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Removable singularities of weak solutions to the navier-stokes equations
Titel:
Removable singularities of weak solutions to the navier-stokes equations
Auteur:
Kozono, Hideo
Verschenen in:
Communications in partial differential equations
Paginering:
Jaargang 23 (1998) nr. 5-6 pagina's 949-966
Jaar:
1998
Inhoud:
Consider the Navier-Stokes equations in Ω×(0,T), where Ω is a domain in R3. We show that there is an absolute constant ε0 such that ever, y weak solution u with the property that Suptε(a,b)|u(t)|L(D)≤ε0 is necessarily of class C∞ in the space-time variables on any compact suhset of D × (a,b) , where D⊂⊂ and 0 a<b<T. As an application. we prove that if the weak solution u behaves around (xo, to) εΩ×(o,T) 1ike u(x, t) = o(|x - xo|-1) as x→x0 uniforlnly in t in some neighbourliood of to, then (xo,to) is actually a removable singularity of u.
Uitgever:
Taylor & Francis
Bronbestand:
Elektronische Wetenschappelijke Tijdschriften
Details van artikel 109 van 135 gevonden artikelen
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