1 citations · 2 across the 7 of their papers we have counts for
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Remarks on some quasi-linear fourth order parabolic equations arising in mathematical physics
Francesco Fanelli, Rafael Granero-Belinchón, Martina Magliocca +1
This note proves existence and uniqueness of strong solutions to a broad class of fourth-order quasi-linear parabolic equations in the class of Wiener spaces. It improves upon prev…
Effective velocity and -based well-posedness for incompressible fluids with odd viscosity
Francesco Fanelli, Alexis F. Vasseur
The present paper is concerned with the well-posedness theory for non-homogeneous incompressible fluids exhibiting odd (non-dissipative) viscosity effects. Differently from previou…
Well-posedness results for hyperbolic operators with coefficients rapidly oscillating in time
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli
In the present paper, we consider second order strictly hyperbolic linear operators of the form , for $(t,x)\in[0,T]\tim…
On the Cauchy problem for microlocally symmetrizable hyperbolic systems with log-Lipschitz coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
The present paper concerns the well-posedness of the Cauchy problem for microlocally symmetrizable hyperbolic systems whose coefficients and symmetrizer are log-Lipschitz continuou…
The well-posedness issue in Sobolev spaces for hyperbolic systems with Zygmund-type coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
In this paper we study the well-posedness of the Cauchy problem for first order hyperbolic systems with constant multiplicities and with low regularity coefficients depending just…
Analysis of an inviscid zero-Mach number system in endpoint Besov spaces with finite-energy initial data
Francesco Fanelli, Xian Liao
The present paper is the continuation of work [14], devoted to the study of an inviscid zero-Mach number system in the framework of \emph{endpoint} Besov spaces of type $B^s_{\inft…