Global existence of strong solutions to the 3D isentropic compressible Navier–Stokes equations with density‐dependent viscosities
Haibo Yu
Abstract
We consider the Cauchy problem to the three‐dimensional isentropic compressible Navier–Stokes system with density‐dependent viscosities. Under the condition that the lower bound of initial density is sufficiently large, we prove that strong solutions exist globally in time. The initial data can be arbitrarily large.
Topics & Concepts
Isentropic processMathematicsCompressibilityInitial value problemMathematical analysisCauchy problemViscosityMechanicsPhysicsThermodynamicsNavier-Stokes equation solutionsAdvanced Mathematical Physics ProblemsComputational Fluid Dynamics and Aerodynamics