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Mathematics

D-Index
54
Citations
12571
World Ranking
831
National Ranking
405

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Alberto Bressan is affiliated with Pennsylvania State University in the United States. Their research primarily spans the fields of Mathematics and Engineering, with a significant focus on applied and computational aspects of these domains.

The scientist's work is concentrated in several subfields of study, including:

  • Applied Mathematics
  • Computational Mechanics
  • Mathematical Physics
  • Computational Theory and Mathematics
  • Finance

Research topics covered by Bressan include:

  • Navier-Stokes equation solutions
  • Fluid Dynamics and Turbulent Flows
  • Geometric Analysis and Curvature Flows
  • Advanced Mathematical Modeling in Engineering
  • Computational Fluid Dynamics and Aerodynamics
  • Stochastic processes and financial applications
  • Gas Dynamics and Kinetic Theory

Frequent co-authors collaborating with Bressan are:

  • Khai T. Nguyen
  • Maria Teresa Chiri
  • Wen Shen
  • Fabio Ancona
  • Marco Mazzola

Bressan's publications appear predominantly in the following venues:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Mathematical Models and Methods in Applied Sciences
  • Communications in Mathematical Sciences
  • Archive for Rational Mechanics and Analysis

Recent published papers include:

  • Entropy admissibility of the limit solution for a nonlocal model of traffic flow, 2021, Communications in Mathematical Sciences
  • On self-similar solutions to the incompressible Euler equations, 2020, Journal of Differential Equations
  • A posteriori error estimates for self-similar solutions to the Euler equations, 2020, Discrete and Continuous Dynamical Systems
  • On the optimal control of propagation fronts, 2022, Mathematical Models and Methods in Applied Sciences

Among recognized honors, Alberto Bressan was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Hyperbolic systems of conservation laws : the one-dimensional Cauchy problem

    Alberto Bressan

  • Global conservative solutions of the Camassa-Holm equation

    Alberto Bressan;Adrian Constantin;Adrian Constantin

  • Vanishing Viscosity Solutions of Nonlinear Hyperbolic Systems

    Stefano Bianchini;Alberto Bressan

  • Introduction to the Mathematical Theory of Control

    Alberto Bressan;Benedetto Piccoli

  • GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION

    Alberto Bressan;Adrian Constantin

  • Extensions and selections of maps with decomposable values

    Alberto Bressan;Giovanni Colombo

  • Hyperbolic Systems of Conservation Laws

    Alberto Bressan

  • L1-stability estimates for n x n conservation laws

    Alberto Bressan;Tai Ping Liu;Tong Yang

  • Global Solutions of the Hunter--Saxton Equation

    Alberto Bressan;Adrian Constantin

  • Well-posedness of the Cauchy problem for × systems of conservation laws

    Alberto Bressan;Graziano Crasta;Benedetto Piccoli

  • Flows on networks: recent results and perspectives

    Alberto Bressan;Sunčica Čanić;Mauro Garavello;Michael Herty

  • Global solutions of systems of conservation laws by wave-front tracking

    Alberto Bressan

  • The semigroup generated by 2 × 2 conservation laws

    Alberto Bressan;Rinaldo M. Colombo

  • The unique limit of the Glimm scheme

    Alberto Bressan

  • On differential systems with vector-valued impulsive controls.

    Alberto Bressan;Franco Rampazzo

  • Patchy Vector Fields and Asymptotic Stabilization

    Fabio Ancona;Alberto Bressan

  • Uniqueness of Weak Solutions to Systems of Conservation Laws

    Alberto Bressan;Philippe LeFloch

  • Impulsive control systems without commutativity assumptions

    A. Bressan;F. Rampazzo

  • Conservative Solutions to a Nonlinear Variational Wave Equation

    Alberto Bressan;Yuxi Zheng

  • Impulsive control systems with commutative vector fields

    Unknown

  • A lemma and a conjecture on the cost of rearrangements

    Alberto Bressan

  • Modelling and Optimisation of Flows on Networks

    Luigi Ambrosio;Alberto Bressan;Dirk Helbing;Axel Klar

Frequent Co-Authors

Benedetto Piccoli
Benedetto Piccoli Rutgers, The State University of New Jersey
Adrian Constantin
Adrian Constantin University of Vienna
Tong Yang
Tong Yang City University of Hong Kong
Ke Han
Ke Han Florida State University
Yuxi Zheng
Yuxi Zheng Pennsylvania State University
Rinaldo M. Colombo
Rinaldo M. Colombo University of Brescia
Axel Klar
Axel Klar Technical University of Kaiserslautern
Philippe G. LeFloch
Philippe G. LeFloch Sorbonne University
Richard B. Vinter
Richard B. Vinter Imperial College London
Dirk Helbing
Dirk Helbing ETH Zurich

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