【摘 要】
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We consider the Cauchy problem for one-dimensional (1D) barotropic compressible Navier-Stokes equations with density-depending viscosity and large external forces.Under a general assumption on the density-depending viscosity,we prove that the Cauchy probl
【机 构】
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School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China;College of Mathematic
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We consider the Cauchy problem for one-dimensional (1D) barotropic compressible Navier-Stokes equations with density-depending viscosity and large external forces.Under a general assumption on the density-depending viscosity,we prove that the Cauchy problem admits a unique global strong (classical) solution for the large initial data with vacuum.Moreover,the density is proved to be bounded from above time-independently.As a consequence,we obtain the large time behavior of the solution without external forces.
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