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Global smooth solutions and large time behavior of the one-dimensional Navier-Stokes equations - MaRDI portal

Global smooth solutions and large time behavior of the one-dimensional Navier-Stokes equations (Q1304636)

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scientific article; zbMATH DE number 1340132
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Global smooth solutions and large time behavior of the one-dimensional Navier-Stokes equations
scientific article; zbMATH DE number 1340132

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    Global smooth solutions and large time behavior of the one-dimensional Navier-Stokes equations (English)
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    23 July 2000
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    The system of balance laws of mass, momentum and energy for a viscous, heat-conductive, one-dimensional real gas (Navier-Stokes equations) is considered. The existence of a globally defined smooth solution to an initial-boundary value problem is established. Because of the effect of the boundary conditions, vacuum is approached if time tends to infinity.
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    global existence
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    a priori estimate
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    large time behavior
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    local existence
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    Navier-Stokes equations
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