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.
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.
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.
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On A Class Of Doubly Nonlinear Evolution Equations
P. Colli;A. Visintin.
Communications in Partial Differential Equations (1990)
On some doubly nonlinear evolution equations in Banach spaces
Japan Journal of Industrial and Applied Mathematics (1992)
On a Cahn-Hilliard type phase field system related to tumor growth
Pierluigi Colli;Gianni Gilardi;Danielle Hilhorst.
Discrete and Continuous Dynamical Systems (2014)
Global existence of weak solutions to a nonlocal Cahn–Hilliard–Navier–Stokes system
Pierluigi Colli;Sergio Frigeri;Maurizio Grasselli.
Journal of Mathematical Analysis and Applications (2012)
Thermo-mechanical evolution of shape memory alloys
Pierluigi Colli;Michel Frémond;Augusto Visintin.
Quarterly of Applied Mathematics (1990)
On the Cahn–Hilliard equation with dynamic boundary conditions and a dominating boundary potential
Pierluigi Colli;Gianni Gilardi;Jürgen Sprekels.
Journal of Mathematical Analysis and Applications (2014)
A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions
Pierluigi Colli;Gianni Gilardi;Juergen Sprekels.
Advances in Nonlinear Analysis (2015)
Global solution to the Allen–Cahn equation with singular potentials and dynamic boundary conditions
Luca Calatroni;Pierluigi Colli.
Nonlinear Analysis-theory Methods & Applications (2013)
Well-posedness of the weak formulation for the phase-field model with memory
Pierluigi Colli;Gianni Gilardi;Maurizio Grasselli.
Advances in Differential Equations (1997)
Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws
Pierluigi Colli;Philippe Laurencçot.
Physica D: Nonlinear Phenomena (1998)
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