Li, Y;
Sun, Y;
Zatorska, E;
(2020)
Large time behavior for a compressible two-fluid model with algebraic pressure closure and large initial data.
Nonlinearity
, 33
(8)
pp. 4075-4094.
10.1088/1361-6544/ab801c.
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Abstract
In this paper, we consider a compressible two-fluid system with a common velocity field and algebraic pressure closure in dimension one. Existence, uniqueness and stability of global weak solutions to this system are obtained with arbitrarily large initial data. Making use of the uniform-in-time bounds for the densities from above and below, exponential decay of weak solution to the unique steady state is obtained without any smallness restriction to the size of the initial data. In particular, our results show that degeneration to single-fluid motion will not occur as long as in the initial distribution both components are present at every point.
| Type: | Article |
|---|---|
| Title: | Large time behavior for a compressible two-fluid model with algebraic pressure closure and large initial data |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1361-6544/ab801c |
| Publisher version: | https://doi.org/10.1088/1361-6544/ab801c |
| Language: | English |
| Additional information: | Content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. |
| Keywords: | Compressible two-fluid model, weak solutions, large time behavior |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10127136 |
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