Polymeric Fluids

November 22, 2011

  1. (with Noel J. Walkington) An Eulerian Description of Fluids Containing Visco-Elastic Particles, Archive for Rational Mechanics and Analysis, 159, 229–252 (2001). abstract
  2. (with Qi Wang, Weinan E and Pingwen Wang) Kinetic theory for flows of nonhomogeneous rodlike liquid crystalline polymers with a nonlocal intermolecular potential, Physical Review E, 65, 051504 (2002). abstract
  3. (with Pengtao Yue, Jimmy Feng and Jie Shen) A Diffuse-Interface Method for Simulating Two-Phase Flows of Complex Fluids, Journal of Fluid Mechanics, Vol 515, 293–317 (2004). abstract
  4. (with Fanghua Lin and Ping Zhang) On Hydrodynamics of Viscoelastic Fluids, Communication of Pure and Applied Mathematics, Vol 58, Issue 11, 1437 — 1471 (2005). abstract
  5. (with Peng Yu and Qiang Du) From Micro to Macro Dynamics Via a New Closure Approximation to the FENE Model of Polymeric Fluids, SIAM Journal on Multiscale Modelling and Simulation, Vol 3, No 4, 895 — 917 (2005). abstract
  6. (with Qiang Du and Peng Yu) FENE dumbbell model and its several linear and nonlinear closure approximations, SIAM Journal on Multiscale Modeling and Simulation, Vol 4, No 3, 709 — 731 (2005). abstract
  7. (with Pengtao Yue, Jimmy Feng and Jie Shen) Diffuse-Interface Simulations of Drop-Coalescence and Retraction in Viscoelastic Fluids, Journal of Non-Newtonian Fluid Dynamics, Vol 129, 163 — 176 (2005). abstract
  8. (with Pengtao Yue, Jimmy Feng and Jie Shen) Viscoelastic Effects on Drop Deformation in Steady Shear, Journal of Fluid Mechanics, 540, 427 — 437(2005). abstract
  9. (with Pengtao Yue, Jimmy Feng and Jie Shen) Transient drop deformation upon startup of shear in viscoelastic fluids, Physics of Fluids, 17, 123101 (2005). abstract
  10. (with Pengtao Yue, Jimmy Feng and Jie Shen) Variational Approach in Two-Phase Flows of Complex Fluids transport and induced elastic stress, in A. Miranville, editor, Mathematical Models and Methods in Phase Transitions,. Nova Publications, (2005). (21 pages)
  11. (with Pengtao Yue, Jimmy Feng and Jie Shen) An Energetic Variational Formulation with Phase Field Methods for Interfacial Dynamics of Complex Fluids: Advantages and Challenges, in M.C. Calderer, E. Terentjev editors, ”Modeling of Soft Matter”, IMA Volumes in Mathematics and its Applications, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN (2005). (29 pages)
  12. (with Fanghua Lin and Ping Zhang) On a Micro-Macro Model for Polymeric Fluids near Equilibrium, Communications on Pure and Applied Mathematics, Vol 60. Issue 6, 838—866 (2007). abstract
  13. (with Xiaofeng Yang, Jimmy Feng and Jie Shen) Numerical Simulations of Jet Pinching-off and Drop Formation using an Energetic Variational Phase-Field Method, Journal of Computational Physics 218:417-428 (2006). abstract
  14. (with C. Zhou, P. Yue, J Feng and Jie Shen) Heart-shaped bubbles rising in anisotropic liquids, Physics of Fluids, 19, 041703 (2007). abstract
  15. (with Zhen Lei and Yi Zhou) Global Existence for Small Strain Viscoelasticity, Communication in Mathematical Sciences 5, No 3, 595 — 616 (2007). article
  16. (with Zhen Lei and Yi Zhou) Global Solutions for Incompressible Viscoelastic Fluids, Archive for Rational Mechanics and Analysis 188, 371 – 398 (2008). abstract
  17. (with Hailiang Liu) Boundary Conditions for the Microscopic FENE Models, SIAM Journal of Applied Mathematics Volume 68, Issue 5, 1304—1315 (2008). abstract
  18. (with Yunkyong Hyon, Jose A. Carrillo and Qiang Du) A Macroscopic Closure Approximation to the Micro-Macro FENE Models with Maximum Entropy Principle for Polymeric Materials, Kinetic and Related Models, Volume 1, Number 2, 171 — 184 (2008). abstract
  19. (with Yunkyong Hyon and Qiang Du) An Enhanced Macroscopic Closure Approximation to the Micro-macro FENE Models for Polymeric Materials, SIAM Journal of Multiscale Modeling and Simulation, Volume 7, Number 2, 978 — 1002 (2008). abstract
  20. (with Qiang Du and Yunkyong Hyon) On some PDF based moment closure approximations of micro-macro models for viscoelastic polymeric fluids, Journal of Computational and Theoretical Nanoscience, 7, 738 — 755 (2010). abstract
  21. (with Huan Sun) The Slip Boundary Condition in the Dynamics of Solid Particles Immersed in Stokesian Flows, Solid State Communications, Volume 150, Issues 22, 990-1002 (2010). abstract
  22. (with Xinpeng Xu and Tiezheng Qian) Hydrodynamic Boundary Conditions for One-Component Liquid-Gas Flows on Non-isothermal Solid Substrates, submitted to Communications for Mathematical Sciences (2011). (38 pages)
  23. Multi-scale Phenomena in Complex Fluids: Modeling, Analysis and Numerical Simulations (Series in Contemporary Applied Mathematics) (Series in Contemporary Applied Mathematics Cam) by Thomas Y. Hou (Author, Editor), Chun Liu (Editor), Jian-guo Liu (Editor), World Scientific Publishing Company ( 2009). abstract and contents
  24. Nonlinear Conservation Laws, Fluid Systems and Related Topics (Series in Contemporary Applied Mathematics) by Gui-Qiang Chen (Author, Editor), Ta-Tsien Li (Editor), Chun Liu (Editor), World Scientific Publishing Company ( 2009). abstract and contents
  25. Energetic Variational Approaches for Complex Fluids. Proceeding of the 36th Sapporo Symposium on Partial Differential Equations, August 22 - 24, 2011, Faculty of Science, Hokkaido University (2011). abstract