Hu, Weiwei Boundary control for optimal mixing by Stokes flows. (English) Zbl 1398.35253 Appl. Math. Optim. 78, No. 1, 201-217 (2018). MSC: 35Q93 37A25 49J20 49K20 76B75 76F25 93C20 PDFBibTeX XMLCite \textit{W. Hu}, Appl. Math. Optim. 78, No. 1, 201--217 (2018; Zbl 1398.35253) Full Text: DOI
Hu, Weiwei; Wu, Jiahong Boundary control for optimal mixing via Navier-Stokes flows. (English) Zbl 1472.49005 SIAM J. Control Optim. 56, No. 4, 2768-2801 (2018). MSC: 49J20 49K20 35Q93 35Q35 35B65 76D05 76D55 76F25 PDFBibTeX XMLCite \textit{W. Hu} and \textit{J. Wu}, SIAM J. Control Optim. 56, No. 4, 2768--2801 (2018; Zbl 1472.49005) Full Text: DOI
Crippa, Gianluca; Schulze, Christian Cellular mixing with bounded palenstrophy. (English) Zbl 1379.35236 Math. Models Methods Appl. Sci. 27, No. 12, 2297-2320 (2017). MSC: 35Q35 76F25 PDFBibTeX XMLCite \textit{G. Crippa} and \textit{C. Schulze}, Math. Models Methods Appl. Sci. 27, No. 12, 2297--2320 (2017; Zbl 1379.35236) Full Text: DOI arXiv
Froyland, Gary; Santitissadeekorn, Naratip Optimal mixing enhancement. (English) Zbl 1373.37179 SIAM J. Appl. Math. 77, No. 4, 1444-1470 (2017). MSC: 37M25 34H10 35P99 90C90 PDFBibTeX XMLCite \textit{G. Froyland} and \textit{N. Santitissadeekorn}, SIAM J. Appl. Math. 77, No. 4, 1444--1470 (2017; Zbl 1373.37179) Full Text: DOI arXiv
Kiselev, Alexander; Xu, Xiaoqian Suppression of chemotactic explosion by mixing. (English) Zbl 1351.35233 Arch. Ration. Mech. Anal. 222, No. 2, 1077-1112 (2016). MSC: 35Q92 92C17 PDFBibTeX XMLCite \textit{A. Kiselev} and \textit{X. Xu}, Arch. Ration. Mech. Anal. 222, No. 2, 1077--1112 (2016; Zbl 1351.35233) Full Text: DOI arXiv
Jabin, Pierre-Emmanuel Critical non-Sobolev regularity for continuity equations with rough velocity fields. (English) Zbl 1347.35075 J. Differ. Equations 260, No. 5, 4739-4757 (2016). MSC: 35F10 34C11 35L45 37C10 34A12 34A36 PDFBibTeX XMLCite \textit{P.-E. Jabin}, J. Differ. Equations 260, No. 5, 4739--4757 (2016; Zbl 1347.35075) Full Text: DOI arXiv
Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L. Exponential self-similar mixing and loss of regularity for continuity equations. (Mélange auto-similaire exponentiel et perte de régularité pour l’équation de continuité.) (English. French summary) Zbl 1302.35241 C. R., Math., Acad. Sci. Paris 352, No. 11, 901-906 (2014). MSC: 35L65 35B40 35B65 35C06 35Q35 37N10 37A25 PDFBibTeX XMLCite \textit{G. Alberti} et al., C. R., Math., Acad. Sci. Paris 352, No. 11, 901--906 (2014; Zbl 1302.35241) Full Text: DOI arXiv Link