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- W2890985037 abstract "We consider the compressible Navier-Stokes system where the viscosity depends on density and the heat conductivity is proportional to a positive power of the temperature under stress-free and thermally insulated boundary conditions. Under the same conditions on the initial data as those of the constant viscosity and heat conductivity case ([Kazhikhov-Shelukhin. J. Appl. Math. Mech. 41 (1977)], we obtain the existence and uniqueness of global strong solutions. Our result can be regarded as a natural generalization of the Kazhikhov's theory for the constant heat conductivity case to the degenerate and nonlinear one under stress-free and thermally insulated boundary conditions." @default.
- W2890985037 created "2018-09-27" @default.
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- W2890985037 date "2018-09-05" @default.
- W2890985037 modified "2023-10-16" @default.
- W2890985037 title "Global Strong Solutions to Compressible Navier-Stokes System with Degenerate Heat Conductivity and Density-Depending Viscosity" @default.
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- W2890985037 doi "https://doi.org/10.48550/arxiv.1809.02498" @default.
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