| 1 | Preface显示文摘The International Conference on Nonlinear and Multiscale Partial Differential Equations:Theory,Numerics and Applications was held on September 16-20,2013 at Fudan University,Shanghai.It was organized in honor of Luc Tartar by the Institut Sino-Francais de Mathematiques Appliquees(ISFMA,the Sino-French Institute of Applied Mathematics). | Radjesvarane ALEXANDRE Alain DAMLAMIAN Tatsien LI Frangcois MURAT | 2015 | Chinese Annals of Mathematics,Series B2015,36,5: | 0 |
| 2 | Some Remarks on Korn Inequalities显示文摘A recent joint paper with Doina Cioranescu and Julia Orlik was concerned with the homogenization of a linearized elasticity problem with inclusions and cracks(see[Cioranescu, D., Damlamian, A. and Orlik, J., Homogenization via unfolding in periodic elasticity with contact on closed and open cracks, Asymptotic Analysis, 82, 2013, 201–232]). It required uniform estimates with respect to the homogenization parameter. A Korn inequality was used which involves unilateral terms on the boundaries where a nopenetration condition is imposed. In this paper, the author presents a general method to obtain many diverse Korn inequalities including the unilateral inequalities used in [Cioranescu, D., Damlamian, A. and Orlik, J., Homogenization via unfolding in periodic elasticity with contact on closed and open cracks, Asymptotic Analysis, 82, 2013, 201–232]. A preliminary version was presented in [Damlamian, A., Some unilateral Korn inequalities with application to a contact problem with inclusions, C. R. Acad. Sci. Paris, Ser. I,350, 2012, 861–865]. | alain damlamian | 2018 | Chinese Annals of Mathematics,Series B2018,39,2: | 0 |