Math @ Duke

search scholar.google.com.Papers Published
 Gao, Y; Liu, JG; Lu, J, Weak solution of a continuum model for vicinal surface in the attachmentdetachmentlimited regime,
Siam Journal on Mathematical Analysis, vol. 49 no. 3
(January, 2017),
pp. 17051731 [doi] [abs]
 Gao, Y; Liu, JG; Lu, J, Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces,
Journal of Nonlinear Science, vol. 27 no. 3
(June, 2017),
pp. 873926 [doi] [abs]
 Gao, Y; Ji, H; Liu, JG; Witelski, TP, Global existence of solutions to a tear film model with locally elevated evaporation rates,
Physica D: Nonlinear Phenomena, vol. 350
(July, 2017),
pp. 1325 [doi] [abs]
 Gao, Y; Liang, J; Xiao, TJ, Observability inequality and decay rate for wave equations with nonlinear boundary conditions,
Electronic Journal of Differential Equations, vol. 2017
(July, 2017) [abs]
 Gao, Y; Liang, J; Xiao, TJ, A new method to obtain uniform decay rates for multidimensional wave equations with nonlinear acoustic boundary conditions,
Siam Journal on Control and Optimization, vol. 56 no. 2
(January, 2018),
pp. 13031320 [doi] [abs]
 Gao, Y; Liu, JG; Lu, XY; Xu, X, Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface,
Calculus of Variations and Partial Differential Equations, vol. 57 no. 2
(April, 2018) [doi] [abs]
 Gao, Y; Ji, H; Liu, JG; Witelski, TP, A vicinal surface model for epitaxial growth with logarithmic free energy,
Discrete and Continuous Dynamical Systems Series B, vol. 23 no. 10
(December, 2018),
pp. 44334453 [doi] [abs]
 Gao, Y; Liu, JG; Lu, XY, Gradient flow approach to an exponential thin film equation: Global existence and latent singularity,
Esaim: Control, Optimisation and Calculus of Variations, vol. 25
(January, 2019),
pp. 4949, E D P SCIENCES [doi] [abs]
 Gao, Y, Global strong solution with BV derivatives to singular solidonsolid model with exponential nonlinearity,
Journal of Differential Equations, vol. 267 no. 7
(September, 2019),
pp. 44294447 [doi] [abs]
 Gao, Y; Liu, JG, Long time behavior of dynamic solution to Peierlsâ€“Nabarro dislocation model,
Methods and Applications of Analysis, vol. 27 no. 2
(2020),
pp. 161198, International Press of Boston [doi]
 Gao, Y; Liu, JG; Luo, T; Xiang, Y, Revisit of the peierlsnabarro model for edge dislocations in Hilbert space,
Discrete and Continuous Dynamical Systems Series B, vol. 22 no. 11
(January, 2020) [doi] [abs]
 Gao, Y; Liu, JG, Large Time Behavior, BiHamiltonian Structure, and Kinetic Formulation for a Complex Burgers Equation,
Quarterly of Applied Mathematics, vol. 79 no. 1
(May, 2020),
pp. 120123, American Mathematical Society (AMS) [doi] [abs]
 Gao, Y; Lu, XY; Wang, C, Regularity and monotonicity for solutions to a continuum model of epitaxial growth with nonlocal elastic effects,
Advances in Calculus of Variations
(January, 2021) [doi] [abs]
 Gao, Y; Liu, JG, Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface,
Interfaces and Free Boundaries, vol. 23 no. 1
(January, 2021),
pp. 103158 [doi] [abs]
 Dong, H; Gao, Y, Existence and uniqueness of bounded stable solutions to the Peierlsâ€“Nabarro model for curved dislocations,
Calculus of Variations and Partial Differential Equations, vol. 60 no. 2
(April, 2021) [doi] [abs]


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