@article {2018,
	title = {Characteristic boundary layers for mixed hyperbolic systems in one space dimension and applications to the Navier-Stokes and MHD equations},
	number = {SISSA;45/2018/MATE},
	year = {2018},
	institution = {SISSA},
	abstract = {We provide a detailed analysis of the boundary layers for mixed hyperbolic-parabolic systems in one space dimension and small amplitude regimes. As an application of our results, we describe the solution of the so-called boundary Riemann problem recovered as the zero viscosity limit of the physical viscous approximation. In particular, we tackle the so called doubly characteristic case, which is considerably more demanding from the technical viewpoint and occurs when the boundary is characteristic for both the
mixed hyperbolic-parabolic system and for the hyperbolic system obtained by neglecting the second order terms. Our analysis applies in particular to the compressible Navier-Stokes and MHD equations in Eulerian coordinates, with both positive and null conductivity. In these cases, the doubly characteristic case occurs when the velocity is close to 0. The analysis extends to non-conservative systems.},
	url = {http://preprints.sissa.it/handle/1963/35325},
	author = {Stefano Bianchini and Laura Spinolo}
}
@article {1937-1632_2016_1_73,
	title = {On the concentration of entropy for scalar conservation laws},
	journal = {Discrete \& Continuous Dynamical Systems - S},
	volume = {9},
	number = {1937-1632_2016_1_7},
	year = {2016},
	pages = {73},
	abstract = {<p>We prove that the entropy for an $L^$\infty$$-solution to a scalar conservation laws with continuous initial data is concentrated on a countably $1$-rectifiable set. To prove this result we introduce the notion of Lagrangian representation of the solution and give regularity estimates on the solution.</p>},
	keywords = {concentration, Conservation laws, entropy solutions, Lagrangian representation, shocks},
	issn = {1937-1632},
	doi = {10.3934/dcdss.2016.9.73},
	url = {http://aimsciences.org//article/id/ce4eb91e-9553-4e8d-8c4c-868f07a315ae},
	author = {Stefano Bianchini and Elio Marconi}
}
@article {modena2015convergence,
	title = {Convergence rate of the Glimm scheme},
	journal = {Bulletin of the Institute of Mathematics of Academia Sinica (New Series)},
	year = {2015},
	author = {Stefano Modena and Stefano Bianchini}
}
@article {2009,
	title = {A connection between viscous profiles and singular ODEs},
	journal = {Rend. Istit. Mat. Univ. Trieste 41 (2009) 35-41},
	number = {SISSA;05/2008/M},
	year = {2009},
	url = {http://hdl.handle.net/1963/2555},
	author = {Stefano Bianchini and Laura Spinolo}
}
@article {2002,
	title = {A center manifold technique for tracing viscous waves},
	journal = {Commun. Pure Appl. Anal. 1 (2002) 161-190},
	number = {SISSA;85/2001/M},
	year = {2002},
	publisher = {American Institute of Mathematical Sciences},
	abstract = {In this paper we introduce a new technique for tracing viscous travelling profiles. To illustrate the method, we consider a special 2 x 2 hyperbolic system of conservation laws with viscosity, and show that any solution can be locally decomposed as the sum of 2 viscous travelling profiles. This yields the global existence, stability and uniform BV bounds for every solution with suitably small BV data.},
	url = {http://hdl.handle.net/1963/3075},
	author = {Stefano Bianchini and Alberto Bressan}
}
@article {2001,
	title = {A case study in vanishing viscosity},
	journal = {Discrete Cont. Dyn. Syst. 7 (2001) 449-476},
	year = {2001},
	publisher = {American Institute of Mathematical Sciences},
	url = {http://hdl.handle.net/1963/3091},
	author = {Stefano Bianchini and Alberto Bressan}
}
