Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in $ L^2_{ loc}(\Bbb R^{3})$

Dongho Chae; Joerg Wolf

arxiv: 1610.01386 · v1 · pith:EOZZFPKVnew · submitted 2016-10-05 · 🧮 math.AP

Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in L²_(loc)(Bbb R³)

Dongho Chae , Joerg Wolf This is my paper

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keywords discretelyself-similarequationsexistenceinitialnavier-stokessolutionsbelonging

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We prove the existence of a forward discretely self-similar solutions to the Navier-Stokes equations in $ \Bbb R^{3}\times (0,+\infty)$ for a discretely self-similar initial velocity belonging to $ L^2_{ loc}(\Bbb R^{3})$.

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Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in L²_(loc)(Bbb R³)

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