Alberto Bressan

Advisor for the Center for Mathematics of Living and Mimetic Matter

Huck Affiliations

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Model Conservation Traffic Flow Costs Uniqueness Entropy Wind Direction Vorticity Conservation Laws Regularity Class Total Variation Irrigation Deflection Roots Hyperbolic Conservation Laws Ocean Currents Wave Equations Hilbert Cauchy Problem Approximation Estimate Elongation Friction Weak Solution

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

Shift differentials of maps in BV spaces

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

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

OPTIMAL SHAPES FOR TREE ROOTS

Alberto Bressan, Sondre T. Galtung, Qing Sun, 2022, SIAM Journal on Mathematical Analysis on p. 4757-4784

WEIGHTED IRRIGATION PLANS*

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

SOIL SEARCHING BY AN ARTIFICIAL ROOT

Fabio Ancona, Alberto Bressan, Maria Teresa Chiri, 2022, SIAM Journal on Applied Mathematics on p. 1423-1445

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

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

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

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

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

On Traffic Flow with Nonlocal Flux: A Relaxation Representation

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