What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Thermodynamics
- Algebra
His scientific interests lie mostly in Mathematical analysis, Boundary value problem, Uniqueness, Cahn–Hilliard equation and Limit.
His Mathematical analysis study integrates concerns from other disciplines, such as Statistical physics and Dissipative system.
His Boundary value problem research includes themes of Well posedness, Conservation of mass, Domain and Optimal control.
His Optimal control study combines topics from a wide range of disciplines, such as Variational inequality, Applied mathematics and Differentiable function.
He has researched Uniqueness in several fields, including Cauchy problem and Type.
His Limit research integrates issues from Zero, Compact space and Asymptotic analysis.
His most cited work include:
- On A Class Of Doubly Nonlinear Evolution Equations (168 citations)
- On some doubly nonlinear evolution equations in Banach spaces (99 citations)
- Global existence of weak solutions to a nonlocal Cahn–Hilliard–Navier–Stokes system (89 citations)
What are the main themes of his work throughout his whole career to date?
Pierluigi Colli mainly focuses on Mathematical analysis, Boundary value problem, Type, Uniqueness and Nonlinear system.
His work in Mathematical analysis is not limited to one particular discipline; it also encompasses Phase transition.
His study looks at the intersection of Boundary value problem and topics like Optimal control with Differentiable function, State variable and Lagrange multiplier.
As a part of the same scientific study, Pierluigi Colli usually deals with the Type, concentrating on Applied mathematics and frequently concerns with Monotone polygon and Field.
His Uniqueness research includes elements of Initial value problem, Stefan problem, Viscosity and Constant.
In his study, Bounded function and Operator is inextricably linked to Domain, which falls within the broad field of Nonlinear system.
He most often published in these fields:
- Mathematical analysis (60.20%)
- Boundary value problem (35.03%)
- Type (25.17%)
What were the highlights of his more recent work (between 2017-2021)?
- Applied mathematics (22.11%)
- Mathematical analysis (60.20%)
- Optimal control (20.41%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Applied mathematics, Mathematical analysis, Optimal control, Boundary value problem and Type.
His Applied mathematics research is multidisciplinary, incorporating perspectives in Function, Uniqueness and Monotone polygon.
Pierluigi Colli has included themes like Phase transition, Work, Sliding mode control, Nonlinear system and Constant in his Mathematical analysis study.
He interconnects Lagrange multiplier, Mechanics, Convection, State variable and Differentiable function in the investigation of issues within Optimal control.
His work deals with themes such as Logarithm and Partial differential equation, Cahn–Hilliard equation, which intersect with Boundary value problem.
The Type study combines topics in areas such as Bounded function, Order and Asymptotic analysis.
Between 2017 and 2021, his most popular works were:
- Sliding Mode Control for a Phase Field System Related to Tumor Growth (29 citations)
- Optimal Velocity Control of a Viscous Cahn--Hilliard System with Convection and Dynamic Boundary Conditions (27 citations)
- On a Cahn–Hilliard system with convection and dynamic boundary conditions (25 citations)
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