Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Michael S. Jolly"'
Publikováno v:
Communications in Mathematical Physics. 387:551-596
This paper studies the dissipative generalized surface quasi-geostrophic equations in a supercritical regime where the order of the dissipation is small relative to order of the velocity, and the velocities are less regular than the advected scalar b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48186296d382cc8de180c829551d8e36
https://doi.org/10.1007/s00220-021-04124-9
https://doi.org/10.1007/s00220-021-04124-9
Publikováno v:
Nonlinearity, vol 34, iss 1
Funder: John Simon Guggenheim Memorial Foundation; doi: https://doi.org/10.13039/100005851
Funder: Einstein Visiting Fellow Program
The Rayleigh–Bénard system with stress-free boundary conditions is shown to have a global attractor in ea
Funder: Einstein Visiting Fellow Program
The Rayleigh–Bénard system with stress-free boundary conditions is shown to have a global attractor in ea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a193132ed980bf56074bf82e912a0bf3
https://doi.org/10.1088/1361-6544/abb1c6
https://doi.org/10.1088/1361-6544/abb1c6
Autor:
Michael S. Jolly, Ali Pakzad
The efficacy of a nudging data assimilation algorithm using higher order finite element interpolating operators is studied. Numerical experiments are presented for the 2D Navier-Stokes equations in two cases: shear flow in an annulus and a forced flo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af6defef46781dbfc13ed65b48337274
http://arxiv.org/abs/2108.03631
http://arxiv.org/abs/2108.03631
Publikováno v:
Chinese Annals of Mathematics, Series B. 40:721-764
An intrinsic property of almost any physical measuring device is that it makes observations which are slightly blurred in time. The authors consider a nudging-based approach for data assimilation that constructs an approximate solution based on a fee
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::459c616f0f69287532570236fcf7596a
https://doi.org/10.1007/s11401-019-0158-0
https://doi.org/10.1007/s11401-019-0158-0
Publikováno v:
Communications on Pure & Applied Analysis.
This paper studies a family of generalized surface quasi-geostrophic (SQG) equations for an active scalar $\theta$ on the whole plane whose velocities have been mildly regularized, for instance, logarithmically. The well-posedness of these regularize
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::529a08734903abe0cacd51760b102760
https://doi.org/10.3934/cpaa.2021169
https://doi.org/10.3934/cpaa.2021169
Autor:
Michael S. Jolly, D. Wirosoetisno
Publikováno v:
Journal of mathematical fluid mechanics, 2020, Vol.22(2), pp.18 [Peer Reviewed Journal]
Given a velocity field $u(x,t)$, we consider the evolution of a passive tracer $\theta$ governed by $\partial_t\theta + u\cdot\nabla\theta = \Delta\theta + g$ with time-independent source $g(x)$. When $\|u\|$ is small, Batchelor, Howells and Townsend
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7774730ea74f844cdee29b04d0892bbc
http://dro.dur.ac.uk/29840/1/29840.pdf
http://dro.dur.ac.uk/29840/1/29840.pdf
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
Publikováno v:
Physica D: Nonlinear Phenomena. :216-227
The vertically averaged velocity of the 3D Rayleigh–Benard problem is analyzed and numerically simulated. This vertically averaged velocity satisfies a 2D incompressible Navier–Stokes system with a body force involving the 3D velocity. A time ave
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a7be7a69a780e028fb565c2946af59d3
https://doi.org/10.1016/j.physd.2018.02.005
https://doi.org/10.1016/j.physd.2018.02.005
Publikováno v:
Journal of Scientific Computing. 77:1519-1533
We introduce a continuous (downscaling) data assimilation algorithm for the 2D Benard convection problem using vorticity or local circulation measurements only. In this algorithm, a nudging term is added to the vorticity equation to constrain the mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1883c7e42e210a8a71d352fe2d75866
https://doi.org/10.1007/s10915-018-0686-x
https://doi.org/10.1007/s10915-018-0686-x
Publikováno v:
Journal of Dynamics and Differential Equations. 31:1457-1494
We construct a determining form for the surface quasi-geostrophic (SQG) equation with subcritical dissipation. In particular, we show that the global attractor for this equation can be embedded in the long-time dynamics of an ordinary differential eq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d5166d3821ca3664fb5ea0952d975bc
https://doi.org/10.1007/s10884-018-9652-4
https://doi.org/10.1007/s10884-018-9652-4