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초록· 키워드
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The Navier-Stokes system for heat-conducting incompressible
fluids is studied in a domain Ω ⊂ R³. The viscosity, heat conduction
coefficients and specific heat at constant volume are allowed to depend
smoothly on density and temperature. We prove local existence of the
unique strong solution, provided the initial data satisfy a natural compatibility
condition. For the strong regularity, we do not assume the
positivity of initial density; it may vanish in an open subset (vacuum) of
or decay at infinity when Ω is unbounded.
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참고문헌 (27)
참고문헌 신청
M. Padula / 1990 / On the existence and uniqueness of nonhomogeneous motions in exterior domains / Mathematische Zeitschrift 203(4):581~604
R. Salvi / 1991 / The equations of viscous incompressible nonhomogeneous fluids: on the existence and regularity / Journal of the Australian Mathematical Society Series B 33(1):94~110
J. Simon / 1978 / Ecoulement d’um fluide non homog`ene avec une densit´e initiale s’annulant / Comptes Rendus de l'Académie des Sciences 287(15):A1009~A1012
J. Simon / 1987 / Compact sets in the space Lp(0; T;B) / Annali di Matematica Pura ed Applicata 146(4):65~96
J. Simon / 1990 / Nonhomogeneous viscous incompressible fluids: existence of velocity, density, and pressure / SIAM Journal on Mathematical Analysis 21(5):1093~1117
R. Salvi / 1991 / The equations of viscous incompressible nonhomogeneous fluids: on the existence and regularity / Journal of the Australian Mathematical Society Series B 33(1):94~110
J. Simon / 1978 / Ecoulement d’um fluide non homog`ene avec une densit´e initiale s’annulant / Comptes Rendus de l'Académie des Sciences 287(15):A1009~A1012
J. Simon / 1987 / Compact sets in the space Lp(0; T;B) / Annali di Matematica Pura ed Applicata 146(4):65~96
J. Simon / 1990 / Nonhomogeneous viscous incompressible fluids: existence of velocity, density, and pressure / SIAM Journal on Mathematical Analysis 21(5):1093~1117
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