@article {ipa|Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system|2017,
	title = {Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system},
	year = {2017},
	month = {January},
	pages = {19 p.},
	institution = {CNR-IMATI},
	type = {Working paper},
	address = {Pavia},
	abstract = {<p>We establish existence and uniqueness results for initial boundary value problems with nearly incompressible vector fields. We then apply our results to establish well-posedness of the initial-boundary value problem for the Keyfitz and Kranzer system of conservation laws in several space dimensions.</p>
},
	keywords = {Systems of conservation laws},
	url = {http://irs.imati.cnr.it/reports/irs17-02},
	author = {A.P. Choudhury and G. Crippa and L.V. Spinolo}
}
@article {irs17-04,
	title = {Optimality of integrability estimates for advection-diffusion equations},
	number = {17-04},
	year = {2017},
	month = {February},
	pages = {19},
	publisher = {CNR-IMATI},
	type = {Working paper},
	address = {Pavia},
	abstract = {<p>We discuss integrability estimates for the solution of an advection-diffusion equation. We first summarize some classical results proving such estimates for certain ranges of the space and time summability of the velocity field. Afterwards we prove the optimality of such ranges by means of new original examples.</p>
},
	keywords = {Advection-diffusion equation, Duhamel formula, integrability estimates and their optimality, parabolic equations, self-similar solutions},
	url = {http://irs.imati.cnr.it/reports/irs17-04},
	author = {S. Bianchini and M. Colombo and G. Crippa and L.V. Spinolo}
}
