In physics and mathematics, in the area of vector calculus, Helmholtz's theorem, also known as the fundamental theorem of vector calculus, states that any ...
由 M Hieber 著作In our two dimensional situation, r=2 is the only critical exponent, which determines the validity of a unique Helmholtz–Weyl decomposition. 2021 被引用 2 次 —
由 N Sauer 著作The Helmholtz–Weyl decomposition in which a vector field is decomposed into the curl of a vector potential and the gradient of a scalar potential, ... 2007 —
由 M Hieber 著作In this article the Helmholtz-Weyl decomposition in three dimensional exterior domains is established within the L r -setting for 1 < r < ∞ ... 2021 被引用 1 次 —
由 M Hieber 著作Abstract: In this article the Helmholtz-Weyl decomposition in three dimensional exterior domains is established within the L^r-setting for ... 2019 被引用 1 次 —
PDF | We show that every Lr-vector field on Ω can be uniquely decomposed into two spaces with scalar and vector potentials, and the harmonic vector.
Let Ω be a two-dimensional exterior domain with smooth boundary ∂Ω and 1 < r< ∞. Then Lr(Ω) 2 allows a Helmholtz–Weyl decomposition, i.e., for every u∈ ...
The Three-Dimensional Navier–Stokes Equations - September 2016.