Laura Valentina Spinolo's Homepage

Contact Information: Mailing address: IMATI-CNR Via Ferrata 1 27100 Pavia Italy

Office: C23 Phone number: +39 0382 548 216 Email: spinolo(at)imati.cnr.it

Publications and Preprints:

1. Vanishing viscosity solutions of a 2 x 2 triangular hyperbolic system with Dirichlet conditions on two boundaries,
   Indiana Univ. Math. J. 56 (2007), n. 1, pp. 279-364. Also arXiv:math/0508142v2.

2. The boundary Riemann solver coming from the real vanishing viscosity approximation (with Stefano Bianchini)
   Arch. Ration. Mech. Anal. 191 (2009), n. 1, pp 1-96.

3. Some new well-posedness results for continuity and transport equations, and applications to the chromatography system (with Luigi Ambrosio, Gianluca Crippa and Alessio Figalli)
   SIAM J. Math. Anal. 41 (2009), n. 5, pp. 1890-1920

4. Invariant manifolds for viscous profiles of a class of mixed hyperbolic-parabolic systems (with Stefano Bianchini)
   In "Hyperbolic problems: theory, numerics and applications", pp. 419- 428, Proc. Sympos. Appl. Math., 67, Part 2, Amer. Math. Soc., Providence, RI, 2009

5. A connection between viscous profiles and singular ODEs (with Stefano Bianchini)
   Rend. Istit. Mat. Univ. Trieste 41 (2009), pp. 35-41.

6. An overview on some results concerning the transport equation and its applications to conservation laws (with Gianluca Crippa)
   Commun. Pure Appl. Anal. 9 (2010), no. 5, pp. 1283-1293.

7. Notes on the study of the viscous approximation of hyperbolic problems via ODE analysis
   Riv. Mat. Univ. Parma. Volume 1 (2010), no 1, pp. 151-188.
   

8. Invariant manifolds for a singular ordinary differential equation (with Stefano Bianchini)
   J. Differential Equations. 250 (2011), n. 4, pp. 1788-1827.

9. A uniqueness criterion for viscous limits of boundary Riemann problems (with Cleopatra Christoforou)
   J. Hyperbolic Differ. Equ. 8 (2011), no 3, pp. 507-544.

10. Existence and uniqueness results for the continuity equation and applications to the chromatography system (with Luigi Ambrosio, Gianluca Crippa and Alessio Figalli)
    In "Nonlinear Conservation Laws and Applications", pp. 195-204, IMA Vol. Math. Appl., 153, Springer, New York, 2011.

11. Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems (with Cleopatra Christoforou)
    Quart. Appl. Math. To appear.

12. On the physical and the self-similar viscous approximation of a boundary Riemann problem (with Cleopatra Christoforou)
    Riv. Mat. Univ. Parma. To appear.

13. Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws (with Siddhartha Mishra)
    Submitted.