Concentrating solutions for a Liouville type equation with variable intensities in 2D-turbulence (Q2794853)
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scientific article; zbMATH DE number 6554534
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Concentrating solutions for a Liouville type equation with variable intensities in 2D-turbulence |
scientific article; zbMATH DE number 6554534 |
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Concentrating solutions for a Liouville type equation with variable intensities in 2D-turbulence (English)
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11 March 2016
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mean field equation
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blow-up solutions
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turbulent Euler flow
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0.86726093
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0.86070704
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0.8527268
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0.85190386
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0.85060984
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0.8497615
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0.84673923
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The authors construct sign-changing concentrating solutions for a mean field equation describing turbulent Euler flows with variable vortex intensities and arbitrary orientation NEWLINENEWLINE\[NEWLINE \begin{cases} NEWLINE-\Delta u =\rho^2(e^u-\tau e^{-\gamma u}) & \text{ in } \Omega, \\ NEWLINEu=0 & \text{ on } \partial \Omega. \end{cases} NEWLINE\]NEWLINE NEWLINEThey study the effect of variable intensities and orientation on the dubbling profile and on the location of the vortex points.
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