# Alberto Bressan

### Advisor for the Center for Mathematics of Living and Mimetic Matter

## Huck Affiliations

## Publication Tags

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

#### 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

#### On Traffic Flow with Nonlocal Flux: A Relaxation Representation

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

#### 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

#### 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

#### Lipschitz Metrics for a Class of Nonlinear Wave Equations

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

#### Representation of dissipative solutions to a nonlinear variational wave equation

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

#### On self-similar solutions to the incompressible Euler equations

Alberto Bressan, Ryan Murray, 2020, Journal of Differential Equations on p. 5142-5203