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 SolutionMost 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