What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Partial differential equation
His scientific interests lie mostly in Mathematical analysis, Uniqueness, Cahn–Hilliard equation, Traveling wave and Partial differential equation.
Xinfu Chen has included themes like Bistability and Nonlinear system in his Mathematical analysis study.
His studies in Uniqueness integrate themes in fields like Initial value problem and Fixed point.
Cahn–Hilliard equation is intertwined with Spectral analysis, Hele-Shaw flow and Complex system in his research.
His Traveling wave study incorporates themes from Translation, Exponential stability and Dynamics.
His study focuses on the intersection of Exponential stability and fields such as Inverse with connections in the field of Mathematical physics.
His most cited work include:
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations (358 citations)
- Convergence of the Cahn-Hilliard equation to the Hele-Shaw model (287 citations)
- Convergence of the Cahn-Hilliard equation to the Hele-Shaw model (287 citations)
What are the main themes of his work throughout his whole career to date?
Mathematical analysis, Boundary value problem, Uniqueness, Free boundary problem and Traveling wave are his primary areas of study.
His Mathematical analysis research is multidisciplinary, incorporating perspectives in Bistability and Nonlinear system.
The concepts of his Boundary value problem study are interwoven with issues in Limit and Mathematical physics.
The various areas that Xinfu Chen examines in his Uniqueness study include Asymptotic expansion, Exponential stability, Inverse, Hitting time and Variational inequality.
His study in Asymptotic expansion is interdisciplinary in nature, drawing from both Mathematical optimization, Method of matched asymptotic expansions and Cahn–Hilliard equation.
His work investigates the relationship between Partial differential equation and topics such as Differential equation that intersect with problems in Cauchy problem.
He most often published in these fields:
- Mathematical analysis (70.80%)
- Boundary value problem (18.25%)
- Uniqueness (17.52%)
What were the highlights of his more recent work (between 2013-2020)?
- Mathematical analysis (70.80%)
- Applied mathematics (11.68%)
- Boundary value problem (18.25%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Mathematical analysis, Applied mathematics, Boundary value problem, Spike and Mathematical optimization.
His work in the fields of Mathematical analysis, such as Traveling wave, intersects with other areas such as Type.
His work focuses on many connections between Traveling wave and other disciplines, such as Scalar, that overlap with his field of interest in Linear analysis, Calculus, Scalar equation and Mathematical physics.
His work on Dirichlet distribution as part of general Boundary value problem study is frequently linked to Thermoelastic damping, therefore connecting diverse disciplines of science.
His Mathematical optimization research integrates issues from Put option, Minimal model and Compatibility.
His studies deal with areas such as Henon equation, Critical dimension, Biharmonic equation and Dirichlet boundary condition as well as Unit sphere.
Between 2013 and 2020, his most popular works were:
- Analysis of the Cahn–Hilliard Equation with a Relaxation Boundary Condition Modeling the Contact Angle Dynamics (14 citations)
- Portfolio Selection with Capital Gains Tax, Recursive Utility, and Regime Switching (13 citations)
- Stability of spiky solution of Keller–Segel's minimal chemotaxis model (12 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Geometry
His primary areas of investigation include Mathematical analysis, Applied mathematics, Cell aggregation, Mathematical optimization and Uniqueness.
His work on Cahn–Hilliard equation and Limit as part of general Mathematical analysis study is frequently linked to Complex system, bridging the gap between disciplines.
His study brings together the fields of Traveling wave and Applied mathematics.
His study on Cell aggregation is intertwined with other disciplines of science such as Spike, Exponential stability, Asymptotic expansion, Monotone polygon and Minimal model.
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