Blow-up analysis for an elliptic equation describing stationary vortex flows with variable intensities in 2D-turbulence
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Publication:994300
DOI10.1016/j.jde.2010.06.006zbMath1201.35163OpenAlexW2078923661MaRDI QIDQ994300
Hiroshi Ohtsuka, Tonia Ricciardi, Takashi Suzuki
Publication date: 17 September 2010
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2010.06.006
PDEs in connection with fluid mechanics (35Q35) Turbulence (76F99) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44)
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Cites Work
- Unnamed Item
- Unnamed Item
- Free energy and self-interacting particles
- Non-simple blow-up solutions for the Neumann two-dimensional sinh-Gordon equation
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
- Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence
- Sharp borderline Sobolev inequalities on compact Riemannian manifolds
- Construction of singular limits for a semilinear elliptic equation in dimension 2
- Palais-Smale sequence relative to the Trudinger-Moser inequality
- On the statistical mechanics of 2D Euler equation
- Statistical mechanics of vortices in an inviscid two-dimensional fluid
- Semi-linear second-order elliptic equations in \(L^1\)
- Statistical mechanics of the \(N\)-point vortex system with random intensities on a bounded domain
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- Moser-Trudinger and logarithmic HLS inequalities for systems
- Mean field equation for the equilibrium turbulence and a related functional inequality
- The blow up analysis of solutions of the elliptic sinh-Gordon equation
- The logarithmic HLS inequality for systems on compact manifolds
- BLOW-UP ANALYSIS FOR LIOUVILLE TYPE EQUATION IN SELF-DUAL GAUGE FIELD THEORIES
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- Statistical mechanics of two-dimensional vortices in a bounded container
- Statistical mechanics of classical particles with logarithmic interactions
- Topological degree for a mean field equation on Riemann surfaces
- Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality
- Chemotactic collapse in a parabolic-elliptic system of mathematical biology
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