Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Gautam Iyer"'
Publikováno v:
Archive for Rational Mechanics and Analysis. 243:1151-1180
We study anomalous dissipation in hydrodynamic turbulence in the context of passive scalars. Our main result produces an incompressible $C^\infty([0,T)\times \mathbb{T}^d)\cap L^1([0,T]; C^{1-}(\mathbb{T}^d))$ velocity field which explicitly exhibits
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff5d091a413d09d719fdf36a06257bf1
https://doi.org/10.1007/s00205-021-01736-2
https://doi.org/10.1007/s00205-021-01736-2
Publikováno v:
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 380
We consider transport of a passive scalar advected by an irregular divergence-free vector field. Given any non-constant initial data ρ ¯ ∈ H loc 1 ( R d ) , d ≥ 2 , we construct a divergence-free advecting velocity field v (depending on ρ ¯ )
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0d3542a8864c978338394688f06257d
https://doi.org/10.1098/rsta.2021.0024
https://doi.org/10.1098/rsta.2021.0024
Publikováno v:
Journal of Nonlinear Science. 30:2821-2845
The Cahn--Hilliard equation is a classic model of phase separation in binary mixtures that exhibits spontaneous coarsening of the phases. We study the Cahn--Hilliard equation with an imposed advection term in order to model the stirring and eventual
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe1356d00614e185930f82dd281df44e
https://doi.org/10.1007/s00332-020-09637-6
https://doi.org/10.1007/s00332-020-09637-6
Publikováno v:
Communications in Mathematical Sciences. 18:1815-1862
In this paper we study the asymptotic behavior of Brownian motion in both comb-shaped planar domains, and comb-shaped graphs. We show convergence to a limiting process when both the spacing between the teeth \emph{and} the width of the teeth vanish a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1dc672d6ac819c99beea2b45a5a35b09
https://doi.org/10.4310/cms.2020.v18.n7.a2
https://doi.org/10.4310/cms.2020.v18.n7.a2
Publikováno v:
Artificial Intelligence for Sustainable Finance and Sustainable Technology ISBN: 9783030934637
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2431e53fcaf0d1ac9692201340418ee6
https://doi.org/10.1007/978-3-030-93464-4_56
https://doi.org/10.1007/978-3-030-93464-4_56
Autor:
Gautam Iyer, Yuanyuan Feng
Publikováno v:
Nonlinearity. 32:1810-1851
We quantitatively study the interaction between diffusion and mixing in both the continuous, and discrete time setting. in discrete time, we consider a mixing dynamical system interposed with diffusion. in continuous time, we consider the advection d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6436915a85b5e420465d6129ce243292
https://doi.org/10.1088/1361-6544/ab0e56
https://doi.org/10.1088/1361-6544/ab0e56
Publikováno v:
Journal of Mathematical Biology
We consider a susceptible, infected, removed (SIR) system where the transmission rate may be temporarily reduced for a fixed amount of time. We show that in order to minimize the total number of fatalities, the transmission rate should be reduced on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64046729859a691ab04e51b0967ed873
https://pubmed.ncbi.nlm.nih.gov/34101040
https://pubmed.ncbi.nlm.nih.gov/34101040
Publikováno v:
Advances in Applied Probability. 50:504-542
The basis of this paper is the elementary observation that then-step descendant distribution of any Galton–Watson process satisfies a discrete Smoluchowski coagulation equation with multiple coalescence. Using this we obtain simple necessary and su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb3487282e3b81d63e695434ea9685d8
https://doi.org/10.1017/apr.2018.23
https://doi.org/10.1017/apr.2018.23
Autor:
Daniel Spirn, Gautam Iyer
Publikováno v:
Journal of Nonlinear Science. 27:1933-1956
This paper studies questions related to the dynamic transition between local and global minimizers in the Ginzburg-Landau theory of superconductivity. We derive a heuristic equation governing the dynamics of vortices that are close to the boundary, a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::221aef0f0a90e0aa3ae003b36af86f13
https://doi.org/10.1007/s00332-017-9391-4
https://doi.org/10.1007/s00332-017-9391-4
Autor:
Gautam Iyer, Xi Geng
Publikováno v:
Latin American Journal of Probability and Mathematical Statistics. 18:1297
Let M be a compact Riemannian manifold with smooth boundary. We obtain the exact long time asymptotic behaviour of the heat kernel on abelian coverings of M with mixed Dirichlet and Neumann boundary conditions. As an application, we study the long ti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fec0786bd3c014a4ee7e1ac5fc32dcc1
https://doi.org/10.30757/alea.v18-48
https://doi.org/10.30757/alea.v18-48