Albert ErkipFaculty of Engineering and Natural SciencesEmeritus Faculty Member(216) 483 9508albert@sabanciuniv.edu
Personal Web
Jobs
Emeritus Faculty Member
Education
B.Sc. in Mathematics, Middle East Technical University, 1974
Ph.D. in Mathematics, University of California, Berkeley, 1979
Fen Lisesi, Ankara 1967 - 1970
Areas of Interest
Partial differential equations;pseudo-differential operators; functional analysis.
Memberships
Turkish Mathematical Society, American Mathematical Society, SIAM
Article
Erbay, H. A. and Erbay, S. and Erkip, Albert (2022) "On the full dispersion Kadomtsev–Petviashvili equations for dispersive elastic waves", Wave Motion, Vol.114 (SCI)
Erbay, S. and Erkip, Albert and Kuruk, Gamze (2022) "The Camassa-Holm approximation to the double dispersion equation for arbitrarily long times", Monatshefte fur Mathematik, Vol.199, No.1, 97-111 (SCI)
Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert (2022) "A semi-discrete numerical scheme for nonlocally regularized KdV-type equations", Applied Numerical Mathematics, Vol.175, 29-39 (SCI)
Erbay, H. A. and Erbay, S. and Erkip, Albert (2021) "On the convergence of the nonlocal nonlinear model to the classical elasticity equation", Physica D: Nonlinear Phenomena, Vol.427 (SCI)
Erbay, H. A. and Erbay, S. and Erkip, Albert (2021) "A semi-discrete numerical method for convolution-type unidirectional wave equations", Journal of Computational and Applied Mathematics (SI), Vol.387 (SCI, CPCI-S)
Hacisuleyman, Aysima and Erkip, Albert and Erman, Batu and Erman, Burak (2021) "Synchronous and asynchronous response in dynamically perturbed proteins", Journal of Physical Chemistry B, Vol.125, No.3, 729-739 (SCI)
Erbay, Hüsnü Ata and Erkip, Albert and Şengül Tezel, Yasemin (2020) "Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity", Journal of Differential Equations, Vol.269, No.11, 9720-9739 (SCI)
Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert (2020) "Numerical computation of solitary wave solutions of the Rosenau equation", Wave Motion, Vol.98 (SCI)
Erbay, Hüsnü A. and Erbay, Saadet and Erkip, Albert (2019) "Long-time existence of solutions to nonlocal nonlinear bidirectional wave equations", Discrete and Continuous Dynamical Systems, Vol.39, No.5, 2877-2891 (SCI)
Erbay, Hüsnü A. and Erbay, Saadet and Erkip, Albert (2018) "Convergence of a semi-discrete numerical method for a class of nonlocal nonlinear wave equations", ESAIM: Mathematical Modelling and Numerical Analysis, Vol.52, No.3, 803-826 (SCI)
Erkip, Albert and Ramadan, Abba Ibrahim (2017) "Existence of traveling waves for a class of nonlocal nonlinear equations with bell shaped kernels", Communications on Pure and Applied Analysis, Vol.16, No.6, 2125 -2132 (SCI)
Erbay, Hüsnü A. and Erbay, Saadet and Erkip, Albert (2017) "On the decoupling of the improved boussinesq equation into two uncoupled Camassa-Holm equations", Discrete and Continuous Dynamical Systems, Vol.37, No.6, 3111-3122 (SCI)
Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert (2016) "The Camassa-Holm equation as the long-wave limit of the improved Boussinesq equation and of a class of nonlocal wave equations", Discrete and Continuous Dynamical Systems, Vol.36, No.11, 6101-6116 (SCI)
Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert (2016) "Derivation of generalized Camassa-Holm equations from Boussinesq-type equations", Journal of Nonlinear Mathematical Physics, Vol.23, No.3, 314-322 (SCI)
Erbay, H. A. and Erbay, S. and Erkip, Albert (2016) "Instability and stability properties of traveling waves for the double dispersion equation", Nonlinear Analysis: Theory, Methods & Applications, Vol.133, 1-14 (SCI)
Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert (2015) "Derivation of the Camassa-Holm equations for elastic waves", Physics Letters A, Vol.379, No.12-13, 956-961 (SCI)
Erbay, Hüsnü A. and Erbay, Saadet and Erkip, Albert (2015) "Existence and stability of traveling waves for a class of nonlocal nonlinear equations", Journal of Mathematical Analysis and Applications, Vol.425, No.1, 307-336 (SCI)
Erbay, H. A. and Erbay, S. and Erkip, Albert (2014) "Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations", Nonlinear Analysis: Theory, Methods & Applications, Vol.95, 313-322 (SCI)
Babaoğlu, Ceni and Erbay, Hüsnü A. and Erkip, Albert (2013) "Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations", Nonlinear Analysis: Theory, Methods & Applications, Vol.77, 82-93 (SCI)
Erbay, Hüsnü A. and Erkip, Albert and Muslu, Gülçin M. (2012) "The Cauchy problem for a one dimensional nonlinear elastic peridynamic model", Journal of Differential Equations, Vol.252, No.8, 4392-4409 (SCI)
Erbay, Hüsnü A. and Erbay, Saadet and Erkip, Albert (2011) "The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials", Nonlinearity, Vol.24, No.4, 1347-1359 (SCI)
Duruk Mutlubaş, Nilay and Erbay, Hüsnü Ata and Erkip, Albert (2011) "Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations", Journal of Differential Equations, Vol.250, No.3, 1448-1459 (SCI)
Duruk, Nilay and Erbay, Hüsnü A. and Erkip, Albert (2010) "Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity", Nonlinearity, Vol.23, No.1, 107-118 (SCI)
Duruk, Nilay and Erkip, Albert and Erbay, Hüsnü A. (2009) "A higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity", IMA Journal of applied mathematics, Vol.74, No.1, 97-106 (SCI)
Erkip, Albert and Erman, Burak (2004) "Dynamics of large-scale fluctuations in native proteins. Analysis based on harmonic inter-residue potentials and random external noise", Polymer, Vol.45, No.2, 641-648 (SCI)
Erkip, Albert and Erman, Burak and Seok, Chaok and Dil, Ken (2002) "Parameter optimization for the Gaussian model of protein folding", Polymer, Vol.43, No.2, 495-501 (SCI)
Publications Prior to SU
1. Erkip A.K.. The elliptic boundary problem on the half space.Comm. in PDE. Vol.4, 537-554 (1979)
2. Cordes H.O. and Erkip A.K.. The Nth order elliptic boundary problem for non-compact boundaries.Rocky Mt. J. of Math. Vol.10, 7-24 (1980)
3. Erkip A.K. and Orhon M.. Classes of averaging operators on Lp spaces. Doga, Turkish J. of Math. Vol. 10, 97-108 (1986)
4. Erkip A.K.. Normal solvabiliyt of boundary value problems in half space. Pseudo Differential Operators. Springer LNM 1256, 123-134 (1987)
5. Erkip A.K. and Schrohe E.. Pseudodifferential operators on weighted Sobolev spaces for manifolds with noncompact boundaries.Syp. in PDE. Holzau 88. Teubnertexte Zur Math. 112 (1989)
6. Erkip A.K. and Schrohe E. Normal solvability of elliptic boundary value problems on asymptotically flat manifolds. J. of Func. Anal. Vol. 109, 22-51 (1992)
7. Çalışkan N. and Erkip A.K.. Existence of solutions of the Dirichlet problem for Du + lu + h(u,gradu) gradu = f(x). Nonlinear Analysis TMA. Vol. 39, 241-245 (2000)