Alberto Bressan
Encyclopedia
Alberto Bressan is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...
) is an Italian
Italy
Italy , officially the Italian Republic languages]] under the European Charter for Regional or Minority Languages. In each of these, Italy's official name is as follows:;;;;;;;;), is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
at Penn State University. His primary field of research is mathematical analysis
Mathematical analysis
Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions...
including hyperbolic systems of conservation law
Conservation law
In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves....
s, impulsive control of Lagrangian system
Lagrangian system
In mathematics, a Lagrangian system is a pair of a smoothfiber bundle Y\to X and a Lagrangian density L which yields the Euler-Lagrange differential operator acting on sections of Y\to X.In classical mechanics, many dynamical systems are...
s, and non-cooperative differential game
Differential game
In game theory, differential games are a group of problems related to the modeling and analysis of conflict in the context of a dynamical system. The problem usually consists of two actors, a pursuer and an evader, with conflicting goals...
s.
He obtained his PhD
PHD
PHD may refer to:*Ph.D., a doctorate of philosophy*Ph.D. , a 1980s British group*PHD finger, a protein sequence*PHD Mountain Software, an outdoor clothing and equipment company*PhD Docbook renderer, an XML renderer...
in mathematics from University of Colorado
University of Colorado at Boulder
The University of Colorado Boulder is a public research university located in Boulder, Colorado...
under Jerrold Bebernes in 1982. Bressan received a full professorship at the SISSA
International School for Advanced Studies
The ' is an international, Italian-state-supported post-graduate teaching and research institute with a special statute, located in Trieste ....
in Trieste, Italy in 1991. In 2003, he moved to Penn State University to assume a full professorship there — a position he still holds. He won the Bôcher Memorial Prize
Bôcher Memorial Prize
The Bôcher Memorial Prize was founded by the American Mathematical Society in 1923 in memory of Maxime Bôcher with an initial endowment of $1,450 . It is awarded every five years for a notable research memoir in analysis that has appeared during the past six years in a recognized North American...
in 2008 and the Analysis of Partial Differential Equations Prize of the SIAM
Society for Industrial and Applied Mathematics
The Society for Industrial and Applied Mathematics was founded by a small group of mathematicians from academia and industry who met in Philadelphia in 1951 to start an organization whose members would meet periodically to exchange ideas about the uses of mathematics in industry. This meeting led...
in 2007 for his work in PDEs
Partial differential equation
In mathematics, partial differential equations are a type of differential equation, i.e., a relation involving an unknown function of several independent variables and their partial derivatives with respect to those variables...
. He was appointed to the Eberly Family Chair in Mathematics at Penn State in August 2008.
In addition to the above, his honors include the A. Feltrinelli prize for Mathematics, Mechanics and Applications of the Accademia Nazionale dei Lincei in Rome.
Bressan has contributed several important results in the theory of hyperbolic conservation laws and was invited to give a plenary talk at the International Congress of Mathematicians
International Congress of Mathematicians
The International Congress of Mathematicians is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union ....
at Beijing in August 2002.
His early work was on certain mathematical problems from the theory of combustion. His research to date includes a number of key results in such diverse areas as: hyperbolic systems of conservation laws and nonlinear wave equations, impulsive control of Lagrangian system, systems of Hamilton–Jacobi equations (related to non-cooperative differential games), Nash equilibrium solutions in feedback form for infinite-horizon, discounted differential games, dynamic blocking problems (mathematical models of wild fire confinement), and optimization problems for elliptic equations.