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Unpublished Material


Slides

Some slides used in conferences, useful for easy/fast reading.
  1. A GLIMM FUNCTIONAL FOR RELAXATION MODELS

  2. VANISHING VISCOSITY WITH BOUNDARY

  3. RELAXATION LIMIT OF THE JIN-XIN MODEL

  4. AN INTRODUCTION TO GLIMM FUNCTIONAL

  5. ON THE EXTREMALITY, UNIQUENESS AND OPTIMALITY OF TRANSFERENCE PLANS

  6. SBV REGULARITY OF SOLUTIONS TO STRICTLY HYPERBOLIC SYSTEMS OF CONSERVATION LAWS

  7. REGULARITY OF SOLUTIONS TO HAMILTON-JACOBI AND HYPERBOLIC CONSERVATION LAWS

  8. AN INTRODUCTION TO HJ EQUATIONS, part 1, part 2

  9. THE MONGE PROBLEM IN METRIC SPACES

  10. ON CONTINUOUS SOLUTIONS TO SCALAR BALANCE LAWS

  11. QUADRATIC INTERACTION FUNCTIONAL AND REGULARITY RESULTS FOR CONSERVATION LAWS

Unpublished papers

  1. S. Bianchini, F. Ancona, VANISHING VISCOSITY SOLUTIONS FOR GENERAL HYPERBOLIC SYSTEMS WITH BOUNDARY, preprint IAC-CNR 28, December 2003.

  2. S. Bianchini, L.V. Spinolo, PERTURBATION TECHNIQUES APPLIED TO THE REAL VANISHING VISCOSITY APPROXIMATION OF AN INITIAL BOUNDARY VALUE PROBLEM , preprint SISSA 2007.

  3. S. Bianchini, ON THE EULER-LAGRANGE EQUATION FOR A VARIATIONAL PROBLEM: THE GENERAL CASE, preprint SISSA 2007.

  4. G. Alberti, S. Bianchini, L. Caravenna, REDUCTION ON CHARACTERISTICS FOR CONTINUOUS SOLUTIONS OF A SCALAR BALANCE LAW , preprint SISSA 2013.

  5. S. Bianchini, S. Daneri, ON SUDAKOV'S TYPE DECOMPOSITION OF TRANSFERENCE PLANS WITH NORM COSTS , preprint SISSA 2013.
    The Sudakov approach for norm costs revised.

  6. S. Bianchini, M. Bardelloni, THE DECOMPOSITION OF OPTIMAL TRANSPORTATION PROBLEMS WITH CONVEX COST , preprint SISSA 2014.
    The solution to the Monge problem for convex costs.

  7. S. Bianchini, L. Yu, STRUCTURE OF ENTROPY SOLUTIONS TO GENERAL SCALAR CONSERVATION LAWS IN ONE SPACE DIMENSION , preprint SISSA 2014.

  8. S. Bianchini, N. A. Gusev, STEADY NEARLY INCOMPRESSIBLE VECTOR FIELDS IN 2D: CHAIN RULE AND RENORMALIZATION , preprint SISSA 2014.
    Some interesting results on the tangential set and renormalization in 2d.

  9. S. Bianchini, P. Bonicatto, N. A. Gusev, RENORMALIZATION FOR AUTONOMOUS NEARLY INCOMPRESSIBLE BV VECTOR FILEDS IN 2D , preprint SISSA 2014.

  10. S. Bianchini, S. Modena, QUADRATIC INTERACTION FUNCTIONAL FOR GENERAL SYSTEMS OF CONSERVATION LAWS , preprint SISSA 2014.
    The complete proof of the quadratic interaction estimate for conservation laws.

  11. S. Bianchini, E. Marconi, ON THE CONCENTRATION OF ENTROPY FOR SCALAR CONSERVATION LAWS , preprint SISSA 2014.
    The concentration entropy for continuous solutions to scalar conservation laws.