Zatorska, E;
(2012)
Analysis of semidiscretization of the compressible Navier-Stokes equations.
Journal of Mathematical Analysis and Applications
, 386
(2)
pp. 559-580.
10.1016/j.jmaa.2011.08.024.
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Abstract
The objective of this work is to investigate the time discretization of two-dimensional Navier-Stokes system with the slip boundary conditions. First, the existence of weak solutions for fixed time step δt > 0 is presented and then the limit passage as δt→0+ is carried out. The proof is based on a new technique established for the steady Navier-Stokes equations by P.B. Mucha and M. Pokornỳ [P.B. Mucha, M. Pokornỳ, On a new approach to the issue of existence and regularity for the steady compressible Navier-Stokes equations, Nonlinearity 19 (8) (2006) 1747-1768] which enables to estimate the growth of L∞ norm of the density when δt goes to 0. © 2011 Elsevier Inc.
| Type: | Article |
|---|---|
| Title: | Analysis of semidiscretization of the compressible Navier-Stokes equations |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jmaa.2011.08.024 |
| Publisher version: | http://dx.doi.org/10.1016/j.jmaa.2011.08.024 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Navier–Stokes equations, Barotropic compressible viscous fluid, Weak solution, Time discretization |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10044866 |
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