Smooth solutions for the dyadic model
نویسندگان
چکیده
We consider the dyadic model, which is a toy model to test issues of wellposedness and blow-up for the Navier–Stokes and Euler equations. We prove well-posedness of positive solutions of the viscous problem in the relevant scaling range which corresponds to Navier–Stokes. Likewise we prove wellposedness for the inviscid problem (in a suitable regularity class) when the parameter corresponds to the strongest transport effect of the nonlinearity. Mathematics Subject Classification: 76D03, 76B03, 35Q35, 35Q30, 76D05, 35Q31
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