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Existence of weak solutions of 2-D Euler equations with initial vorticityω0∈L(log+L)α(α>0)

✍ Scribed by Quansen Jiu

Publisher: Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 1996
Tongue: English
Weight: 450 KB
Volume: 12
Category: Article
ISSN: 0168-9673
DOI: 10.1007/bf02007731

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Weak Solutions of 2-D Euler Equations wi

Weak Solutions of 2-D Euler Equations with Initial Vorticity in L(Log L)

✍ D.H. Chae 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 415 KB

In this note we prove global in time existence of weak solutions of 2-D Euler equations for incompressible fluid flows in the whole plane of \(R^{2}\) when the initial vorticity is in the Zygmund class \(L(\log L)\). The solution is constructed by a vanishing viscosity limit of the sequence of solut