# Alberto Bressan

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

## Huck Affiliations

## Publication Tags

Costs Traffic Flow Model Nutrients Conservation Water Driver Uniqueness Cauchy Problem Cost Function Conservation Laws Cost Functions Leaves Stackelberg Equilibrium Branch Vorticity Shape Optimization Hyperbolic Conservation Laws Computer Simulation Euler Equations Nash Equilibrium Approximation Class Optimization Problem Weak Solution## Most Recent Papers

#### A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws

Alberto Bressan, Maria Teresa Chiri, Wen Shen, 2021, Archive for Rational Mechanics and Analysis on p. 357-402

#### Markovian Solutions to Discontinuous ODEs

Alberto Bressan, Marco Mazzola, Khai T. Nguyen, 2021, Journal of Dynamics and Differential Equations

#### A 2-dimensional shape optimization problem for tree branches

Alberto Bressan, Sondre Tesdal Galtung, 2021, Networks and Heterogeneous Media on p. 1-29

#### A POSTERIORI ERROR ESTIMATES for SELF-SIMILAR SOLUTIONS to the EULER EQUATIONS

Alberto Bressan, Wen Shen, 2021, Discrete and Continuous Dynamical Systems on p. 113-130

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

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

#### On traffic flow with nonlocal flux: a relaxation representation

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

#### Competition models for plant stems

Alberto Bressan, Sondre T. Galtung, Audun Reigstad, Johanna Ridder, 2020, Journal of Differential Equations on p. 1571-1611

#### Variational problems for tree roots and branches

Alberto Bressan, Michele Palladino, Qing Sun, 2020, Calculus of Variations and Partial Differential Equations

#### A dynamic model of the limit order book

Alberto Bressan, Marco Mazzola, Hongxu Wei, 2020, Discrete and Continuous Dynamical Systems - Series B on p. 1015-1041

#### On the Generic Structure and Stability of Stackelberg Equilibria

Alberto Bressan, Yilun Jiang, 2019, Journal of Optimization Theory and Applications on p. 840-880

## Most-Cited Papers

#### Noncooperative Differential Games

Alberto Bressan, 2011, Milan Journal of Mathematics on p. 357-427

#### 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

#### Optima and equilibria for a model of traffic flow

Alberto Bressan, Ke Han, 2011, SIAM Journal on Mathematical Analysis on p. 2384-2417

#### 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

#### Hyperbolic conservation laws

Alberto Bressan, 2013, Lecture Notes in Mathematics on p. 157-245

#### Existence of optima and equilibria for traffic flow on networks

Alberto Bressan, Ke Han, 2013, Networks and Heterogeneous Media on p. 627-648

#### Nash equilibria for a model of traffic flow with several groups of drivers

Alberto Bressan, Ke Han, 2012, ESAIM - Control, Optimisation and Calculus of Variations on p. 969-986

#### Trajectories of differential inclusions with state constraints

Alberto Bressan, Giancarlo Facchi, 2011, Journal of Differential Equations on p. 2267-2281

#### 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

#### A multidimensional optimal-harvesting problem with measure-valued solutions

Alberto Bressan, Giuseppe Maria Coclite, Wen Shen, 2013, SIAM Journal on Control and Optimization on p. 1186-1202