Global existence of weak solution to Navier-Stokes equations with large external force and general pressure

作者：Suen Anthony^*

来源：Mathematical Methods in the Applied Sciences, 2014, 37(17): 2716-2727.

DOI：10.1002/mma.3012

• Navier-Stokes equations
• compressible flow
• global weak solutions

We study the 3-D compressible Navier-Stokes equations with an external potential force and a general pressure. We prove the global-in-time existence of weak solutions with small-energy initial data and with densities being positive and essentially bounded. No smallness assumption is made on the external force.

• 出版日期2014-11-30