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pro vyhledávání: '"John G Heywood"'
Autor:
John G. Heywood
Publikováno v:
Recent Developments of Mathematical Fluid Mechanics ISBN: 9783034809382
I pursue an argument of Wenzheng Xie, as furthered in several of my papers, to prove a particular point-wise bound for solutions of the three-dimensional steady Stokes problem. If proven, it will provide the basis for an existence and regularity theo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7177b6ce31108526766b13001ad0c38
https://doi.org/10.1007/978-3-0348-0939-9_14
https://doi.org/10.1007/978-3-0348-0939-9_14
Autor:
John G. Heywood
Publikováno v:
Journal of Mathematical Fluid Mechanics. 5:403-423
We consider a certain infinite system of ordinary differential equations, regarded as a highly simplified model of how energy might be passed up the spectrum in the Navier-Stokes equations, into the smaller scales of motion. Numerical experiments wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0153529246b8ad7038655b58278844f9
https://doi.org/10.1007/s00021-003-0092-4
https://doi.org/10.1007/s00021-003-0092-4
Publikováno v:
Journal of Mathematical Fluid Mechanics
Journal of Mathematical Fluid Mechanics, Springer Verlag, 2003, 5 (3), pp.201--230
Journal of Mathematical Fluid Mechanics, Springer Verlag, 2003, 5 (3), pp.201--230
This paper continues our development of approximation schemes for steady compressible viscous flow based on an iteration between a Stokes like problem for the velocity and a transport equation for the density, with the aim of improving their suitabil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3952dab78e840b03628cdf3fd4d1076a
https://doi.org/10.1007/s00021-003-0076-4
https://doi.org/10.1007/s00021-003-0076-4
Autor:
John G. Heywood
Publikováno v:
ANNALI DELL UNIVERSITA DI FERRARA. 46:267-284
This paper concerns the possibility of proving an inequality of the form sup\(\left| u \right|^2 \leqslant c\left\| {\nabla u} \right\|\left\| {\tilde \Delta u} \right\|\), for solutions of the Stokes equations, in an arbitrary three-dimensional doma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00260e5a93bf803af241f82dd1b43c53
https://doi.org/10.1007/bf02837302
https://doi.org/10.1007/bf02837302
Publikováno v:
Journal of Mathematical Fluid Mechanics. 1:5-23
We have recently experimented with a new spectral code for the spatially-periodic nonstationary Navier-Stokes equations, finding a plethora of apparently steady, periodic and chaotic solutions which seem interesting from the point of view of dynamica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09736d2a181a2da36ec7c06dd568190c
https://doi.org/10.1007/s000210050002
https://doi.org/10.1007/s000210050002
This volume consists of five research articles, each dedicated to a significant topic in the mathematical theory of the Navier-Stokes equations, for compressible and incompressible fluids, and to related questions. All results given here are new and
This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent resea
Publikováno v:
Archive for Rational Mechanics and Analysis. 138:307-318
A new approach to the existence theory for the Navier-Stokes equations, using a technique of Kato [15], further developed in combination with estimates for Oseen's equation by Kobayashi & Shibata [17] and Shibata [24], has made possible the solution
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fdf9ca0ae12489f4dea4defb191cfed9
https://doi.org/10.1007/s002050050043
https://doi.org/10.1007/s002050050043
Publikováno v:
International Journal for Numerical Methods in Fluids. 22:325-352
Fluid dynamical problems are often conceptualized in unbounded domains. However, most methods of numerical simulation then require a truncation of the conceptual domain to a bounded one, thereby introducing artificial boundaries. Here we analyse out
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1abe5c3bd2c51ee584e4463653f430b2
https://doi.org/10.1002/(sici)1097-0363(19960315)22:5<325::aid-fld307>3.0.co
https://doi.org/10.1002/(sici)1097-0363(19960315)22:5<325::aid-fld307>3.0.co
Autor:
John G. Heywood, Rolf Rannacher
Publikováno v:
SIAM Journal on Numerical Analysis. 27:353-384
This paper provides an error analysis for the Crank–Nicolson method of time discretization applied to spatially discrete Galerkin approximations of the nonstationary Navier–Stokes equations. Second-order error estimates are proven locally in time
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::875c000240697048006d373de178f592
https://doi.org/10.1137/0727022
https://doi.org/10.1137/0727022