Global Unique Solvability of Inhomogeneous Navier-Stokes Equations with Bounded Density
نویسندگان
چکیده
منابع مشابه
Global Unique Solvability of Inhomogeneous Navier-stokes Equations with Bounded Density
In this paper, we prove the global existence and uniqueness of solution to d-dimensional (for d = 2, 3) incompressible inhomogeneous Navier-Stokes equations with initial density being bounded from above and below by some positive constants, and with initial velocity u0 ∈ H (R) for s > 0 in 2-D, or u0 ∈ H (R) satisfying ‖u0‖L2‖∇u0‖L2 being sufficiently small in 3-D. This in particular improves t...
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2013
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605302.2013.780079