# Alberto Bressan

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

## Huck Affiliations

## Publication Tags

Costs Model Traffic Flow Conservation Uniqueness Wind Direction Vorticity Driver Entropy Regularity Total Variation Cauchy Problem Conservation Laws Ocean Currents Wave Equations Hyperbolic Conservation Laws Shape Optimization Class Euler Equations Deflection Irrigation Estimate Branch Approximation Nutrients## Most Recent Publications

#### 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

#### On the regularity of optimal dynamic blocking strategies

Alberto Bressan, Maria Teresa Chiri, 2022, Calculus of Variations and Partial Differential Equations

#### Shock interactions for the Burgers-Hilbert equation

Alberto Bressan, Sondre T. Galtung, Katrin Grunert, Khai T. Nguyen, 2022, Communications in Partial Differential Equations on p. 1795-1844

#### WEIGHTED IRRIGATION PLANS*

Alberto Bressan, Qing Sun, 2022, Communications in Mathematical Sciences on p. 611-651

#### Numerical study of non-uniqueness for 2D compressible isentropic Euler equations

Alberto Bressan, Yi Jiang, Hailiang Liu, 2021, Journal of Computational Physics

#### 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

#### 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

#### 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

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

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

#### Markovian Solutions to Discontinuous ODEs

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

## 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

#### 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

#### Hyperbolic conservation laws: An illustrated tutorial

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

#### 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

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

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

#### 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

#### 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

#### 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