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Global stability of solutions with discontinuous initial data containing vacuum states for the isentropic Euler equations

โœ Scribed by Yachun Li


Publisher
Springer
Year
2004
Tongue
English
Weight
232 KB
Volume
55
Category
Article
ISSN
0044-2275

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Strong convergence to global solutions f
โœ David Hoff ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Springer ๐ŸŒ English โš– 637 KB

We extend to general polytropic pressures P(p)= KpT,7 > 1, the existence theory of [8] for isothermal (7 = 1) flows of Navier-Stokes fluids in two and three space dimensions, with fairly general initial data. Specifically, we require that the initial density be close to a constant in L 2 and L ~~ an