A variational approach to the Navier–Stokes equations
نویسندگان
چکیده
منابع مشابه
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(i) ∂v ∂t + divx (v ⊗ v) +∇xp = ν∆xv + f ∀(x, t) ∈ Ω× (0, T ) , (ii) divx v = 0 ∀(x, t) ∈ Ω× (0, T ) , (iii) v = 0 ∀(x, t) ∈ ∂Ω × (0, T ) , (iv) v(x, 0) = v0(x) ∀x ∈ Ω . Here v = v(x, t) : Ω× (0, T ) → R is an unknown velocity, p = p(x, t) : Ω× (0, T ) → R is an unknown pressure, associated with v, ν > 0 is a given constant viscosity, f : Ω× (0, T ) → R is a given force field and v0 : Ω → R N...
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ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2012
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2012.01.001