Yuan Gao

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All published works

Action	Title	Year	Authors
+ PDF Chat	Carleman estimates for higher order partial differential operators and its applications	2024	Xiaoyu Fu Yuan Gao
+ PDF Chat	Existence and uniqueness of solutions to the Peierls–Nabarro model in anisotropic media	2024	Yuan Gao James M. Scott
+ PDF Chat	Master equations for finite state mean field games with nonlinear activations	2023	Yuan Gao Jianguo Liu Wuchen Li
+ PDF Chat	Structure Preserving Schemes for Fokker–Planck Equations of Irreversible Processes	2023	Chen Liu Yuan Gao Xiangxiong Zhang
+ PDF Chat	A Selection Principle for Weak KAM Solutions via Freidlin–Wentzell Large Deviation Principle of Invariant Measures	2023	Yuan Gao Jian‐Guo Liu
+ PDF Chat	Large Deviation Principle and Thermodynamic Limit of Chemical Master Equation via Nonlinear Semigroup	2023	Yuan Gao Jian‐Guo Liu
+ PDF Chat	Asymptotic Stability for Diffusion with Dynamic Boundary Reaction from Ginzburg–Landau Energy	2023	Yuan Gao Jean‐Michel Roquejoffre
+ PDF Chat	Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver	2023	Yuan Gao Tiejun Li Xiaoguang Li Jian‐Guo Liu
+	Double-tower Solutions for Higher Order Prescribed Curvature Problem	2023	Yuan Gao Yuxia Guo Yichen Hu
+	Multiple positive solutions for a logarithmic Kirchhoff type problem in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si9.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2022	Yuan Gao Yongsheng Jiang Lishan Liu Na Wei
+ PDF Chat	Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	2022	Yuan Gao Jian‐Guo Liu Nan Wu
+ PDF Chat	Revisit of Macroscopic Dynamics for Some Non-equilibrium Chemical Reactions from a Hamiltonian Viewpoint	2022	Yuan Gao Jian‐Guo Liu
+ PDF Chat	Projection Method for Droplet Dynamics on Groove-Textured Surface with Merging and Splitting	2022	Yuan Gao Jian‐Guo Liu
+ PDF Chat	Analysis of a fourth-order exponential PDE arising from a crystal surface jump process with Metropolis-type transition rates	2021	Yuan Gao Anya Katsevich Jian‐Guo Liu Jianfeng Lu Jeremy L. Marzuola
+	Multiple solutions for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si4.svg"><mml:mi>N</mml:mi></mml:math>-Kirchhoff type problem in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e27" altimg="si5.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>	2021	Yuan Gao Lishan Liu
+ PDF Chat	The Speed of Convergence of the Threshold Estimator of Ruin Probability under the Tempered α-Stable Lévy Subordinator	2021	Yuan Gao Honglong You
+ PDF Chat	Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: Derivations and computations	2021	Yuan Gao Jian‐Guo Liu
+ PDF Chat	Existence and rigidity of the vectorial Peierls–Nabarro model for dislocations in high dimensions	2021	Yuan Gao Jian‐Guo Liu Zibu Liu
+	Revisit of macroscopic dynamics for chemical reactions from a Hamiltonian viewpoint	2021	Yuan Gao Jian‐Guo Liu
+	Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface	2021	Yuan Gao Jianguo Liu
+ PDF Chat	Regularity and monotonicity for solutions to a continuum model of epitaxial growth with nonlocal elastic effects	2021	Yuan Gao Xin Lü Chong Wang
+ PDF Chat	Existence and uniqueness of bounded stable solutions to the Peierls–Nabarro model for curved dislocations	2021	Hongjie Dong Yuan Gao
+ PDF Chat	A Kirchhoff-type problem involving concave-convex nonlinearities	2021	Yuan Gao Lishan Liu Shixia Luan Yonghong Wu
+	Surfactant-dependent contact line dynamics and droplet adhesion on textured substrates: derivations and computations	2021	Yuan Gao Jian‐Guo Liu
+ PDF Chat	Inbetweening auto-animation via Fokker-Planck dynamics and thresholding	2021	Yuan Gao Guangzhen Jin Jian-Guo Liu
+	Random walk approximation for irreversible drift-diffusion process on manifold: ergodicity, unconditional stability and convergence	2021	Yuan Gao Jian‐Guo Liu
+ PDF Chat	Revisit of the Peierls-Nabarro model for edge dislocations in Hilbert space	2020	Yuan Gao Jian‐Guo Liu Tao Luo Yang Xiang
+	Existence and rigidity of the Peierls-Nabarro model for dislocations in high dimensions	2020	Yuan Gao Jian‐Guo Liu Zibu Liu
+ PDF Chat	Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects	2020	Yuan Gao Jian‐Guo Liu Jianfeng Lu Jeremy L. Marzuola
+	Data-driven Efficient Solvers and Predictions of Conformational Transitions for Langevin Dynamics on Manifold in High Dimensions.	2020	Yuan Gao Jianguo Liu Nan Wu
+	Large time behavior, bi-Hamiltonian structure, and kinetic formulation for a complex Burgers equation	2020	Yu Gao Yuan Gao Jian‐Guo Liu
+	Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface	2020	Yuan Gao Jian‐Guo Liu
+	Existence and uniqueness of bounded stable solutions to the Peierls-Nabarro model for curved dislocations	2020	Hongjie Dong Yuan Gao
+	Regularity and monotonicity for solutions to a continuum model of epitaxial growth with nonlocal elastic effects	2020	Yuan Gao Xin Lü Chong Wang
+	Inbetweening auto-animation via Fokker-Planck dynamics and thresholding	2020	Yuan Gao Guangzhen Jin Jian-Guo Liu
+ PDF Chat	Long time behavior of dynamic solution to Peierls–Nabarro dislocation model	2020	Yuan Gao Jian‐Guo Liu
+	Transition path theory for Langevin dynamics on manifold: optimal control and data-driven solver	2020	Yuan Gao Tiejun Li Xiaoguang Li Jianguo Liu
+	A note on parametric Bayesian inference via gradient flows	2020	Yuan Gao Jian‐Guo Liu
+	Global strong solution with BV derivatives to singular solid-on-solid model with exponential nonlinearity	2019	Yuan Gao
+	Global Strong Solution With BV Derivatives to Singular Solid-on-Solid model With Exponential Nonlinearity	2019	Yuan Gao
+	Long time behavior of dynamic solution to Peierls--Nabarro dislocation model	2019	Yuan Gao Jian‐Guo Liu
+	Mathematical validation of the Peierls--Nabarro model for edge dislocations	2019	Yuan Gao Jianguo Liu Tao Luo Yang Xiang
+ PDF Chat	Gradient flow approach to an exponential thin film equation: global existence and latent singularity	2018	Yuan Gao Jian‐Guo Liu Xin Lü
+ PDF Chat	Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface	2018	Yuan Gao Jian‐Guo Liu Xin Lü Xiangsheng Xu
+	A New Method to Obtain Uniform Decay Rates for Multidimensional Wave Equations with Nonlinear Acoustic Boundary Conditions	2018	Yuan Gao Jin Liang Ti‐Jun Xiao
+	Large time behavior, bi-Hamiltonian structure and kinetic formulation for complex Burgers equation	2018	Yu Gao Yuan Gao Jian‐Guo Liu
+ PDF Chat	A vicinal surface model for epitaxial growth with logarithmic free energy	2018	Yuan Gao Hangjie Ji Jian‐Guo Liu Thomas P. Witelski
+	NDDR-CNN: Layerwise Feature Fusing in Multi-Task CNNs by Neural Discriminative Dimensionality Reduction	2018	Yuan Gao Jiayi Ma Mingbo Zhao Wei Liu L Yuille Alan
+	Observability inequality and decay rate for wave equations with nonlinear boundary conditions	2017	Yuan Gao Jin Liang Ti‐Jun Xiao
+	Maximal monotone operator in non-reflexive Banach space and the application to thin film equation in epitaxial growth on vicinal surface	2017	Yuan Gao Jian‐Guo Liu Xin Lü Xiangsheng Xu
+	Equal-Time and Equal-Space Poisson Brackets of the <i>N</i> -Component Coupled NLS Equation	2017	Ruguang Zhou Peiyao Li Yuan Gao
+ PDF Chat	Global existence of solutions to a tear film model with locally elevated evaporation rates	2017	Yuan Gao Hangjie Ji Jian‐Guo Liu Thomas P. Witelski
+	A vicinal surface model for epitaxial growth with logarithmic free energy	2017	Yuan Gao Hangjie Ji Jian‐Guo Liu Thomas P. Witelski
+	Gradient flow approach to an exponential thin film equation: global existence and latent singularity	2017	Yuan Gao Jian‐Guo Liu Xin Lü
+	Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface	2017	Yuan Gao Jian‐Guo Liu Xin Lu Xiangsheng Xu
+ PDF Chat	Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime	2017	Yuan Gao Jian‐Guo Liu Jianfeng Lu
+ PDF Chat	Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces	2016	Yuan Gao Jian‐Guo Liu Jianfeng Lu
+	Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime	2016	Yuan Gao Jianguo Liu Jianfeng Lu

Common Coauthors

Coauthor	Papers Together
Jian‐Guo Liu	31
Xin Lü	6
Jianfeng Lu	5
Hangjie Ji	3
Thomas P. Witelski	3
Lishan Liu	3
Xiangsheng Xu	3
Jeremy L. Marzuola	2
Ti‐Jun Xiao	2
Hongjie Dong	2
Yang Xiang	2
Jianguo Liu	2
Jin Liang	2
Yu Gao	2
Guangzhen Jin	2
Chong Wang	2
Jian-Guo Liu	2
Xiaoguang Li	2
Tiejun Li	2
Tao Luo	2
Nan Wu	2
Mingbo Zhao	1
Yonghong Wu	1
Yongsheng Jiang	1
Anya Katsevich	1
Zibu Liu	1
Xiaoyu Fu	1
James M. Scott	1
Chen Liu	1
Peiyao Li	1
Jianguo Liu	1
Jianguo Liu	1
Jean‐Michel Roquejoffre	1
Jianguo Liu	1
Shixia Luan	1
L Yuille Alan	1
Yuxia Guo	1
Xin Lu	1
Wei Liu	1
Jianguo Liu	1
Wuchen Li	1
Jiayi Ma	1
Zibu Liu	1
Ruguang Zhou	1
Honglong You	1
Yichen Hu	1
Na Wei	1
Xiangxiong Zhang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Regularity in Time for Weak Solutions of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces	2015	Irene Fonseca Giovanni Leoni Xin Lü	13
+	Gradient Flows: In Metric Spaces and in the Space of Probability Measures	2005	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	11
+ PDF Chat	Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces	2016	Yuan Gao Jian‐Guo Liu Jianfeng Lu	11
+ PDF Chat	Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime	2017	Yuan Gao Jian‐Guo Liu Jianfeng Lu	9
+	The evolution of a crystal surface: Analysis of a one-dimensional step train connecting two facets in the ADL regime	2011	Hala Al Hajj Shehadeh Robert V. Kohn Jonathan Weare	9
+ PDF Chat	Layer solutions in a half‐space for boundary reactions	2005	Xavier Cabré J. Solà‐Morales	8
+ PDF Chat	Local and global minimizers for a variational energy involving a fractional norm	2012	Giampiero Palatucci Ovidiu Savin Enrico Valdinoci	8
+ PDF Chat	A continuum description of the energetics and evolution of stepped surfaces in strained nanostructures	2002	Vivek B. Shenoy L. B. Freund	7
+	Existence Theorems for a Multidimensional Crystal Surface Model	2016	Jian‐Guo Liu Xiangsheng Xu	7
+	Higher order nonlinear degenerate parabolic equations	1990	Francisco Bernis Avner Friedman	7
+ PDF Chat	On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion	2014	Alexander Mielke Mark A. Peletier D. R. Michiel Renger	6
+ PDF Chat	Relaxation of a family of broken-bond crystal-surface models	2013	Jeremy L. Marzuola Jonathan Weare	6
+ PDF Chat	Existence Theorems for a Crystal Surface Model Involving the $p$-Laplace Operator	2018	Xiangsheng Xu	6
+	Nonlinear Differential Equations of Monotone Types in Banach Spaces	2009	Viorel Barbu	6
+ PDF Chat	Revisit of Macroscopic Dynamics for Some Non-equilibrium Chemical Reactions from a Hamiltonian Viewpoint	2022	Yuan Gao Jian‐Guo Liu	6
+	Scale-invariant extinction time estimates for some singular diffusion equations	2011	Yoshikazu Giga Robert V. Kohn	6
+ PDF Chat	Analytical Validation of a Continuum Model for the Evolution of a Crystal Surface in Multiple Space Dimensions	2017	Jian‐Guo Liu Xiangsheng Xu	6
+ PDF Chat	A variational approach to a quasi-static droplet model	2010	Natalie Grunewald Inwon C. Kim	5
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	5
+ PDF Chat	A variational approach to moving contact line hydrodynamics	2006	Tiezheng Qian Xiaoping Wang Ping Sheng	5
+ PDF Chat	Long time behavior of dynamic solution to Peierls–Nabarro dislocation model	2020	Yuan Gao Jian‐Guo Liu	5
+ PDF Chat	Rigidity of minimizers in nonlocal phase transitions	2018	Ovidiu Savin	5
+ PDF Chat	Gradient flow approach to an exponential thin film equation: global existence and latent singularity	2018	Yuan Gao Jian‐Guo Liu Xin Lü	5
+ PDF Chat	Relaxation times for atom dislocations in crystals	2016	Stefania Patrizi Enrico Valdinoci	5
+ PDF Chat	Slow motion of particle systems as a limit of a reaction-diffusion equation with half-Laplacian in dimension one	2011	Régis Monneau María del Mar González	5
+ PDF Chat	On stable solutions for boundary reactions: a De Giorgi-type result in dimension 4 + 1	2019	Alessio Figalli Joaquim Serra	5
+ PDF Chat	Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver	2023	Yuan Gao Tiejun Li Xiaoguang Li Jian‐Guo Liu	5
+	Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions	2014	Xavier Cabré Yannick Sire	5
+	Fokker–Planck Equations for a Free Energy Functional or Markov Process on a Graph	2011	Shui-Nee Chow Wen Huang Yao Li Haomin Zhou	4
+ PDF Chat	Dynamics for Systems of Screw Dislocations	2015	Timothy Blass Irene Fonseca Giovanni Leoni Marco Morandotti	4
+ PDF Chat	Strongly Nonlocal Dislocation Dynamics in Crystals	2014	Serena Dipierro Alessio Figalli Enrico Valdinoci	4
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	4
+	A note on parametric Bayesian inference via gradient flows	2020	Yuan Gao Jian‐Guo Liu	4
+	Data-driven Efficient Solvers and Predictions of Conformational Transitions for Langevin Dynamics on Manifold in High Dimensions.	2020	Yuan Gao Jianguo Liu Nan Wu	4
+ PDF Chat	Dislocation Dynamics in Crystals: A Macroscopic Theory in a Fractional Laplace Setting	2014	Serena Dipierro Giampiero Palatucci Enrico Valdinoci	4
+	Transition path theory for Langevin dynamics on manifold: optimal control and data-driven solver	2020	Yuan Gao Tiejun Li Xiaoguang Li Jianguo Liu	4
+ PDF Chat	Gibbs-Thomson formula for small island sizes: Corrections for high vapor densities	1996	B. Krishnamachari James McLean B. H. Cooper James P. Sethna	4
+ PDF Chat	Crystal Dislocations with Different Orientations and Collisions	2014	Stefania Patrizi Enrico Valdinoci	4
+ PDF Chat	Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface	2018	Yuan Gao Jian‐Guo Liu Xin Lü Xiangsheng Xu	4
+ PDF Chat	Numerical Analysis of a Steepest-Descent PDE Model for Surface Relaxation below the Roughening Temperature	2010	Robert V. Kohn Henrique Versieux	4
+ PDF Chat	On the rate of convergence of empirical measure in $\infty $-Wasserstein distance for unbounded density function	2019	Anning Liu Jian‐Guo Liu Yulong Lu	4
+	Splitting Algorithms for the Sum of Two Nonlinear Operators	1979	Pierre‐Louis Lions Bertrand Mercier	3
+ PDF Chat	An efficient threshold dynamics method for wetting on rough surfaces	2016	Xianmin Xu Dong Wang Xiaoping Wang	3
+	Existence and multiplicity of solutions for Kirchhoff type problem with critical exponent	2013	Qilin Xie Xing-Ping Wu Chun‐Lei Tang	3
+	Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow	2006	Zhitao Zhang Kanishka Perera	3
+	Optimal Transport for Applied Mathematicians : Calculus of Variations, PDEs, and Modeling	2015	Filippo Santambrogio	3
+	Boundary conditions for the moving contact line problem	2007	Weiqing Ren E Weinan	3
+	A simple model of the integrable Hamiltonian equation	1978	Franco Magri	3
+ PDF Chat	Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals	1978	Tosio Kato Kyûya Masuda	3
+	Existence of nontrivial solutions and high energy solutions for Schrödinger–Kirchhoff-type equations in	2010	Xian Wu	3