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Analysis of nonlocal model of compressible fluid in 1-D

Zatorska, E; (2011) Analysis of nonlocal model of compressible fluid in 1-D. Mathematical Methods in the Applied Sciences , 34 (2) pp. 198-212. 10.1002/mma.1348. Green open access

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Abstract

We study a nonlocal modification of the compressible Navier–Stokes equations in mono-dimensional case with a boundary condition characteristic for the free boundaries problem. From the formal point of view, our system is an intermediate between the Euler and Navier–Stokes equations. Under certain assumptions, imposed on initial data and viscosity coefficient, we obtain the local and global existence of solutions. Particularly, we show the uniform in time bound on the density of fluid.

Type: Article
Title: Analysis of nonlocal model of compressible fluid in 1-D
Open access status: An open access version is available from UCL Discovery
DOI: 10.1002/mma.1348
Publisher version: http://dx.doi.org/10.1002/mma.1348
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, global existence, nonlocal models
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/10044895
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