4 citations · 5 across the 6 of their papers we have counts for
6 papers · 1 filter
SBV-like regularity of Entropy Solutions for a Scalar Balance Law
Fabio Ancona, Laura Caravenna, Andrea Marson
In this note we discuss the SBV-regularity for a scalar balance law in one space dimension as a case study in order to explain the strategy that we apply in a separate paper to gen…
SBV regularity of Entropy Solutions for Hyperbolic Systems of Balance Laws with General Flux function
Fabio Ancona, Laura Caravenna, Andrea Marson
We prove that vanishing viscosity solutions to smooth non-degenerate systems of balance laws having small bounded variation, in one space dimension, must be functions of special bo…
An informal account of recent results on initial-boundary value problems for systems of conservation laws
Laura V. Spinolo, Fabio Ancona, Andrea Marson
This note aims at providing a rather informal and hopefully accessible overview of the fairly long and technical work [4]. In that paper, the authors established new global-in-time…
Existence of vanishing physical viscosity solutions of characteristic initial-boundary value problems for systems of conservation laws
Fabio Ancona, Andrea Marson, Laura V. Spinolo
We consider initial boundary-value problems for nonlinear systems of conservation laws in one space variable. It is known that in general different viscous mechanisms yield differe…
On the structure of solutions for general hyperbolic systems of balance laws
Fabio Ancona, Laura Caravenna, Andrea Marson
The paper describes the qualitative structure of BV entropy solutions of a strictly hyperbolic system of balance laws with characteristic fields either piecewise genuinely nonlinea…
A locally quadratic Glimm functional and sharp convergence rate of the Glimm scheme for nonlinear hyperbolic systems
F. Ancona, A. Marson
Consider the Cauchy problem for a strictly hyperbolic, quasilinear system in one space dimension $$ u_t+A(u) u_x=0,\qquad u(0,x)=\bar u(x), \eqno (1) $$ where $u \mapst…