Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Animikh Biswas"'
Autor:
Animikh Biswas, Randy Price
Publikováno v:
SIAM Journal on Mathematical Analysis. 53:6697-6723
In this paper, we identify conditions, based solely on the observed data, for the global well-posedness, regularity, and the asymptotic tracking property of solutions of the Newtonian relaxation (n...
Autor:
Robert A Becker, Hari Bercovici, Animikh Biswas, Alexey Cheskidov, Peter Constantin, Alp Eden, Art Frazho, Michael Jolly, Igor Kukavica, Carl Pearcy, Ricardo M S Rosa, Jean-Claude Saut, Allen Tannenbaum, Roger Temam, Edriss Titi, Dan Voiculescu
Publikováno v:
Notices of the American Mathematical Society. 69:1
This paper considers a nudging-based scheme for data assimilation for the two-dimensional (2D) Navier-Stokes equations (NSE) with periodic boundary conditions and studies the synchronization of the signal produced by this algorithm with the true sign
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49aaf9999263e689ef81e523644fed96
http://arxiv.org/abs/2108.05309
http://arxiv.org/abs/2108.05309
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 36:295-326
Based on a previously introduced downscaling data assimilation algorithm, which employs a nudging term to synchronize the coarse mesh spatial scales, we construct a determining map for recovering the full trajectories from their corresponding coarse
Autor:
Abhishek Balakrishna, Animikh Biswas
In this paper, we provide conditions, \emph{based solely on the observed velocity data}, for the global well-posedness, regularity and convergence of the Azouni-Olson-Titi data assimilation algorithm (AOT algorithm) for a Leray-Hopf weak solutions of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0c3f968a4e035c42999ee6438ee310d
We develop, analyze, and test an approximate, global data assimilation/synchronization algorithm based on purely local observations for the two-dimensional Navier-Stokes equations on the torus. We prove that, for any error threshold, if the reference
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::431b4f2694565b05f04f2348f66a6bb6
In this paper, we study existence times of strong solutions of the three-dimensional Navier-Stokes equations in time-varying analytic Gevrey classes based on Sobolev spaces H s , s > 1 2 . This complements the seminal work of Foias and Temam (1989) [
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8864350a3304b5ba293dbab7da9fa50f
http://arxiv.org/abs/1912.11192
http://arxiv.org/abs/1912.11192
Publikováno v:
Physica D: Nonlinear Phenomena. :5-14
Gevrey class technique is a widely used tool for studying higher regularity properties of solutions to dissipative equations. Maximal radius in a Gevrey class determines a small length scale associated to the decay of the Fourier power spectrum and t
Autor:
Vincent R. Martinez, Animikh Biswas
Publikováno v:
Nonlinear Analysis: Real World Applications. 35:132-157
We consider the two-dimensional (2D) Navier–Stokes equations (NSE) with space periodic boundary conditions and an algorithm for continuous data assimilation developed by Azouani et al. (2014). The algorithm is based on the observation that existenc
Publikováno v:
Journal of Functional Analysis. 269:3083-3119
In this paper, we show that the solution of the supercritical surface quasi-geostrophic (SQG) equation, with initial data in a critical Besov space, belongs to a subanalytic Gevrey class. In order to prove this, a suitable estimate on the nonlinear t