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- Alberto Bressan

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
51
Citations
10,734
235
World Ranking
742
National Ranking
372

2013 - Fellow of the American Mathematical Society

- Mathematical analysis
- Geometry
- Algebra

Mathematical analysis, Conservation law, Initial value problem, Semigroup and Cauchy problem are his primary areas of study. His work carried out in the field of Mathematical analysis brings together such families of science as Pure mathematics and Nonlinear system. His Conservation law research incorporates themes from Riemann problem, Hyperbolic systems, Uniqueness, Hyperbolic partial differential equation and Calculus.

His Initial value problem research is multidisciplinary, incorporating perspectives in Finite time, Convex domain, Bounded function and Heat equation. Alberto Bressan has included themes like Riemann hypothesis, Fixed point and Camassa–Holm equation in his Semigroup study. As part of one scientific family, Alberto Bressan deals mainly with the area of Cauchy problem, narrowing it down to issues related to the Space, and often Elliptic partial differential equation, Well-posed problem, Tangent vector and Field.

- Hyperbolic systems of conservation laws : the one-dimensional Cauchy problem (712 citations)
- Global conservative solutions of the Camassa-Holm equation (644 citations)
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION (412 citations)

His main research concerns Mathematical analysis, Conservation law, Pure mathematics, Initial value problem and Applied mathematics. His research combines Nonlinear system and Mathematical analysis. In his study, which falls under the umbrella issue of Conservation law, Hyperbolic partial differential equation is strongly linked to Semigroup.

His Initial value problem research is multidisciplinary, incorporating elements of Space and Wave equation. His Uniqueness study combines topics in areas such as Ode and Camassa–Holm equation. His studies in Cauchy problem integrate themes in fields like Riemann problem and Combinatorics.

- Mathematical analysis (37.54%)
- Conservation law (29.35%)
- Pure mathematics (15.36%)

- Mathematical analysis (37.54%)
- Uniqueness (11.95%)
- Conservation law (29.35%)

His primary scientific interests are in Mathematical analysis, Uniqueness, Conservation law, Applied mathematics and Initial value problem. His work in Mathematical analysis is not limited to one particular discipline; it also encompasses Plane. His Uniqueness research incorporates themes from Optimization problem, Boundary value problem, Ode and Camassa–Holm equation.

His work carried out in the field of Conservation law brings together such families of science as Backward Euler method, Mathematical physics, Class and Mathematical optimization, Nash equilibrium. His work on Well-posed problem as part of general Applied mathematics research is often related to A priori and a posteriori, thus linking different fields of science. Initial value problem and Fixed point are frequently intertwined in his study.

- Flows on networks: recent results and perspectives (101 citations)
- Uniqueness of Conservative Solutions to the Camassa-Holm Equation via Characteristics (47 citations)
- Unique Conservative Solutions to a Variational Wave Equation (25 citations)

- Mathematical analysis
- Geometry
- Topology

Alberto Bressan mainly investigates Mathematical analysis, Initial value problem, Uniqueness, Conservation law and Piecewise. Alberto Bressan combines subjects such as Plane and Dense set with his study of Mathematical analysis. His studies deal with areas such as Weak solution, Cauchy problem, Pure mathematics and Constant as well as Plane.

His biological study spans a wide range of topics, including Fixed point, Lipschitz continuity, Space and Applied mathematics. His research in Uniqueness intersects with topics in Graph, Control theory and Camassa–Holm equation. Alberto Bressan performs multidisciplinary study on Conservation law and Triangular systems in his works.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Hyperbolic systems of conservation laws : the one-dimensional Cauchy problem

Alberto Bressan.

**(2000)**

1141 Citations

Hyperbolic systems of conservation laws : the one-dimensional Cauchy problem

Alberto Bressan.

**(2000)**

1141 Citations

Global conservative solutions of the Camassa-Holm equation

Alberto Bressan;Adrian Constantin;Adrian Constantin.

Archive for Rational Mechanics and Analysis **(2007)**

760 Citations

Global conservative solutions of the Camassa-Holm equation

Alberto Bressan;Adrian Constantin;Adrian Constantin.

Archive for Rational Mechanics and Analysis **(2007)**

760 Citations

Vanishing Viscosity Solutions of Nonlinear Hyperbolic Systems

Stefano Bianchini;Alberto Bressan.

Annals of Mathematics **(2005)**

590 Citations

Vanishing Viscosity Solutions of Nonlinear Hyperbolic Systems

Stefano Bianchini;Alberto Bressan.

Annals of Mathematics **(2005)**

590 Citations

Introduction to the Mathematical Theory of Control

Alberto Bressan;Benedetto Piccoli.

**(2007)**

536 Citations

Extensions and selections of maps with decomposable values

Alberto Bressan;Giovanni Colombo.

Studia Mathematica **(1988)**

488 Citations

Extensions and selections of maps with decomposable values

Alberto Bressan;Giovanni Colombo.

Studia Mathematica **(1988)**

488 Citations

GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION

Alberto Bressan;Adrian Constantin.

Analysis and Applications **(2007)**

471 Citations

Journal of Differential Equations

(Impact Factor: 2.615)

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