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 52 Citations 8,525 211 World Ranking 704 National Ranking 52

Research.com Recognitions

Awards & Achievements

2017 - Fellow of the American Mathematical Society For contributions to partial differential equations, nonlinear analysis, fluid mechanics, hyperbolic conservation laws, and shock wave theory.

2012 - SIAM Fellow For contributions to the mathematical analysis of partial differential equations, fluid mechanics, hyperbolic systems of conservation laws, and shock waves.

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Geometry

Gui-Qiang Chen focuses on Mathematical analysis, Euler equations, Nonlinear system, Conservation law and Hyperbolic partial differential equation. As part of his studies on Mathematical analysis, Gui-Qiang Chen often connects relevant subjects like Entropy. The study incorporates disciplines such as Singularity, Riemann problem and Compressible flow in addition to Euler equations.

In his research, Potential flow, Bernoulli's principle, Transonic and Boundary is intimately related to Velocity potential, which falls under the overarching field of Compressible flow. His Nonlinear system study combines topics from a wide range of disciplines, such as Viscosity coefficient, Shock wave, Continuous-time stochastic process and Equicontinuity. Gui-Qiang Chen combines subjects such as Relaxation system, Converse, Inviscid flow and Dissipative system with his study of Conservation law.

His most cited work include:

  • Hyperbolic conservation laws with stiff relaxation terms and entropy (557 citations)
  • Divergence‐Measure Fields and Hyperbolic Conservation Laws (225 citations)
  • Formation of δ-shocks and vacuum states in the vanishing pressure limit of solutions to the euler equations for isentropic fluids (223 citations)

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

His primary areas of study are Mathematical analysis, Euler equations, Nonlinear system, Conservation law and Free boundary problem. His Mathematical analysis research integrates issues from Compressible flow and Transonic. The concepts of his Euler equations study are interwoven with issues in Riemann problem, Bernoulli's principle, Supersonic speed and Euler's formula.

Within one scientific family, he focuses on topics pertaining to Shock under Nonlinear system, and may sometimes address concerns connected to Diffraction. Gui-Qiang Chen works mostly in the field of Conservation law, limiting it down to topics relating to Riemann hypothesis and, in certain cases, Arbitrarily large, as a part of the same area of interest. His Free boundary problem research incorporates elements of Vortex sheet, Shock wave and Domain.

He most often published in these fields:

  • Mathematical analysis (122.19%)
  • Euler equations (74.77%)
  • Nonlinear system (52.58%)

What were the highlights of his more recent work (between 2015-2021)?

  • Mathematical analysis (122.19%)
  • Euler equations (74.77%)
  • Nonlinear system (52.58%)

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

His main research concerns Mathematical analysis, Euler equations, Nonlinear system, Transonic and Potential flow. Gui-Qiang Chen has researched Mathematical analysis in several fields, including Compressible flow and Compressibility. His biological study spans a wide range of topics, including Compact space, Shock wave, Geometry, Bernoulli's principle and Entropy.

His work deals with themes such as Degenerate energy levels, Partial differential equation and Applied mathematics, which intersect with Nonlinear system. His Transonic research is multidisciplinary, incorporating elements of Fixed point, Hodograph, Uniqueness and Free boundary problem. His Potential flow research includes themes of Supersonic speed, Wedge and Diffraction.

Between 2015 and 2021, his most popular works were:

  • Subsonic-Sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations (47 citations)
  • Subsonic-Sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations (47 citations)
  • Subsonic-Sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations (47 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

Gui-Qiang Chen mainly investigates Mathematical analysis, Euler equations, Compressible flow, Euler's formula and Vorticity. Gui-Qiang Chen studies Uniqueness which is a part of Mathematical analysis. His Euler equations research is multidisciplinary, incorporating perspectives in Transonic, Bernoulli's principle, Free boundary problem, Incompressible flow and Calculus.

In his work, Dirichlet boundary condition, Nozzle, Compressibility and Adiabatic process is strongly intertwined with Compact space, which is a subfield of Compressible flow. The various areas that Gui-Qiang Chen examines in his Euler's formula study include Homentropic flow, Continuity equation and Limit. The Nonlinear system study combines topics in areas such as Mathematical proof, Von Neumann architecture, Applied mathematics, Shock and Supersonic speed.

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

Hyperbolic conservation laws with stiff relaxation terms and entropy

Gui-Qiang Chen;C. David Levermore;Tai-Ping Liu.
Communications on Pure and Applied Mathematics (1994)

850 Citations

Hyperbolic conservation laws with stiff relaxation terms and entropy

Gui-Qiang Chen;C. David Levermore;Tai-Ping Liu.
Communications on Pure and Applied Mathematics (1994)

850 Citations

Formation of δ-shocks and vacuum states in the vanishing pressure limit of solutions to the euler equations for isentropic fluids

Gui-Qiang G. Chen;Hailiang Liu.
Siam Journal on Mathematical Analysis (2003)

341 Citations

Formation of δ-shocks and vacuum states in the vanishing pressure limit of solutions to the euler equations for isentropic fluids

Gui-Qiang G. Chen;Hailiang Liu.
Siam Journal on Mathematical Analysis (2003)

341 Citations

Divergence‐Measure Fields and Hyperbolic Conservation Laws

Gui-Qiang Chen;Hermano Frid.
Archive for Rational Mechanics and Analysis (1999)

336 Citations

Divergence‐Measure Fields and Hyperbolic Conservation Laws

Gui-Qiang Chen;Hermano Frid.
Archive for Rational Mechanics and Analysis (1999)

336 Citations

CONVERGENCE OF THE LAX–FRIEDRICHS SCHEME FOR ISENTROPIC GAS DYNAMICS (III)

Xiaxi Ding;Guiqiang Chen;Peizhu Luo.
Acta Mathematica Scientia (1985)

267 Citations

CONVERGENCE OF THE LAX–FRIEDRICHS SCHEME FOR ISENTROPIC GAS DYNAMICS (III)

Xiaxi Ding;Guiqiang Chen;Peizhu Luo.
Acta Mathematica Scientia (1985)

267 Citations

Global Solutions of Nonlinear Magnetohydrodynamics with Large Initial Data

Gui-Qiang Chen;Gui-Qiang Chen;Dehua Wang;Dehua Wang.
Journal of Differential Equations (2002)

210 Citations

Global Solutions of Nonlinear Magnetohydrodynamics with Large Initial Data

Gui-Qiang Chen;Gui-Qiang Chen;Dehua Wang;Dehua Wang.
Journal of Differential Equations (2002)

210 Citations

Editorial Boards

Acta Mathematica Scientia
(Impact Factor: 1.085)

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