Existence of second order smooth solutions for 2D Euler equations with symmetry outside a core region

DOI10.1186/s13661-015-0459-5zbMath1342.35237OpenAlexW2180549454WikidataQ59436531 ScholiaQ59436531MaRDI QIDQ284028

Liquan Mei, Yanyun Wu, Gan-shan Yang

Publication date: 17 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0459-5

zbMATH Keywords

characteristic methodYoung inequalityGronwall inequality\(C^{2}\) normsecond order smooth solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Cites Work

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• Regularization of point vortices pairs for the Euler equation in dimension two
• On finite time singularity and global regularity of an axisymmetric model for the 3D Euler equations
• Formation of singularities in one-dimensional nonlinear wave propagation
• Global resolvability for a viscoelastic model with relaxation
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• Some existence theorems for hyperbolic systems of partial differential equations in two independent variables
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