Bressan, Alberto 1956
Overview
Works:  34 works in 122 publications in 2 languages and 2,089 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Thesis advisor, Creator 
Classifications:  QA377, 515.353 
Publication Timeline
.
Most widely held works by
Alberto Bressan
Hyperbolic systems of balance laws : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1421, 2003 by
Alberto Bressan(
Book
)
21 editions published in 2007 in English and held by 253 WorldCat member libraries worldwide
The present Cime volume includes 4 lecture courses by Bressan, Serre, Zumbrun and Williams and a Tutorial by Bressan on the Center Manifold Theorem. Bressan??'s notes start with an extensive review of hyperbolic conservation laws. Then he introduces the vanishing viscosity approach and explains clearly the building blocks of the theory in particular the crucial role of the decomposition by travelling waves. Serre focuses on existence and stability for discrete shock profiles, he reviews the existence both in the rational than in the irrational cases and gives a concise introduction to the use
21 editions published in 2007 in English and held by 253 WorldCat member libraries worldwide
The present Cime volume includes 4 lecture courses by Bressan, Serre, Zumbrun and Williams and a Tutorial by Bressan on the Center Manifold Theorem. Bressan??'s notes start with an extensive review of hyperbolic conservation laws. Then he introduces the vanishing viscosity approach and explains clearly the building blocks of the theory in particular the crucial role of the decomposition by travelling waves. Serre focuses on existence and stability for discrete shock profiles, he reviews the existence both in the rational than in the irrational cases and gives a concise introduction to the use
Hyperbolic systems of conservation laws : the onedimensional Cauchy problem by
Alberto Bressan(
Book
)
15 editions published between 2000 and 2010 in English and held by 247 WorldCat member libraries worldwide
Alberto Bressan offers a selfcontained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on the study of discontinuous solutions, characterized by the appearance of shock waves
15 editions published between 2000 and 2010 in English and held by 247 WorldCat member libraries worldwide
Alberto Bressan offers a selfcontained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on the study of discontinuous solutions, characterized by the appearance of shock waves
Wellposedness of the Cauchy problem for nxn systems of conservation laws by
Alberto Bressan(
Book
)
14 editions published in 2000 in English and held by 244 WorldCat member libraries worldwide
14 editions published in 2000 in English and held by 244 WorldCat member libraries worldwide
Lecture notes on functional analysis with applications to linear partial differential equations by
Alberto Bressan(
Book
)
10 editions published between 2012 and 2013 in English and held by 190 WorldCat member libraries worldwide
10 editions published between 2012 and 2013 in English and held by 190 WorldCat member libraries worldwide
Modelling and optimisation of flows on networks : Cetraro, Italy 2009 by
Luigi Ambrosio(
Book
)
9 editions published between 2012 and 2013 in English and held by 99 WorldCat member libraries worldwide
In recent years flows in networks have attracted the interest of many researchers from different areas, e.g. applied mathematicians, engineers, physicists, economists. The main reason for this ubiquity is the wide and diverse range of applications, such as vehicular traffic, supply chains, blood flow, irrigation channels, data networks and others. This book presents an extensive set of notes by world leaders on the main mathematical techniques used to address such problems, together with investigations into specific applications. The main focus is on partial differential equations in networks, but ordinary differential equations and optimal transport are also included. Moreover, the modeling is completed by analysis, numerics, control and optimization of flows in networks
9 editions published between 2012 and 2013 in English and held by 99 WorldCat member libraries worldwide
In recent years flows in networks have attracted the interest of many researchers from different areas, e.g. applied mathematicians, engineers, physicists, economists. The main reason for this ubiquity is the wide and diverse range of applications, such as vehicular traffic, supply chains, blood flow, irrigation channels, data networks and others. This book presents an extensive set of notes by world leaders on the main mathematical techniques used to address such problems, together with investigations into specific applications. The main focus is on partial differential equations in networks, but ordinary differential equations and optimal transport are also included. Moreover, the modeling is completed by analysis, numerics, control and optimization of flows in networks
Introduction to the mathematical theory of control by
Alberto Bressan(
Book
)
11 editions published in 2007 in English and Italian and held by 85 WorldCat member libraries worldwide
11 editions published in 2007 in English and Italian and held by 85 WorldCat member libraries worldwide
Nonlinear conservation laws and applications by
Alberto Bressan(
Book
)
13 editions published in 2011 in English and held by 63 WorldCat member libraries worldwide
This volume contains the proceedings of the Summer Program on Nonlinear Conservation Laws and Applications held at the IMA on July 13031, 2009. Hyperbolic conservation laws is a classical subject, which has experienced vigorous growth in recent years. The present collection provides a timely survey of the state of the art in this exciting field, and a comprehensive outlook on open problems. Contributions of more theoretical nature cover the following topics: global existence and uniqueness theory of onedimensional systems, multidimensional conservation laws in several space variables and approximations of their solutions, mathematical analysis of fluid motion, stability and dynamics of viscous shock waves, singular limits for viscous systems, basic principles in the modeling of turbulent mixing, transonic flows past an obstacle and a fluid dynamic approach for isometric embedding in geometry, models of nonlinear elasticity, the Monge problem, and transport equations with rough coefficients. In addition, there are a number of papers devoted to applications. These include: models of blood flow, selfgravitating compressible fluids, granular flow, charge transport in fluids, and the modeling and control of traffic flow on networks
13 editions published in 2011 in English and held by 63 WorldCat member libraries worldwide
This volume contains the proceedings of the Summer Program on Nonlinear Conservation Laws and Applications held at the IMA on July 13031, 2009. Hyperbolic conservation laws is a classical subject, which has experienced vigorous growth in recent years. The present collection provides a timely survey of the state of the art in this exciting field, and a comprehensive outlook on open problems. Contributions of more theoretical nature cover the following topics: global existence and uniqueness theory of onedimensional systems, multidimensional conservation laws in several space variables and approximations of their solutions, mathematical analysis of fluid motion, stability and dynamics of viscous shock waves, singular limits for viscous systems, basic principles in the modeling of turbulent mixing, transonic flows past an obstacle and a fluid dynamic approach for isometric embedding in geometry, models of nonlinear elasticity, the Monge problem, and transport equations with rough coefficients. In addition, there are a number of papers devoted to applications. These include: models of blood flow, selfgravitating compressible fluids, granular flow, charge transport in fluids, and the modeling and control of traffic flow on networks
Two mathematical problems related to the theory of combustion by
Alberto Bressan(
)
2 editions published in 1982 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1982 in English and held by 3 WorldCat member libraries worldwide
A center manifold technique for tracing viscous waves by
Stefano Bianchini(
Book
)
1 edition published in 2001 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 2 WorldCat member libraries worldwide
The semigroup generated by 2x2 conservation laws by
Alberto Bressan(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Hyperbolic problems : theory, numerics and applications : proceedings of the fourteenth International Conference on Hyperbolic
Problems held in Padova, June 2529, 2012 by
Fabio Ancona(
Book
)
2 editions published in 2014 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2014 in English and held by 2 WorldCat member libraries worldwide
The semigroup generated by 2 x 2 conservation laws by
Alberto Bressan(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Global Solutions for the OneDimensional Equations of a Viscous Reactive Gas by
Aldo Bressan(
Book
)
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
The behavior of a confined, heatconductive, viscous, and chemically reactive gas is described by a system of partial differential equations which is of hyperbolicparabolic type and is highly nonlinear. This paper proves the existence of a unique solution, global in time, for the corresponding initialboundary value problem. The proof combines a local existence theorem with global a priori bounds on the solutions, and relies on a preliminary estimate for the total free energy of the system. From a physical point of view, these results show that the heat conductivity and the viscosity of the gas prevent shocks from developing, at all positive times, for arbitrarily large Lipschitz continuous initial data
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
The behavior of a confined, heatconductive, viscous, and chemically reactive gas is described by a system of partial differential equations which is of hyperbolicparabolic type and is highly nonlinear. This paper proves the existence of a unique solution, global in time, for the corresponding initialboundary value problem. The proof combines a local existence theorem with global a priori bounds on the solutions, and relies on a preliminary estimate for the total free energy of the system. From a physical point of view, these results show that the heat conductivity and the viscosity of the gas prevent shocks from developing, at all positive times, for arbitrarily large Lipschitz continuous initial data
The Generic Local TimeOptimal Stabilizing Controls in Dimension 3 by
Mathematics Research Center (United States. Army)(
Book
)
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
This work is part of a general program of research whose goal is to determine the local properties of control systems of a certain form from the linear relations among the Lie brackets of x and Y at p sub O
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
This work is part of a general program of research whose goal is to determine the local properties of control systems of a certain form from the linear relations among the Lie brackets of x and Y at p sub O
CONTROL PROBLEMS IN INFECTIOUS DISEASE MANAGEMENT by Dongmei Zhang(
)
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
This dissertation presents applications of mathematical control theory to better under stand and prevent infectious disease transmission in epidemiology. Control of structured epidemic models with age heterogeneity and spatial heterogeneity are formulated and an alyzed separately. Age structured model is crucial for disease transmission such as HIV. We introduce continuous age structure in both course of infection of individuals and the transmission rate in the population. Not only we analyzed the disease transmission under such detailed agestructured model, we further applied game theory to identify the ratio nal behavior accordingly. Notice that disease often spread into population form a disease reservoir nearby, we also researched a simplified spatial model in one dimension regarding how to control disease from spreading into nearby community. In both age and spatially structured model, we provide mathematical analysis of the existence and derived necessary conditions of the possible optimal strategy. Numerical simulations are also included to show ways to calculate the optimal strategy. In order to fundamentally prevent the disease spread from disease reservoir to the community nearby, we further investigate the controllability problems of the disease reservoir in two dimension, including the confinment and steering problems. The asymptotic shape of the reachable set are also analyzed
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
This dissertation presents applications of mathematical control theory to better under stand and prevent infectious disease transmission in epidemiology. Control of structured epidemic models with age heterogeneity and spatial heterogeneity are formulated and an alyzed separately. Age structured model is crucial for disease transmission such as HIV. We introduce continuous age structure in both course of infection of individuals and the transmission rate in the population. Not only we analyzed the disease transmission under such detailed agestructured model, we further applied game theory to identify the ratio nal behavior accordingly. Notice that disease often spread into population form a disease reservoir nearby, we also researched a simplified spatial model in one dimension regarding how to control disease from spreading into nearby community. In both age and spatially structured model, we provide mathematical analysis of the existence and derived necessary conditions of the possible optimal strategy. Numerical simulations are also included to show ways to calculate the optimal strategy. In order to fundamentally prevent the disease spread from disease reservoir to the community nearby, we further investigate the controllability problems of the disease reservoir in two dimension, including the confinment and steering problems. The asymptotic shape of the reachable set are also analyzed
Optimal bidding strategies in a limit order book by Giancarlo Facchi(
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
An analytical approach to sustainable transportation network design by Ke Han(
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
A model of economic growth driven by competitive innovation by Sijia Shen(
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
Mathematical control and dynamic blocking problems by Tao Wang(
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
On the Taylar approximation of control systems by
Mathematics Research Center (United States. Army)(
Book
)
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Marcati, P. A. Editor
 Centro internazionale matematico estivo Other Publisher
 Piccoli, Benedetto 1968 Editor
 Crasta, Graziano
 Ambrosio, Luigi Author Creator
 Zuazua, E. (Enrique) Creator
 Rascle, M. 1947 Editor
 Klar, Axel 1965
 Helbing, Dirk
 Chen, GuiQiang G. Editor
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Associated Subjects
Cauchy problem CombustionMathematical models Conservation laws (Mathematics) Control theory Differentiable dynamical systems Differential equations, Hyperbolic Differential equations, Linear Differential equations, Nonlinear Differential equations, Partial Functional analysis Global analysis (Mathematics) Integrodifferential equations Mathematical optimization Mathematical physics Mathematics Nonlinear control theory Numerical analysis System analysis Thermodynamics Traffic flowMathematical models