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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 4
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Articles

Existence of global weak solutions for a 3D Navier–Stokes–Poisson–Korteweg equations

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Pages 528-537 | Received 04 Jul 2016, Accepted 16 Dec 2016, Published online: 06 Jan 2017
 

Abstract

The purpose of this work is to study the global-in-time existence of weak solutions of a viscous capillary model of plasma expressed as a so-called Navier–Stokes–Poisson–Korteweg model for large data in three-dimensional space. Using the compactness argument, we prove the existence of global weak solutions in the classical sense to such system with a cold pressure.

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Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

J. Yang’s research was partially supported by the Joint Funds of the National Natural Science Foundation of China [grant number U1204103].

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