A proof is proposed that small L1∩L2 initial data yields global classical solutions and optimal time-decay rates when the viscosity exponent α is within δ of 1.
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Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities
A proof is proposed that small L1∩L2 initial data yields global classical solutions and optimal time-decay rates when the viscosity exponent α is within δ of 1.