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Publications

Measure Theory

  1. S. Bianchini, C. Mariconda, R. Cerf, TWO DIMENSIONAL ZONOIDS AND CHEBYSHEV MEASURES, J. Math. Anal. Appl. 211-2 (1997), pag. 512-526.

  2. S. Bianchini, C. Mariconda, R. Cerf, CHEBYSHEV MEASURES AND THE VECTOR MEASURES WHOSE RANGE IS STRICTLY CONVEX, Atti Sem. Mat. Fis. Univ. Modena 46 (1998), pag. 525-534.

  3. S. Bianchini, C. Mariconda, THE VECTOR MEASURES WHOSE RANGE IS STRICTLY CONVEX: SOME CHARACTERIZATIONS AND APPLICATIONS , J. Math. Anal. Appl. 232 (1999), pag. 1-19.

  4. S. Bianchini, EXTREMAL FACES OF THE RANGE OF A VECTOR MEASURE AND A THEOREM OF LYAPUNOV, J. Math. Anal. Appl. 231 (1999), pag. 301-318.

Conservation Laws

  1. S. Bianchini, THE SEMIGROUP GENERATED BY A TEMPLE CLASS SYSTEM WITH NON CONVEX FLUX FUNCTION, Diff. Integr. Equat. 13 (10-12), pag. 1529-1550.

  2. S. Bianchini, A. Bressan, BV SOLUTIONS FOR A CLASS OF VISCOUS HYPERBOLIC SYSTEMS, Indiana Univ. Math. J. 49 (2000), pag. 1673-1713.

  3. S. Bianchini, ON THE SHIFT DIFFERENTIABILITY OF THE FLOW GENERATED BY A HYPERBOLIC SYSTEM OF CONSERVATION LAWS, Discr. Cont. Dyn. Systems 6-2 (2000), pag. 329-350.

  4. S. Bianchini, A GLIMM TYPE FUNCTIONAL FOR A SPECIAL JIN-XIN RELAXATION MODEL, Ann. Inst. H. Poincare' Anal. Nonlinear 18-1 (2001), pag. 19-42.

  5. S. Bianchini, STABILITY OF $L^\INFTY$ SOLUTIONS FOR HYPERBOLIC SYSTEMS WITH COINCIDING SHOCKS AND RAREFACTIONS, SIAM J. Math. Anal. 33-4 (2001), pag. 959-981.

  6. S. Bianchini, A. Bressan, ON A LYAPUNOV FUNCTIONAL RELATING SHORTENING CURVES AND VISCOUS CONSERVATION LAWS, Nonlinear Analysis: Theory, Methods & Applications 51(4) (2002), pag. 649-662

  7. S. Bianchini, R.M. Colombo, ON THE STABILITY OF THE STANDARD RIEMANN SEMIGROUP, Proc. AMS 130 (2002), pag. 1961-1973.

  8. S. Bianchini, A NOTE ON SINGULAR LIMITS TO HYPERBOLIC SYSTEMS , Comm. Pure Appl. Anal. 2-1 (2003), pag. 51-64.

  9. S. Bianchini, A. Bressan, A CASE STUDY IN VANISHING VISCOSITY, Discr. Cont. Dyn. Systems 7-3 (2001), pag. 449-476.

  10. S. Bianchini, A. Bressan, A CENTER MANIFOLD TECHNIQUE FOR TRACING VISCOUS WAVES, Comm. Pure Appl. Anal. 1-2 (2002), pag. 161-190.

  11. S. Bianchini, A. Bressan, VANISHING VISCOSITY SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS, Annals of Mathematics 161 (2005), pag. 223-342.

  12. S. Bianchini, A NOTE ON THE RIEMANN PROBLEM FOR NONCONSERVATIVE HYPERBOLIC SYSTEMS , Archive for Rational Mechanics and Analysis 166 (2003), pag. 1-26.

  13. S. Bianchini, BV SOLUTIONS OF THE SEMIDISCRETE UPWIND SCHEME, Archive for Rational Mechanics and Analysis 167 (2003), pag. 1-81.

  14. S. Bianchini, INTERACTION ESTIMATES AND GLIMM FUNCTIONAL FOR GENERAL HYPERBOLIC SYSTEMS, Discrete and Continuous Dynamical Systems 9 (2003), pag. 133-166.

  15. S. Bianchini, RELAXATION LIMIT OF THE JIN-XIN RELAXATION MODEL, Comm. Pure Appl. Math. 59-5 (2006), pages 688-753.

  16. S. Bianchini, GLIMM INTERACTION FUNCTIONAL FOR BGK SCHEMES, in "Hyperbolic Problems: Theory, Numerics and Applications - I", F. Asakura, S. Kawashima, A Matsumura, S. Nishibata, K. Nishihara editors.

  17. S. Bianchini, ON BRESSAN CONJECTURE ON MIXING PROPERTIES OF VECTOR FIELDS, Banach Center Publications 74 (2006), 13-31.

  18. S. Bianchini, B. Hanouzet, R. Natalini, ASYMPTOTIC BEHAVIOR OF SMOOTH SOLUTIONS FOR PARTIALLY DISSIPATIVE HYPERBOLIC SYSTEMS WITH A CONVEX ENTROPY, Comm. Pure Appl. Math. 60 (2007), p. 1559-1622.

  19. S. Bianchini, L. V. Spinolo, THE BOUNDARY RIEMANN SOLVER COMING FROM THE REAL VANISHING VISCOSITY APPROXIMATION, Arch. Ration. Mech. Anal. 191-1 (2009), p. 1-96.

  20. S. Bianchini, R.M. Colombo, F. Monti, 2x2 SYSTEMS OF CONSERVATION LAWS WITH L^infty DATA JDE 249 (2010), p. 3466-3488.

  21. S. Bianchini, L. V. Spinolo, INVARIANT MANIFOLDS FOR A SINGULAR ORDINARY DIFFERENTIAL EQUATION J. Differential Equations. 250-4 (2011), p. 1788-1827.

  22. S. Bianchini, L. V. Spinolo, A CONNECTION BETWEEN VISCOUS PROFILES AND SINGULAR ODEs Rend. Istit. Mat. Univ. Trieste 41 (2009), p. 35-41.

  23. S. Bianchini, SBV REGULARITY FOR SCALAR CONSERVATION LAWS, In: 13th conference on Hyperbolic Problems: Theory, Numerics and Applications, Beijing (2010).

Calculus of Variations

  1. S. Bianchini, ON THE EULER LAGRANGE EQUATION FOR A VARIATIONAL PROBLEM, Discrete and Continuous Dynamical Systems 17 (2007), pag. 449-480.

  2. S. Bianchini, M. Gloyer, ON THE EULER-LAGRANGE EQUATION FOR A VARIATIONAL PROBLEM: THE GENERAL CASE II, Math. Zeit. 265-4 (2009), pag. 889-923.

Optimal Transportation

  1. S. Bianchini, L. Caravenna, ON THE EXTREMALITY, UNIQUENESS AND OPTIMALITY OF TRANSFERENCE PLANS, Bullettin of the Institute of Mathematics, Academia Sinica Taipei 4 (2009), p. 353-454.

  2. S. Bianchini, L. Caravenna, ON THE OPTIMALITY OF TRANSFERENCE PLANS, C. R. Acad. Sci. Paris, Ser. I 348 (2010), p. 613-618.

  3. S. Bianchini, A. Brancolini, ESTIMATES ON PATH FUNCTIONALS OVER WASSERSTEIN SPACES, SIAM Math. Anal. 42 (2010), p. 1179-1217

  4. S. Bianchini, F. Cavalletti, THE MONGE PROBLEM IN GEODESIC SPACES, in "IMA Summer programm: nonlinear conservation laws and applications" (2010).

Linear Transport

  1. S. Bianchini, M. Gloyer, AN ESTIMATE ON THE FLOW GENERATED BY MONOTONE OPERATORS. Comm. PDE 36-5 (2010), p. 777-796.

  2. S. Bianchini, D. Tonon, A DECOMPOSITION THEOREM FOR BV FUNCTIONS, CPAA 10, p. 1549-1566.

Hamilton-Jacobi Equations

  1. S. Bianchini, C. De Lellis, R. Robyr, SBV REGULARITY FOR HAMILTON-JACOBI EQUATIONS IN R^n, Arch. Ration. Mech. Anal. 200 (2011), p. 1003-1021.

  2. S. Bianchini, M. Gloyer, TRANSPORT RAYS AND APPLICATIONS TO HAMILTON-JACOBI EQUATIONS, Lecture Notes in Mathematics 2028 (2011), p. 1-16.