Uniform boundedness of the radially symmetric solutions of the Navier-Stokes equations for isentropic compressible fluids
Fan, Jishan ; Jiang, Song ; Ni, Guoxi
Osaka J. Math., Tome 46 (2009) no. 1, p. 863-876 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We study the isentropic compressible Navier-Stokes equations with radially symmetric data and non-negative initial density in an annular domain. We prove the global existence of strong solutions for any $\gamma\geq 1$. Moreover, we obtain the uniform in time $L^{\infty}$-boundedness of the density and $H^{1}$-boundedness of the velocity, improving therefore the corresponding result in [2], where the condition $\gamma\geq 2$ is required to guarantee the existence.
Publié le : 2009-09-15
Classification:  76N15,  35Q30,  35Q35,  35M20 
@article{1256564210,
     author = {Fan, Jishan and Jiang, Song and Ni, Guoxi},
     title = {Uniform boundedness of the radially symmetric solutions of the Navier-Stokes equations for isentropic compressible fluids},
     journal = {Osaka J. Math.},
     volume = {46},
     number = {1},
     year = {2009},
     pages = { 863-876},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256564210}
}

Fan, Jishan; Jiang, Song; Ni, Guoxi. Uniform boundedness of the radially symmetric solutions of the Navier-Stokes equations for isentropic compressible fluids. Osaka J. Math., Tome 46 (2009) no. 1, pp.  863-876. http://gdmltest.u-ga.fr/item/1256564210/