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Ayman Kachmar

Full professor
Mathematics department - Section I - Hadath
Speciality: Mathematics
Specific Speciality: PDEs of condensed matter phys

Positions
2013 - present : Professor

Faculty of Sciences I
Lebanon

OrganizingofScientificEvents 1 organized events
Partial Differential Equations and Applied Mathematics Meeting

Symposium, Lebanese University, Faculty of Sciences I (http://www.fsciences.ul.edu.lb/site/announcement.php?id=28)
March 2016

Teaching 5 Taught Courses
(2014-2015) MATH 502 - Analysis for PDE's

M2 Partial Differential Equations and Numerical Analysis

(2014-2015) Math 106 - Functions of Several Variables & Vector Functions

BS Mathematics

(2014-2015) Math 201 - Metric Topology I

BS Mathematics

(2014-2015) Math 301 - Integration I

BS Mathematics

(2014-2015) Math 301 - Integration I

BS Mathematics

Publications 28 publications
A. Kachmar A new formula for the energy of bulk superconductivity Canadian Mathematical Bulletin; http://dx.doi.org/10.4153/CMB-2016-004-x 2016

B. Helffer, A. Kachmar From constant to non-degenerately magnetic fields in superconductivity Annales de l'institut Henri Poincare - Non-linear analysis; http://dx.doi.org/10.1016/j.anihpc.2015.12.008 2016

B. Helffer, A. Kachmar, N. Raymond Tunneling for the Robin Laplacian in smooth planar domains Communications in Contemporary Mathematics 2016

M. Goffeng, A. Kachmar, M. Persson-Sundqvist Clusters of eigenvalues for the magnetic Laplacian with Robin condition Journal of Mathematical Physics, Volume 57, Article nb. 063510 2016

A. Kachmar Diamagnetism versus Robin condition and concentration of ground states Asymptotic Analysis, vol. 98, no. 4, pp. 341-375, 2016 2016

A. Kachmar, M. Nassrallah The distribution of 3D superconductivity near the second critical field Nonlinearity, Volume 29, No. 9 2016

W. Assaad, A. Kachmar The influence of magnetic steps on bulk superconductivity Discrete and Continuous Dynamical Systems Series A, Vol. 36, No. 12 2016

A. Kachmar, P. Keraval and N. Raymond Weyl formulae for the Robin Laplacian in the semiclassical limit Confluentes Mathematici 2016

A. Kachmar, M. Nassrallah Semi-classical trace asymptotics for magnetic Schrödinger operators with Robin condition Journal of Mathematical Physics 2015

B. Helffer, A. Kachmar The Ginzburg–Landau Functional with Vanishing Magnetic Field Archive for Rational Mechanics and Analysis 2015

B. Helffer, A. Kachmar Eigenvalues for the Robin Laplacian in domains with variable curvature Transactions of the American Mathematical Society 2015

The Ginzburg-Landau order parameter near the second critical field SIAM Journal on Mathematical Analysis, Vol 46, n. 1 2014

A. Kachmar and A. Khochman Spectral asymptotics for magnetic Schr\"odinger operators in domains with corners J. Spectr. Theory 3 (2013), 553-574. doi: 10.4171/JST/56

S. Fournais, A. Kachmar, M. Persson The ground state energy of the three dimensional Ginzburg-Landau functional. Part~II: Surface regime Journal de Mathématiques Pures et Appliquées doi:10.1016/j.matpur.2012.09.002

S. Fournais, A. Kachmar The ground state energy of the three dimensional Ginzburg-Landau functional. Part I: Bulk regime Communications in Partial Differential Equations DOI:10.1080/03605302.2012.717156

The ground state energy of the three-dimensional Ginzburg–Landau model in the mixed phase Journal of Functional Analysis doi:10.1016/j.jfa.2011.08.002

S. Fournais, A. Kachmar Nucleation of bulk superconductivity close to critical magnetic field Advances in Mathematics doi:10.1016/j.aim.2010.08.004

S. Fournais, A. Kachmar On the transition to the normal phase for superconductors surrounded by normal conductors Journal of Differential Equations doi:10.1016/j.jde.2009.04.012

A. Kachmar, M. Persson A non-existence result for the Ginzburg–Landau equations Comptes Rendus Mathematique

S. Fournais, A. Kachmar On the energy of bound states for magnetic Schrödinger operators Journal London Mathematical Society doi: 10.1112/jlms/jdp028

Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint ESAIM: Control, Optimisation and Calculus of Variations http://dx.doi.org/10.1051/cocv/2009009

H. Aydi, A. Kachmar Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. II Communications on Pure and Applied Analysis ; doi:10.3934/cpaa.2009.8.977

Limiting jump conditions for Josephson junctions in Ginzburg-Landau theory Differential and Integral Equations

Weyl asymptotics for magnetic Schr\"odinger operators and de Gennes' boundary condition Reviews in Mathematical Physics DOI: 10.1142/S0129055X08003468

On the perfect superconducting solution for a generalized Ginzburg-Landau equation Asymptotic Analysis

On the stability of normal states for a generalized Ginzburg–Landau model Asymptotic Analysis

On the ground state energy for a magnetic Schrödinger operator and the effect of the DeGennes boundary condition Journal of Mathematical Physics http://dx.doi.org/10.1063/1.2218980

A. Kachmar, M. Persson On the essential spectrum of magnetic Schrödinger operators in exterior domains Arab Journal of Mathematical Sciences doi:10.1016/j.ajmsc.2012.09.005

Languages
English

Full professional proficiency

French

Limited working proficiency