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Non-radial self-similar solutions for the critical dissipative quasi-geostrophic equation. (Solutions auto-similaires non radiales pour l’équation quasi-géostrophique dissipative critique.) (French) Zbl 1155.76320
Summary: We prove the existence of self-similar solutions for the critical dissipative quasi-geostrophic equation by using the formalism of mild solutions in a space close to $$L^\infty$$.

##### MSC:
 76D05 Navier-Stokes equations for incompressible viscous fluids 26A33 Fractional derivatives and integrals 35Q35 PDEs in connection with fluid mechanics 35R10 Partial functional-differential equations 76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids 76U05 General theory of rotating fluids
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