6 citations · 20 across the 19 of their papers we have counts for
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Unique Solutions to Hyperbolic Conservation Laws with a Strictly Convex Entropy
Alberto Bressan, Graziano Guerra
Consider a strictly hyperbolic system of conservation laws, where each characteristic field is either genuinely nonlinear or linearly degenerate. In this standard setti…
Well Posedness and Characterization of Solutions to Non Conservative Products in Non Homogeneous Fluid Dynamics Equations
Rinaldo M. Colombo, Graziano Guerra, Yannick Holle
Consider a balance law where the flux depends explicitly on the space variable. At jump discontinuities, modeling considerations may impose the defect in the conservation of some q…
Non Conservative Products in Fluid Dynamics
R. M. Colombo, G. Guerra, Y. Holle
Fluid flow in pipes with discontinuous cross section or with kinks is described through balance laws with a non conservative product in the source. At jump discontinuities in the p…
The Cauchy Problem for a non Strictly Hyperbolic System of Conservation Laws Arising in Polymer Flooding
Graziano Guerra, Wen Shen
We study the Cauchy problem of a system of conservation laws modeling two--phase flow of polymer flooding in rough porous media with possibly discontinuous permeability…
Vanishing Viscosity Solutions for Conservation Laws with Regulated Flux
Alberto Bressan, Graziano Guerra, Wen Shen
In this paper we introduce a concept of "regulated function" of two variables, which reduces to the classical definition when is independent of . We then consider a…
Backward Euler Approximations for Conservation Laws with Discontinuous Flux
Graziano Guerra, Wen Shen
Solutions to a class of conservation laws with discontinuous flux are constructed relying on the Crandall-Liggett theory of nonlinear contractive semigroups~\cite{CL}. In particula…