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Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum

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Abstract We consider the blow-up criteria for the Cauchy problems of three-dimensional compressible radiation fluids with vacuum. It is shown to own the same BKM-type criterion as the compressible Navier–Stokes… Click to show full abstract

Abstract We consider the blow-up criteria for the Cauchy problems of three-dimensional compressible radiation fluids with vacuum. It is shown to own the same BKM-type criterion as the compressible Navier–Stokes equations [14] , while the L p ˜ ( p ˜ ∈ [ 2 , 3 ] ) norm of the density gradient should be involved for the Serrin-type criterion.

Keywords: three dimensional; compressible radiation; hydrodynamics; blow criteria; dimensional compressible

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018

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