Goong Chen

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All published works
Action Title Year Authors
+ A noncompact Schauder fixed point theorem in random normed modules and its applications 2024 Tiexin Guo
Yachao Wang
Hong–Kun Xu
George Xianzhi Yuan
Goong Chen
+ Inverse Problem of the Thermoelastic Plate System with a Curved Middle Surface and Memory Term 2024 Song-Ren Fu
Liangbiao Chen
Goong Chen
Peng‐Fei Yao
+ Animal Shapes, Modal Analysis, and Visualization of Motion (III): Giraffe, Duck, Goose, T-Rex Dinosaur, and the Flying Modes of Eagle 2023 Jing Yang
Goong Chen
Chunqiu Wei
Alexey Sergeev
Jingtong Huang
Matthew M. Scully
Steven G. Krantz
Peng‐Fei Yao
Tiexin Guo
Jun‐Min Wang
+ Asymptotic Expansions of a Penalty Method for Computing a Regulator Problem Governed by Volterra Equations 2023 Goong Chen
Ronald Grimmer
+ PDF Chat A 3D OpenFOAM based finite volume solver for incompressible Oldroyd-B model with infinity relaxation time 2019 Jing Tian
Mingchao Cai
Zhendong Luo
Yuncheng You
Goong Chen
+ PDF Chat Light, the universe and everything – 12 Herculean tasks for quantum cowboys and black diamond skiers 2018 G. S. Agarwal
Roland E. Allen
Iva Bezděková
Robert W. Boyd
Goong Chen
Ronald Hanson
Dean L. Hawthorne
Philip Hemmer
Moochan B. Kim
Оlga Kocharovskaya
+ Chaotic Vibration of a Two-dimensional Non-strictly Hyperbolic Equation 2018 Liangliang Li
Jing Tian
Goong Chen
+ Boundary controllability of structural acoustic systems with variable coefficients and curved walls 2018 Fengyan Yang
Peng‐Fei Yao
Goong Chen
+ A stochastic model for thermal transport of nanofluid in porous media: Derivation and applications 2017 Mingyang Pan
Liancun Zheng
Chunyan Liu
Fawang Liu
Ping Lin
Goong Chen
+ The virial theorem and ground state energy estimates of nonlinear Schrödinger equations in $$\mathbb {R}^2$$ R 2 with square root and saturable nonlinearities in nonlinear optics 2017 Tai‐Chia Lin
Milivoj R. Belić
Milan S. Petrović
Hichem Hajaiej
Goong Chen
+ PDF Chat Fractal aggregation kinetics contributions to thermal conductivity of nano-suspensions in unsteady thermal convection 2016 Jize Sui
Peng Zhao
Bandar Bin-Mohsin
Liancun Zheng
Xinxin Zhang
Zhengdong Cheng
Ying Chen
Goong Chen
+ Heat transfer analysis for a free boundary problem arising in n-diffusion equation 2016 UlrichOlivier Dangui-Mbani
Jize Sui
Chunying Ming
Liancun Zheng
Goong Chen
+ Publisher's Note regarding “Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous quasilinear hyperbolic system” [J. Math. Anal. Appl. 325 (2007) 205–225] 2016 Simone MunaĂČ
Richard M. Aron
Goong Chen
Steven G. Krantz
+ The virial theorem and ground state energy estimate of nonlinear Schrödinger equations in $\mathbb{R}^2$ with square root and saturable nonlinearities in nonlinear optics 2016 Tai-Chia Lin
Milivoj R. Belić
Milan S. Petrović
Hichem Hajaiej
Goong Chen
+ Exact Controllability of Structural Acoustic Interactions with Variable Coefficients 2016 Yuxiang Liu
Bandar Bin‐Mohsin
Hichem Hajaiej
Peng‐Fei Yao
Goong Chen
+ BOUNDARY ELEMENT MONOTONE ITERATION SCHEME 2016 For Semilinear Elliptic
Goong Chen
Yuanhua Deng
Wei‐Ming Ni
Jianxin Zhou
+ Flow and heat transfer of a generalized Maxwell fluid with modified fractional Fourier's law and Darcy's law 2015 Chunrui Li
Liancun Zheng
Xinxin Zhang
Goong Chen
+ Chaotic Oscillations of Second Order Linear Hyperbolic Equations with Nonlinear Boundary Conditions: A Factorizable but Noncommutative Case 2015 Liangliang Li
Yu Huang
Goong Chen
Tingwen Huang
+ Marangoni abnormal convection heat transfer of power-law fluid driven by temperature gradient in porous medium with heat generation 2015 Chengru Jiao
Liancun Zheng
Yanhai Lin
Lianxi Ma
Goong Chen
+ Control and stabilization for the wave equation with variable coefficients in domains with moving boundary 2015 Liqing Lu
Shengjia Li
Goong Chen
Peng‐Fei Yao
+ Chaotic Oscillations of Solutions of First Order Hyperbolic Systems in 1D with Nonlinear Boundary Conditions 2014 Xiongping Dai
Tingwen Huang
Yu Huang
Goong Chen
+ Ground states of nonlinear Schrödinger systems with saturable nonlinearity in $\mathbb {R}^2$R2 for two counterpropagating beams 2014 Tai‐Chia Lin
Milivoj R. Belić
Milan S. Petrović
Goong Chen
+ Spectral analysis and generation of certain highly oscillatory curves related to chaos, part 2: Calculation aspects 2013 Goong Chen
Tingwen Huang
Maria Christina Mariani
Roza Espandeary
Rym Kanes
M. Ziyan Sheriff
Srikanth Srinivasan
+ SPECTRA OF UNITARY INTEGRAL OPERATORS ON <i>L</i><sup>2</sup> (ℝ) WITH KERNELS <i>k</i>(<i>xy</i>) 2013 Daowei Ma
Goong Chen
+ Accessible spatiotemporal parabolic-cylinder solitons 2013 Wei‐Ping Zhong
Milivoj R. Belić
Boris A. Malomed
Tingwen Huang
Goong Chen
+ Complex form of the Hardy-Titchmarsh-Watson characterization of Fourier kernels and some of its consequences 2013 Goong Chen
Daowei Ma
+ Ground state of nonlinear Schrodinger systems with saturable nonlinearity 2012 Tai‐Chia Lin
Milivoj R. Belić
Milan S. Petrović
Goong Chen
+ Spectral analysis and generation of certain highly oscillatory curves related to chaos 2011 Goong Chen
Maria Christina Mariani
Indranil SenGupta
Nicholas Mai
+ Concentration Problems for Bandpass Filters in Communication Theory over Disjoint Frequency Intervals and Numerical Solutions 2011 Indranil SenGupta
Bo Sun
Weisheng Jiang
Goong Chen
Maria C. Mariani
+ PDF Chat Chaotic Maps: Dynamics, Fractals, and Rapid Fluctuations 2011 Goong Chen
Yu Huang
+ THE SPECTRUM OF CHAOTIC TIME SERIES (I): FOURIER ANALYSIS 2011 Goong Chen
Sze‐Bi Hsu
Yu Huang
MARCO A. ROQUE-SOL
+ PDF Chat THE SPECTRUM OF CHAOTIC TIME SERIES (II): WAVELET ANALYSIS 2011 Goong Chen
Sze‐Bi Hsu
Yu Huang
MARCO A. ROQUE-SOL
+ Total Variations of Iterates of Maps 2011 Goong Chen
Huang Yu
+ Bifurcation Theorems for Maps 2011 Goong Chen
Yu Huang
+ Infinite-dimensional Systems Induced by Continuous-Time Difference Equations 2011 Goong Chen
Yu Huang
+ Simple Interval Maps and Their Iterations 2011 Goong Chen
Yu Huang
+ Ordering among Periods: The Sharkovski Theorem 2011 Goong Chen
Yu Huang
+ Symbolic Dynamics, Conjugacy and Shift Invariant Sets 2011 Goong Chen
Yu Huang
+ Rapid Fluctuations of Chaotic Maps on ℝN 2011 Goong Chen
Yu Huang
+ A reaction–diffusion equation and its traveling wave solutions 2010 Zhaosheng Feng
Goong Chen
Qingguo Meng
+ The Potential Equation 2010 Goong Chen
Goong Chen
Jianxin Zhou
+ The Thin Plate Equation 2010 Goong Chen
Goong Chen
Jianxin Zhou
+ Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (I): The Monotone Iteration Scheme and Error Estimates 2010 Goong Chen
Goong Chen
Jianxin Zhou
+ Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (II): Algorithms and Computations for Unstable Solutions from Various Models 2010 Goong Chen
Goong Chen
J. Zhou
+ David L. Russell and a survey of his mathematical work 2010 Goong Chen
+ PDF Chat Foreword 2010 Goong Chen
Peng‐Fei Yao
Jiongmin Yong
Bing‐Yu Zhang
Xu Zhang
+ Theory of Distributions 2010 Goong Chen
Goong Chen
Jianxin Zhou
+ Traveling wave solutions in parametric forms for a diffusion model with a nonlinear rate of growth 2009 Zhaosheng Feng
Goong Chen
+ Retraction of “On the composition of the distributions <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi>λ</mml:mi></mml:msubsup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msubsup><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi>ÎŒ</mml:mi></mml:msubsup></mml:math>” [J. Math. Anal. Appl. 318 (2006) 102–111] 2007 Steven G. Krantz
Richard M. Aron
Goong Chen
+ Pointwise stabilization for coupled quasilinear and linear wave equations 2006 Goong Chen
Han‐Kun Wang
+ PDF Chat A qualitative study of the damped duffing equation and applications 2006 Zhaosheng Feng
Goong Chen
Sze‐Bi Hsu
+ Rapid fluctuations of chaotic maps on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>N</mml:mi></mml:msup></mml:math> 2005 Yu Huang
Goong Chen
Daowei Ma
+ On positive solutions of the elliptic sine-Gordon equation 2005 Goong Chen
Zhonghai Ding
Shujie Li
+ The two electron molecular bond revisited: from Bohr orbits to two-center orbitals 2005 Goong Chen
Siu A. Chin
Yusheng Dou
Kishore T. Kapale
Moochan Kim
Anatoly A. Svidzinsky
Kerim Urtekin
Han Xiong
Marlan O. Scully
+ CHAOTIC BEHAVIOR OF INTERVAL MAPS AND TOTAL VARIATIONS OF ITERATES 2004 Goong Chen
Tingwen Huang
Yu Huang
+ PDF Chat A note on the elliptic sine-Gordon equation 2004 Goong Chen
Zhonghai Ding
Chia-Ren Hu
Wei‐Ming Ni
Jianxin Zhou
+ PDF Chat Semilinear elliptic boundary value problems with nonlinear oblique boundary conditions, a boundary element monotone iteration approach 2004 Goong Chen
Yuanhua Deng
Wei‐Ming Ni
Jianxin Zhou
+ PDF Chat Convergence analysis of an optimal scaling algorithm for semilinear elliptic boundary value problems 2004 Goong Chen
Berthold Georg Englert
Jianxin Zhou
+ Differentiability of the semigroup associated with a structural damping model 2003 Falun Huang
Kangsheng Liu
Goong Chen
+ The universality of the quantum Fourier transform in forming the basis of quantum computing algorithms 2002 Charles M. Bowden
Goong Chen
Zijian Diao
Andreas Klappenecker
+ NONISOTROPIC SPATIOTEMPORAL CHAOTIC VIBRATION OF THE WAVE EQUATION DUE TO MIXING ENERGY TRANSPORT AND A VAN DER POL BOUNDARY CONDITION 2002 Goong Chen
Sze‐Bi Hsu
Jianxin Zhou
+ PDF Chat Quantum Multi-object Search Algorithm with the Availability of Partial Information 2001 Goong Chen
Zijian Diao
+ ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS, PART II: DIRICHLET, NEUMANN AND ROBIN BOUNDARY CONDITIONS AND PROBLEMS IN 3D 2001 Goong Chen
Wei‐Ming Ni
Alain Perronnet
Jianxin Zhou
+ ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS 2000 Goong Chen
Jianxin Zhou
Wei‐Ming Ni
+ An Exponentially Fast Quantum Search Algorithm 2000 Goong Chen
Zijian Diao
+ The Universality of the Quantum Fourier Transform in Forming the Basis of Quantum Computing Algorithms 2000 Charles M. Bowden
Goong Chen
Zijian Diao
Andreas Klappenecker
+ Generalization of Grover's Algorithm to Multiobject Search in Quantum Computing, Part II: General Unitary Transformations 2000 Goong Chen
Shunhua Sun
+ Generalization of Grover's Algorithm to Multiobject Search in Quantum Computing, Part I: Continuous Time and Discrete Time 2000 Goong Chen
S. A. Fulling
Jeesen Chen
+ A high-linking algorithm for sign-changing solutions of semilinear elliptic equations 1999 Zhonghai Ding
David G. Costa
Goong Chen
+ Vibration and Damping In Distributed Systems 1999 Goong Chen
Jianxin Zhou
+ Chaotic Vibrations of the One-Dimensional Wave Equation due to a Self-Excitation Boundary Condition. 1998 Goong Chen
Sze‐Bi Hsu
Jianxin Zhou
+ PDF Chat Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. Part I: Controlled hysteresis 1998 Goong Chen
Sze‐Bi Hsu
Jianxin Zhou
Guanrong Chen
G Crosta
+ Linear Stochastic Control Systems 1995 G. Chen
Goong Chen
Shih‐Hsun Hsu
+ The Wave Method for Determining the Asymptotic Damping Rates of Eigenmodes I: The Wave Equation on a Rectangular or Circular Domain 1991 Jianxin Zhou
Goong Chen
+ PDF Chat Asymptotic Locations of Eigenfrequencies of Euler–Bernoulli Beam with Nonhomogeneous Structural and Viscous Damping Coefficients 1991 Hankun Wang
Goong Chen
+ The boundary element method for shape control of distributed parameter elastostatic systems 1990 Goong Chen
Jianxin Zhou
+ Computations of Optimal Controls and Designs for Distributed Systems in Optics and Elasticity 1989 Goong Chen
Jianxin Zhou
+ Diagonal convexity conditions for problems in convex analysis and quasi-variational inequalities 1988 Jian Zhou
Goong Chen
+ Pointwise Stabilization for Coupled Quasilinear and Linear Wave Equations. 1988 Goong Chen
Han‐Kun Wang
+ A Boundary element method based on cauchy integrals for some linear quadratic boundary control problems on a circle 1988 Goong Chen
Chiang‐Pu Chen
Irina Aronov
+ The Boundary Element Numerical Method for Two-Dimensional Linear Quadratic Elliptic Problems: (I) Neumann Control 1987 Goong Chen
Ying-Liang Tsai
+ Pointwise Stabilization in the Middle of the Span for Second Order Systems, Nonuniform and Uniform Exponential Decay of Solutions 1987 Goong Chen
Matthew P. Coleman
Harry West
+ PDF Chat The boundary element numerical method for two-dimensional linear quadratic elliptic problems. I. Neumann control 1987 Goong Chen
Ying-Liang Tsai
+ Well-posedness, control and computation of a one-phase Stefan problem with Neumann condition* 1984 Goong Chen
Shunhua Sun
Quan Zheng
+ PDF Chat Sharp error estimates for a finite element-penalty approach to a class of regulator problems 1983 Goong Chen
Wendell H. Mills
Shun Hua Sun
David A. Yost
+ PDF Chat Sharp Error Estimates for a Finite Element-Penalty Approach to a Class of Regulator Problems 1983 Goong Chen
Wendell H. Mills
Shunhua Sun
David A. Yost
+ Integral equations as evolution equations 1982 Goong Chen
Ronald Grimmer
+ PDF Chat Exact Controllability Theorems and Numerical Simulations for Some Nonlinear Differential Equations 1981 Goong Chen
Wendell H. Mills
G Crosta
+ Finite Elements and Terminal Penalization for Quadratic Cost Optimal Control Problems Governed by Ordinary Differential Equations 1981 Goong Chen
Wendell H. Mills
+ Control and Stabilization for the Wave Equation, Part III: Domain with Moving Boundary 1981 Claude Bardos
Goong Chen
+ Control and Stabilization for the Wave Equation in a Bounded Domain, Part II 1981 Goong Chen
+ Well-posedness and approximations of linear volterra integrodifferential equations in banach spaces 1979 Goong Chen
Ronald Grimmer
+ Control and Stabilization for the Wave Equation in a Bounded Domain 1979 Goong Chen
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. Part I: Controlled hysteresis 1998 Goong Chen
Sze‐Bi Hsu
Jianxin Zhou
Guanrong Chen
G Crosta
8
+ CHAOTIC BEHAVIOR OF INTERVAL MAPS AND TOTAL VARIATIONS OF ITERATES 2004 Goong Chen
Tingwen Huang
Yu Huang
7
+ The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations 1972 Abdul Kadir Aziz
7
+ PDF Chat Dynamics in One Dimension 1992 Louis Block
William Andrew Coppel
6
+ PDF Chat <i>An Introduction to Chaotic Dynamical Systems</i> 1987 Robert L. Devaney
Jean-Pierre Eckmann
5
+ Rapid fluctuations of chaotic maps on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>N</mml:mi></mml:msup></mml:math> 2005 Yu Huang
Goong Chen
Daowei Ma
5
+ PDF Chat An introduction to chaotic dynamical systems 1990 5
+ GROWTH RATES OF TOTAL VARIATIONS OF SNAPSHOTS OF THE 1D LINEAR WAVE EQUATION WITH COMPOSITE NONLINEAR BOUNDARY REFLECTION RELATIONS 2003 Yu Huang
5
+ Semigroups of Linear Operators and Applications to Partial Differential Equations 1983 A. Pazy
5
+ RAPID FLUCTUATIONS OF SNAPSHOTS OF ONE-DIMENSIONAL LINEAR WAVE EQUATION WITH A VAN DER POL NONLINEAR BOUNDARY CONDITION 2005 Yu Huang
Jun Luo
Zuoling Zhou
5
+ Optimal Control of Systems Governed by Partial Differential Equations 1971 J. L. Lions
5
+ BOUNDARY FEEDBACK ANTICONTROL OF SPATIOTEMPORAL CHAOS FOR 1D HYPERBOLIC DYNAMICAL SYSTEMS 2004 Yu Huang
4
+ Dynamical Systems: Stability, Symbolic Dynamics, and Chaos 1994 Clark Robinson
4
+ On Devaney's Definition of Chaos 1992 John Banks
James K. Brooks
Grant Cairns
Gary Davis
P. J. Stacey
4
+ A new characterization of nonisotropic chaotic vibrations of the one-dimensional linear wave equation with a van der Pol boundary condition 2003 Yu Huang
4
+ Chaotic Vibrations of the One-Dimensional Wave Equation due to a Self-Excitation Boundary Condition. 1998 Goong Chen
Sze‐Bi Hsu
Jianxin Zhou
4
+ THE SPECTRUM OF CHAOTIC TIME SERIES (I): FOURIER ANALYSIS 2011 Goong Chen
Sze‐Bi Hsu
Yu Huang
MARCO A. ROQUE-SOL
3
+ PDF Chat Chaotic Maps: Dynamics, Fractals, and Rapid Fluctuations 2011 Goong Chen
Yu Huang
3
+ A mountain pass method for the numerical solution of semilinear elliptic problems 1993 Y. S. Choi
Patrick McKenna
3
+ SymĂ©trie et compacitĂ© dans les espaces de Sobolev 1982 Pierre‐Louis Lions
3
+ The energy method in nonlinear partial differential equations 1969 Walter A. Strauss
3
+ PDF Chat Partial Differential Equations 1988 Shiing-Shen Chern
3
+ PDF Chat Entropy of piecewise monotone mappings 1980 MichaƂ Misiurewicz
W. Szlenk
3
+ Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping 1977 John Paul Quinn
David L. Russell
3
+ PDF Chat Boundary Controllability for the Quasilinear Wave Equation 2009 Peng‐Fei Yao
3
+ Orbital stability of standing waves for some nonlinear Schrïżœdinger equations 1982 Thierry Cazenave
Pierre‐Louis Lions
3
+ Decay of solutions of wave equations in a bounded region with boundary dissipation 1983 John E. Lagnese
3
+ On Bowen's definition of topological entropy 2004 MichaƂ Misiurewicz
3
+ Control and Stabilization for the Wave Equation in a Bounded Domain 1979 Goong Chen
3
+ On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients 1999 Peng‐Fei Yao
3
+ PDF Chat Entropy for group endomorphisms and homogeneous spaces 1971 Rufus Bowen
3
+ PDF Chat Homoclinic points of mappings of the interval 1978 Louis Block
3
+ NONISOTROPIC SPATIOTEMPORAL CHAOTIC VIBRATION OF THE WAVE EQUATION DUE TO MIXING ENERGY TRANSPORT AND A VAN DER POL BOUNDARY CONDITION 2002 Goong Chen
Sze‐Bi Hsu
Jianxin Zhou
3
+ PDF Chat None 1975 Andrew J. Majda
3
+ Nonisotropic spatiotemporal chaotic vibrations of the one-dimensional wave equation with a mixing transport term and general nonlinear boundary condition 2010 Liangliang Li
Yuanlong Chen
Yu Huang
3
+ PDF Chat Counterpropagating optical beams and solitons 2010 Milan S. Petrović
Milivoj R. Belić
Cornelia Denz
Yu. S. Kivshar
3
+ Multidimensional nonlinear diffusion arising in population genetics 1978 D. G. Aronson
Hans F. Weinberger
2
+ Observability inequalities for thin shells 2003 Shugen Chai
Peng‐Fei Yao
2
+ Modulational Stability of Ground States of Nonlinear Schrödinger Equations 1985 Michael I. Weinstein
2
+ Nonlinear Parabolic and Elliptic Equations 1993 C. V. Pao
2
+ Numerical methods for fractional partial differential equations with Riesz space fractional derivatives 2009 Qianqian Yang
Feng Liu
Ian Turner
2
+ PDF Chat Chaotic behavior in piecewise continuous difference equations 1980 James P. Keener
2
+ Control and Stabilization for the Wave Equation, Part III: Domain with Moving Boundary 1981 Claude Bardos
Goong Chen
2
+ Fourier series : a modern introduction 1982 R. E. Edwards
2
+ Analytic solutions of carrier flow equations via the Painleve analysis approach 1989 Zhi xiong Chen
Ben-Yu Guo
2
+ Weakly coupled nonlinear Schrödinger systems: the saturation effect 2012 Liliane A. Maia
Eugenio Montefusco
Benedetta Pellacci
2
+ Locating the peaks of least-energy solutions to a semilinear Neumann problem 1993 Wei-Ming Ni
Izumi Takagi
2
+ PDF Chat Differential riccati equation for the active control of a problem in structural acoustics 1996 George Avalos
Irena Lasiecka
2
+ Explicit solutions of Fisher's equation for a special wave speed 1979 Mark J. Ablowitz
Anthony Zeppetella
2
+ Rapid fluctuation for topological dynamical systems 2009 Yu Huang
Yi Zhou
2