scholarly journals Uniform regularity and vanishing viscosity limit for the chemotaxis-Navier-Stokes system in a 3D bounded domain

2017 ◽  
Vol 40 (18) ◽  
pp. 7564-7597
Author(s):  
Zhipeng Zhang
Keyword(s):  
Bounded Domain ◽  
Stokes System ◽  
Navier Stokes ◽  
Vanishing Viscosity ◽  
Vanishing Viscosity Limit ◽  
Viscosity Limit

scholarly journals Vanishing viscosity limit for the compressible Navier–Stokes system via measure-valued solutions

2020 ◽  
Vol 27 (6) ◽  
Author(s):  
Danica Basarić
Keyword(s):  
Strong Convergence ◽  
Strong Solution ◽  
Stokes System ◽  
Spatial Domain ◽  
Euler System ◽  
Navier Stokes ◽  
Strong Uniqueness ◽  
Vanishing Viscosity ◽  
Vanishing Viscosity Limit ◽  
Viscosity Limit

AbstractWe identify a class of measure-valued solutions of the barotropic Euler system on a general (unbounded) spatial domain as a vanishing viscosity limit for the compressible Navier–Stokes system. Then we establish the weak (measure-valued)–strong uniqueness principle, and, as a corollary, we obtain strong convergence to the Euler system on the lifespan of the strong solution.

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