数学季刊 ›› 2016, Vol. 31 ›› Issue (1): 27-38.doi: 10.13371/j.cnki.chin.q.j.m.2016.01.004
摘要: In this paper, we investigate non-isothermal one-dimensional model of capillary compressible fluids as derived by M Slemrod(1984) and J E Dunn and J Serrin(1985). We establish the existence, uniqueness and exponential stability of global solutions in H2×H1× H1 for the one-dimensional Navier-Stokes-Korteweg equations by a priori estimates,which implies the existence and exponential stability of the nonlinear C0-semigroups S(t) on H2× H1× H1.
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