D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 32 Citations 4,619 85 World Ranking 2400 National Ranking 1018

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Partial differential equation

His primary areas of study are Mathematical analysis, Pure mathematics, Attractor, Invariant and Dynamical systems theory. He studied Mathematical analysis and Invariant measure that intersect with Manifold. His research integrates issues of Stochastic partial differential equation and Ordinary differential equation in his study of Pure mathematics.

His Stochastic partial differential equation research incorporates elements of Lipschitz continuity, Random dynamical systems and Invariant. The Attractor study combines topics in areas such as Dissipative system and Differential equation. Kening Lu focuses mostly in the field of Invariant, narrowing it down to matters related to Banach space and, in some cases, Inertial manifold, Lyapunov exponent and Ergodic theory.

His most cited work include:

  • Random attractors for stochastic reaction–diffusion equations on unbounded domains (245 citations)
  • Invariant manifolds for stochastic partial differential equations (213 citations)
  • ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS (206 citations)

What are the main themes of his work throughout his whole career to date?

Kening Lu spends much of his time researching Mathematical analysis, Pure mathematics, Attractor, Invariant and Stochastic partial differential equation. In his papers, Kening Lu integrates diverse fields, such as Mathematical analysis and Multiplicative noise. Kening Lu has researched Pure mathematics in several fields, including Random dynamical systems and Invariant.

The various areas that Kening Lu examines in his Attractor study include Dynamical systems theory, Compact space, Klein–Gordon equation and Schrödinger equation. His biological study spans a wide range of topics, including Fractional calculus, Applied mathematics and Ordinary differential equation. He combines subjects such as Partial differential equation and Lipschitz continuity with his study of Nonlinear system.

He most often published in these fields:

  • Mathematical analysis (80.85%)
  • Pure mathematics (30.85%)
  • Attractor (35.11%)

What were the highlights of his more recent work (between 2016-2021)?

  • Mathematical analysis (80.85%)
  • Attractor (35.11%)
  • Pure mathematics (30.85%)

In recent papers he was focusing on the following fields of study:

Kening Lu focuses on Mathematical analysis, Attractor, Pure mathematics, Stationary process and Multiplicative noise. His research on Mathematical analysis focuses in particular on Stochastic differential equation. His Attractor research is multidisciplinary, relying on both Uniqueness and Pullback.

In his study, which falls under the umbrella issue of Pure mathematics, Phase is strongly linked to Class. The Stationary process study which covers Approximations of π that intersects with Stochastic evolution and Almost surely. His Banach space study also includes fields such as

  • Measure that connect with fields like Dynamical systems theory,
  • Nonlinear system, which have a strong connection to Differential equation.

Between 2016 and 2021, his most popular works were:

  • Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains (35 citations)
  • Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains (24 citations)
  • Wong–Zakai Approximations and Long Term Behavior of Stochastic Partial Differential Equations (22 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Partial differential equation

His primary scientific interests are in Attractor, Uniqueness, Pullback attractor, Convergence and Multiplicative noise. Kening Lu frequently studies issues relating to Pullback and Attractor. His Pullback research entails a greater understanding of Pure mathematics.

His Pullback attractor study incorporates themes from Zero and Reaction–diffusion system. His study of Convergence brings together topics like Applied mathematics, Stochastic partial differential equation, Navier–Stokes equations, Lipschitz continuity and Term. His Multiplicative noise research incorporates elements of Stationary process, Approximations of π and Mathematical analysis.

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.

Best Publications

Random attractors for stochastic reaction–diffusion equations on unbounded domains

Peter W. Bates;Kening Lu;Bixiang Wang.
Journal of Differential Equations (2009)

370 Citations

Invariant manifolds for flows in Banach spaces

Shui-Nee Chow;Kening Lu.
Journal of Differential Equations (1988)

321 Citations

ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS

Peter W. Bates;Hannelore Lisei;Kening Lu.
Stochastics and Dynamics (2006)

304 Citations

Invariant manifolds for stochastic partial differential equations

Jinqiao Duan;Kening Lu;Björn Schmalfuss.
Annals of Probability (2003)

283 Citations

ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS

Peter W. Bates;Kening Lu;Bixiang Wang.
International Journal of Bifurcation and Chaos (2001)

265 Citations

Existence and Persistence of Invariant Manifolds for Semiflows in Banach Space

Peter W. Bates;Kening Lu;Chongchun Zeng.
(1998)

187 Citations

Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity

Kening Lu;Xing-Bin Pan.
Physica D: Nonlinear Phenomena (1999)

156 Citations

Smooth Stable and Unstable Manifolds for Stochastic Evolutionary Equations

Jinqiao Duan;Kening Lu;Kening Lu;Björn Schmalfuss.
Journal of Dynamics and Differential Equations (2004)

149 Citations

Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space

Zeng Lian;Kening Lu.
(2010)

148 Citations

Smooth Invariant Foliations in Infinite Dimensional Spaces

Shui-Nee Chow;Xiao-Biao Lin;Kening Lu.
Journal of Differential Equations (1991)

145 Citations

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