4 papers · 1 filter
Vanishing Viscosity Solutions of Nonlinear Hyperbolic Systems
Stefano Bianchini, Alberto Bressan
We consider the Cauchy problem for a strictly hyperbolic, system in one space dimension: , assuming that the initial data has small total variation. We s…
A note on sigular limits to hyperbolic systems
Stefano Bianchini
In this note we consider two different singular limits to hyperbolic system of conservation laws, namely the standard backward schemes for non linear semigroups and the semidiscret…
On the Stability of the Standard Riemann Semigroup
Stefano Bianchini, Rinaldo M. Colombo
We consider the dependence of the entropic solution of a hyperbolic system of conservation laws \[ \{\{array}{c} u_t + f(u)_x = 0 u(0,\cdot) = u_0 \{array} \] on the flux function…
Stability of solutions for hyperbolic systems with coinciding shocks and rarefactions
Stefano Bianchini
We consider a hyperbolic system of conservation laws u_t + f(u)_x = 0 and u(0,\cdot) = u_0, where each characteristic field is either linearly degenerate or genuinely nonlinear. Un…