Iyer, Gautam; Lu, Ethan; Nolen, James Using Bernoulli maps to accelerate mixing of a random walk on the torus. (English) Zbl 07813254 Q. Appl. Math. 82, No. 2, 359-390 (2024). MSC: 37A25 60J10 76Rxx PDFBibTeX XMLCite \textit{G. Iyer} et al., Q. Appl. Math. 82, No. 2, 359--390 (2024; Zbl 07813254) Full Text: DOI arXiv
Menon, Govind (ed.); Iyer, Gautam (ed.); Liu, Jian-Guo (ed.); Slepčev, Dejan (ed.) Preface for the first special issue in honor of Bob Pego. (English) Zbl 1525.00038 Q. Appl. Math. 82, No. 1, 1-5 (2024). MSC: 00B30 35-06 76-06 01A70 PDFBibTeX XMLCite \textit{G. Menon} (ed.) et al., Q. Appl. Math. 82, No. 1, 1--5 (2024; Zbl 1525.00038) Full Text: DOI
Iyer, Gautam; Zhou, Hongyi Quantifying the dissipation enhancement of cellular flows. (English) Zbl 1528.35122 SIAM J. Math. Anal. 55, No. 6, 6496-6516 (2023). MSC: 35Q35 35B40 76M45 76R05 37A25 35R60 PDFBibTeX XMLCite \textit{G. Iyer} and \textit{H. Zhou}, SIAM J. Math. Anal. 55, No. 6, 6496--6516 (2023; Zbl 1528.35122) Full Text: DOI arXiv
Iyer, Gautam; Van, Truong-Son Bounds on the heat transfer rate via passive advection. (English) Zbl 1504.76078 SIAM J. Math. Anal. 54, No. 2, 1927-1965 (2022). MSC: 76R50 74R10 76M30 76M35 35Q35 80A19 PDFBibTeX XMLCite \textit{G. Iyer} and \textit{T.-S. Van}, SIAM J. Math. Anal. 54, No. 2, 1927--1965 (2022; Zbl 1504.76078) 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
Iyer, Gautam; Xu, Xiaoqian; Zlatoš, Andrej Convection-induced singularity suppression in the Keller-Segel and other non-linear PDEs. (English) Zbl 1477.35044 Trans. Am. Math. Soc. 374, No. 9, 6039-6058 (2021). Reviewer: Lingeshwaran Shangerganesh (Ponda) MSC: 35B44 35B27 35Q35 76R05 35K20 35K58 92C17 PDFBibTeX XMLCite \textit{G. Iyer} et al., Trans. Am. Math. Soc. 374, No. 9, 6039--6058 (2021; Zbl 1477.35044) Full Text: DOI arXiv
Feng, Yu; Feng, Yuanyuan; Iyer, Gautam; Thiffeault, Jean-Luc Phase separation in the advective Cahn-Hilliard equation. (English) Zbl 1464.76195 J. Nonlinear Sci. 30, No. 6, 2821-2845 (2020). MSC: 76R99 76T99 PDFBibTeX XMLCite \textit{Y. Feng} et al., J. Nonlinear Sci. 30, No. 6, 2821--2845 (2020; Zbl 1464.76195) 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
Hairer, Martin; Iyer, Gautam; Koralov, Leonid; Novikov, Alexei; Pajor-Gyulai, Zsolt A fractional kinetic process describing the intermediate time behaviour of cellular flows. (English) Zbl 1430.60049 Ann. Probab. 46, No. 2, 897-955 (2018). MSC: 60H10 60H30 60F17 35R11 76R50 PDFBibTeX XMLCite \textit{M. Hairer} et al., Ann. Probab. 46, No. 2, 897--955 (2018; Zbl 1430.60049) Full Text: DOI arXiv Euclid
Gie, Gung-Min; Henderson, Christopher; Iyer, Gautam; Kavlie, Landon; Whitehead, Jared P. Stability of vortex solutions to an extended Navier-Stokes system. (English) Zbl 1353.76013 Commun. Math. Sci. 14, No. 7, 1773-1797 (2016). MSC: 76D05 35Q30 65M06 76M25 PDFBibTeX XMLCite \textit{G.-M. Gie} et al., Commun. Math. Sci. 14, No. 7, 1773--1797 (2016; Zbl 1353.76013) Full Text: DOI arXiv
Iyer, Gautam; Novikov, Alexei Anomalous diffusion in fast cellular flows at intermediate time scales. (English) Zbl 1342.35029 Probab. Theory Relat. Fields 164, No. 3-4, 707-740 (2016). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35R60 60H30 76R50 PDFBibTeX XMLCite \textit{G. Iyer} and \textit{A. Novikov}, Probab. Theory Relat. Fields 164, No. 3--4, 707--740 (2016; Zbl 1342.35029) Full Text: DOI arXiv
Iyer, Gautam; Xu, Xiang; Zarnescu, Arghir D. Dynamic cubic instability in a \(2D\) \(Q\)-tensor model for liquid crystals. (English) Zbl 1328.82053 Math. Models Methods Appl. Sci. 25, No. 8, 1477-1517 (2015). Reviewer: Xingbin Pan (Shanghai) MSC: 82D30 76A15 35A15 35J50 35B35 35B44 PDFBibTeX XMLCite \textit{G. Iyer} et al., Math. Models Methods Appl. Sci. 25, No. 8, 1477--1517 (2015; Zbl 1328.82053) Full Text: DOI arXiv
Ignatova, Mihaela; Iyer, Gautam; Kelliher, James P.; Pego, Robert L.; Zarnescu, Arghir D. Global existence for two extended Navier-Stokes systems. (English) Zbl 1309.76062 Commun. Math. Sci. 13, No. 1, 249-267 (2015). MSC: 76D05 35Q30 65M06 76M25 PDFBibTeX XMLCite \textit{M. Ignatova} et al., Commun. Math. Sci. 13, No. 1, 249--267 (2015; Zbl 1309.76062) Full Text: DOI arXiv
Iyer, Gautam; Pego, Robert L.; Zarnescu, Arghir Coercivity and stability results for an extended Navier-Stokes system. (English) Zbl 1452.76049 J. Math. Phys. 53, No. 11, 115605, 26 p. (2012). MSC: 76D05 76D03 35B35 35Q30 PDFBibTeX XMLCite \textit{G. Iyer} et al., J. Math. Phys. 53, No. 11, 115605, 26 p. (2012; Zbl 1452.76049) Full Text: DOI arXiv
Constantin, Peter; Iyer, Gautam A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary. (English) Zbl 1246.76018 Ann. Appl. Probab. 21, No. 4, 1466-1492 (2011). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 76D05 35Q30 60H15 PDFBibTeX XMLCite \textit{P. Constantin} and \textit{G. Iyer}, Ann. Appl. Probab. 21, No. 4, 1466--1492 (2011; Zbl 1246.76018) Full Text: DOI arXiv
Iyer, Gautam; Novikov, Alexei; Ryzhik, Lenya; Zlatoš, Andrej Exit times of diffusions with incompressible drift. (English) Zbl 1387.35493 SIAM J. Math. Anal. 42, No. 6, 2484-2498 (2010). MSC: 35Q35 76R50 35J25 35J60 35J05 35B40 PDFBibTeX XMLCite \textit{G. Iyer} et al., SIAM J. Math. Anal. 42, No. 6, 2484--2498 (2010; Zbl 1387.35493) Full Text: DOI arXiv
Iyer, Gautam A stochastic Lagrangian proof of global existence of the Navier-Stokes equations for flows with small Reynolds number. (English) Zbl 1156.76019 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 1, 181-189 (2009). MSC: 76D06 76D03 35Q30 60H15 PDFBibTeX XMLCite \textit{G. Iyer}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 1, 181--189 (2009; Zbl 1156.76019) Full Text: DOI arXiv EuDML
Constantin, Peter; Iyer, Gautam; Wu, Jiahong Global regularity for a modified critical dissipative quasi-geostrophic equation. (English) Zbl 1159.35059 Indiana Univ. Math. J. 57, No. 6, 2681-2692 (2008). MSC: 35Q35 76B47 76B03 86A05 PDFBibTeX XMLCite \textit{P. Constantin} et al., Indiana Univ. Math. J. 57, No. 6, 2681--2692 (2008; Zbl 1159.35059) Full Text: DOI arXiv
Iyer, Gautam; Mattingly, Jonathan A stochastic-Lagrangian particle system for the Navier-Stokes equations. (English) Zbl 1158.60383 Nonlinearity 21, No. 11, 2537-2553 (2008). MSC: 60K40 76D05 60H30 PDFBibTeX XMLCite \textit{G. Iyer} and \textit{J. Mattingly}, Nonlinearity 21, No. 11, 2537--2553 (2008; Zbl 1158.60383) Full Text: DOI arXiv
Iyer, Gautam A stochastic perturbation of inviscid flows. (English) Zbl 1127.76017 Commun. Math. Phys. 266, No. 3, 631-645 (2006). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 76D03 76B03 76M35 60H15 35Q35 PDFBibTeX XMLCite \textit{G. Iyer}, Commun. Math. Phys. 266, No. 3, 631--645 (2006; Zbl 1127.76017) Full Text: DOI arXiv
Iyer, Gautam Transport in viscous rotating fluids. (English) Zbl 1084.76077 Commun. Math. Sci. 2, No. 4, 673-684 (2004). MSC: 76U05 76D05 76D03 35Q30 PDFBibTeX XMLCite \textit{G. Iyer}, Commun. Math. Sci. 2, No. 4, 673--684 (2004; Zbl 1084.76077) Full Text: DOI