What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (37.54%)
- Conservation law (29.35%)
- Pure mathematics (15.36%)
What were the highlights of his more recent work (between 2013-2021)?
- Mathematical analysis (37.54%)
- Uniqueness (11.95%)
- Conservation law (29.35%)
In recent papers he was focusing on the following fields of study:
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.
Between 2013 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
