Blow-up of Compressible NavierStokesKorteweg Equations
Based on the results of Xin (Commun. Pure Appl. Math. 51(3):229240, 1998), Zhang and Tan (Acta Math. Sin. Engl. Ser. 28(3):645652, 2012), we show the blow-up phenomena of smooth solutions to the non-isothermal compressible NavierStokesKorteweg equations in arbitrary dimensions, under the assumption that the initial density has compact support. Here the coefficients are generalized to a more general case which depends on density and temperature. Our work extends the previous corresponding results.
blow-up compressible navierstokeskorteweg equations 35q35