14 citations · 25 across the 6 of their papers we have counts for
7 papers
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…
A well-posedness result for hyperbolic operators with Zygmund coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic operator with Zygmund continuous second order coefficients both in time and in space…
Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coefficients in any space dimension . We will suppose the coefficients…
Paralinearization of the Dirichlet to Neumann operator, and regularity of three-dimensional water waves
Thomas Alazard, Guy Métivier
This paper is concerned with a priori regularity for three-dimensional doubly periodic travelling gravity waves whose fundamental domain is a symmetric diamond. The exis…
Nonclassical multidimensional viscous and inviscid shocks
Olivier Gues, Guy Métivier, Mark Williams +1
Extending our earlier work on Lax-type shocks of systems of conservation laws, we establish existence and stability of curved multidimensional shock fronts in the vanishing viscosi…
Viscous Boundary Value Problems for Symmetric Systems with Variable Multiplicities
Olivier Gues, Guy Métivier, Mark Williams +1
Extending investigations of Métivier&Zumbrun in the hyperbolic case, we treat stability of viscous shock and boundary layers for viscous perturbations of multidimensional hyperboli…
Hyperbolic Boundary Value Problems for Symmetric Systems with Variable Multiplicities
Guy Métivier, Kevin Zumbrun
We extend the Kreiss--Majda theory of stability of hyperbolic initial--boundary-value and shock problems to a class of systems, notably including the equations of magnetohydrodynam…