Alberto Bressan

Advisor for the Center for Mathematics of Living and Mimetic Matter

Huck Affiliations

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Wave Equations Uniqueness Traffic Flow Model Wind Direction Conservation Entropy Conservation Laws Nonlinear Wave Equation Semilinear Systems Deflection Conservation Law Variational Equation Wave Equation Initial Datum Ocean Currents Unique Solution ? Friction Open Set Direct Proof Weak Solution Turbulent Mixing Coefficients Regularity Unique Solution

Most Recent Publications

Diffusion Approximations of Markovian Solutions to Discontinuous ODEs

Alberto Bressan, Marco Mazzola, Khai T. Nguyen, 2024, Journal of Dynamics and Differential Equations on p. 1367-1404

Unique solutions to hyperbolic conservation laws with a strictly convex entropy

Alberto Bressan, Graziano Guerra, 2024, Journal of Differential Equations on p. 432-447

CONTROLLED TRAVELING PROFILES FOR MODELS OF INVASIVE BIOLOGICAL SPECIES

Alberto Bressan, Minyan Zhang, 2024, ESAIM - Control, Optimisation and Calculus of Variations

A Remark on the Uniqueness of Solutions to Hyperbolic Conservation Laws

Alberto Bressan, Camillo De Lellis, 2023, Archive for Rational Mechanics and Analysis

Generic Properties of First-Order Mean Field Games

Alberto Bressan, Khai T. Nguyen, 2023, Dynamic Games and Applications on p. 750-782

Optimal control of moving sets

Alberto Bressan, Maria Teresa Chiri, Najmeh Salehi, 2023, Journal of Differential Equations on p. 97-137

Markovian Solutions to Discontinuous ODEs

Alberto Bressan, Marco Mazzola, Khai T. Nguyen, 2023, Journal of Dynamics and Differential Equations on p. 135-162

EXAMPLES AND CONJECTURES ON THE REGULARITY OF SOLUTIONS TO BALANCE LAWS

Fabio Ancona, Stefano Bianchini, Alberto Bressan, Rinaldo M. Colombo, Khai T. Nguyen, 2023, Quarterly of Applied Mathematics on p. 433-454

On the optimal control of propagation fronts

Alberto Bressan, Maria Teresa Chiri, Najmeh Salehi, 2022, Mathematical Models and Methods in Applied Sciences on p. 1109-1140

Shift differentials of maps in BV spaces

Alberto Bressan, Marta Lewicka, 2022, on p. 47-61

Most-Cited Papers

Uniqueness of conservative solutions to the camassa-holm equation via characteristics

Alberto Bressan, Geng Chen, Qingtian Zhang, 2015, Discrete and Continuous Dynamical Systems on p. 25-42

On Traffic Flow with Nonlocal Flux: A Relaxation Representation

Alberto Bressan, Wen Shen, 2020, Archive for Rational Mechanics and Analysis on p. 1213-1236

Unique Conservative Solutions to a Variational Wave Equation

Alberto Bressan, Geng Chen, Qingtian Zhang, 2015, Archive for Rational Mechanics and Analysis on p. 1069-1101

The Deflection Angle of Surface Ocean Currents From the Wind Direction

A. Bressan, A. Constantin, 2019, Journal of Geophysical Research: Oceans on p. 7412-7420

Generic regularity of conservative solutions to a nonlinear wave equation

Alberto Bressan, Geng Chen, 2017, Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis on p. 335-354

Global existence of weak solutions for the burgers-hilbert equation

Alberto Bressan, Khai T. Nguyen, 2014, SIAM Journal on Mathematical Analysis on p. 2884-2904

Lipschitz Metrics for a Class of Nonlinear Wave Equations

Alberto Bressan, Geng Chen, 2017, Archive for Rational Mechanics and Analysis on p. 1303-1343

Conservation law models for traffic flow on a network of roads

Alberto Bressan, Khai T. Nguyen, 2015, Networks and Heterogeneous Media on p. 255-293

Representation of dissipative solutions to a nonlinear variational wave equation

Alberto Bressan, Tao Huang, 2016, Communications in Mathematical Sciences on p. 31-53

Entropy Admissibility Of The Limit Solution For A Nonlocal Model Of Traffic Flow

Alberto Bressan, Wen Shen, 2021, Communications in Mathematical Sciences on p. 1447-1450