Assistant Professor, Lakehead University

Email: xlu8 AT lakeheadu.ca

Available papers (22):

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• D. Wang - A. Rinaldo - X. Y. Lu (Submitted Paper)
  DBSCAN: Optimal Rates For Density Based Clustering (2019)
• P. Liu - X. Y. Lu (Submitted Paper)
  Real order (an)-isotropic total variation in image processing - Part II: Learning of optimal structures (2019)
• R. Choksi - X. Y. Lu (Submitted Paper)
  Bounds on the Geometric Complexity of Optimal Centroidal Voronoi Tesselations in 3D (2018)
• P. Liu - X. Y. Lu (Submitted Paper)
  Real order (an)-isotropic total variation in image processing - Part I: analytical analysis and functional properties (2018)
• Y. Gao - J. G. Liu - X. Y. Lu - X. Xu (Accepted Paper: CVPDE)
  Maximal monotone operator in non-reflexive Banach space and the application to thin film equation in epitaxial growth on vicinal surface (2017)
• Y. Gao - J. G. Liu - X. Y. Lu (Accepted Paper: ESAIM: COCV)
  Gradient flow approach to an exponential thin film equation: global existence and latent singularity (2017)
• Y. Yu - D. Kamensky - M. C. Hsu - X. Y. Lu - Y. Bazilevs - T. J. R. Hughes (Accepted Paper: Math. Models Meth. Appl. Sci.)
  Error estimates for dynamic augmented Lagrangian boundary condition enforcement, with application to immersogeometric fluid–structure interaction (2017)
• C. J. Garcia-Cervera - T. Giorgi - S. Joo - X. Y. Lu (Accepted Paper: SIAM J. Math. Anal.)
  Switching mechanism in the B_{1RevTilted} phase of bent-core liquid crystals (2017)
• X. Y. Lu (Accepted Paper: Commun. Math. Sci.)
  Analytical validation of a 2+1 dimensional continuum model for epitaxial growth with elastic substrate (2017)
• X. Y. Lu (Submitted Paper)
  Strong solutions of a continuum model for epitaxial growth with elasticity on vicinal surfaces. (2016)
• J. Liu - X. Y. Lu - N. J. Walkington (Accepted Paper: Q. Appl. Math.)
  Analysis of a dislocation model for earthquakes (2016)
• X. Y. Lu (J. Nonlinear Sci.)
  On the solutions of a 2+1 dimensional model for epitaxial growth with axial symmetry (2016)
• X. Y. Lu (Accepted Paper: Netw. Heterog. Media)
  Regularity of densities in relaxed and penalized average distance problem (2015)
• X. Y. Lu - D. Slepčev (Accepted Paper: ESAIM: COCV)
  Average-distance problem for parameterized curves (2015)
• X. Y. Lu (Accepted Paper: Rend. Sem. Mat. Univ. Padova)
  Example of minimizer of the average distance problem with non closed set of corners (2015)
• I. Fonseca - G. Leoni - X. Y. Lu (Commun. Part. Diff. Eq.)
  Regularity in time for weak solutions of a continuum model for epitaxial growth with elasticity on vicinal surfaces (2015)
• X. Y. Lu (Accepted Paper: Adv. Calc. Var.)
  More counterexamples to regularity for minimizers of the average distance problem (2014)
• X. Y. Lu - D. Slepčev (SIAM J. Math. Anal.)
  Properties of minimizers of average-distance problem via discrete approximation of measures (2013)
• X. Y. Lu (Phd Thesis)
  Geometric and regularity properties of solutions of some problems related to the average distance functional (2013)
• X. Y. Lu (Commun. Math. Anal.)
  Geometric and topological properties of exponent related dynamic evolution (2012)
• X. Y. Lu (Preprint)
  Qualitative properties of evolution schemes in higher dimension domains (2012)
• X. Y. Lu (Commun. Appl. Anal.)
  Branching time estimates in quasi-static evolution for the average distance functional (2011)