Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data

2002 ◽  
Vol 51 (2) ◽  
pp. 0-0 ◽  
Author(s):  
Song Jiang ◽  
Ping Zhang
Keyword(s):  
Initial Data ◽  
Weak Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Spherically Symmetric ◽  
Navier Stokes Equations ◽  
Symmetric Initial Data

scholarly journals Weak Solutions for Navier–Stokes Equations with Initial Data in Weighted $$L^2$$L2 Spaces

2020 ◽  
Vol 237 (1) ◽  
pp. 347-382 ◽  
Author(s):  
Pedro Gabriel Fernández-Dalgo ◽  
Pierre Gilles Lemarié-Rieusset
Keyword(s):  
Initial Data ◽  
Weak Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations

Remark on uniqueness of weak solutions to the Navier–Stokes equations

Analysis ◽  
2008 ◽  
Vol 28 (1) ◽  
Author(s):  
Sadek Gala ◽  
Samia Benbernou
Keyword(s):  
Initial Data ◽  
Weak Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations

Consider the Navier–Stokes equations with the initial data a ∈

scholarly journals Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Discontinuous Initial Data

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Ruxu Lian ◽  
Jianwei Yang ◽  
Jian Liu
Keyword(s):  
Initial Data ◽  
Regular Solution ◽  
Stokes Equations ◽  
Jump Discontinuity ◽  
Navier Stokes ◽  
Spherically Symmetric ◽  
Navier Stokes Equations ◽  
Density Dependent ◽  
Discontinuous Initial Data ◽  
Dependent Viscosity

We consider the initial boundary value problem for the spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity coefficients and discontinuous initial data in this paper. For piecewise regular initial density with bounded jump discontinuity, we show that there exists a unique global piecewise regular solution. In particular, the jump of density decays exponentially in time and the piecewise regular solution tends to the equilibrium state exponentially ast→+∞.

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