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- Xinfu Chen

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
40
Citations
6,797
136
World Ranking
1377
National Ranking
622

- 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.

- 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)

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.

- Mathematical analysis (70.80%)
- Boundary value problem (18.25%)
- Uniqueness (17.52%)

- Mathematical analysis (70.80%)
- Applied mathematics (11.68%)
- Boundary value problem (18.25%)

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.

- 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)

- 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.

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.

Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations

Xinfu Chen.

Advances in Differential Equations **(1997)**

613 Citations

Convergence of the Cahn-Hilliard equation to the Hele-Shaw model

Nicholas D. Alikakos;Nicholas D. Alikakos;Nicholas D. Alikakos;Peter W. Bates;Peter W. Bates;Peter W. Bates;Xinfu Chen;Xinfu Chen;Xinfu Chen.

Archive for Rational Mechanics and Analysis **(1994)**

457 Citations

Generation and propagation of interfaces for reaction-diffusion equations

Xinfu Chen.

Journal of Differential Equations **(1992)**

433 Citations

Existence and Asymptotic Stability of Traveling Waves of Discrete Quasilinear Monostable Equations

Xinfu Chen;Jong-Shenq Guo.

Journal of Differential Equations **(2002)**

220 Citations

Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics

Xinfu Chen;Jong-Shenq Guo.

Mathematische Annalen **(2003)**

204 Citations

Convergence of the phase field model to its sharp interface limits

Gunduz Caginalp;Xinfu Chen.

European Journal of Applied Mathematics **(1998)**

199 Citations

Global asymptotic limit of solutions of the Cahn-Hilliard equation

Xinfu Chen.

Journal of Differential Geometry **(1996)**

182 Citations

Spectrum for the allen-chan, chan-hillard, and phase-field equations for generic interfaces

Xinfu Chen.

Communications in Partial Differential Equations **(1994)**

176 Citations

Traveling Waves of Bistable Dynamics on a Lattice

Peter W. Bates;Xinfu Chen;Adam J. J. Chmaj.

Siam Journal on Mathematical Analysis **(2003)**

169 Citations

The Hele-Shaw problem and area-preserving curve-shortening motions

Xinfu Chen.

Archive for Rational Mechanics and Analysis **(1993)**

166 Citations

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