Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 58, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2020.103222
Keywords
Navier-Stokes equations; Capillarity; Korteweg stress tensor
Categories
Funding
- NNSF of China [11671075, 11801133]
- fundamental research funds for the central universities
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This paper investigates the non-isothermal one-dimensional model of capillary compressible fluids derived by Slemrod (1984) and Dunn and Serrin (1985). The global existence, uniqueness, and exponential stability of strong solutions in H-+(i) (i = 1, 2, 4) for the one-dimensional Navier-Stokes equations with capillarity are established, implying the existence and exponential stability of the nonlinear C-0-semigroups S(t) on H-+(i) (i = 1, 2, 4).
In this paper, we investigate non-isothermal one-dimensional model of capillary compressible fluids as derived by Slemrod (1984) and Dunn and Serrin (1985). We establish the global existence, uniqueness and exponential stability of strong solutions in H-+(i) (i = 1, 2, 4) for the one-dimensional Navier-Stokes equations with capillarity, which implies the existence and exponential stability of the nonlinear C-0-semigroups S(t) on H-+(i) (i = 1, 2, 4). (C) 2020 Elsevier Ltd. All rights reserved.
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