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## Karali, Georgia D.

Compute Distance To:
 Author ID: karali.georgia-d Published as: Karali, G.; Karali, G. D.; Karali, Georgia; Karali, Georgia D.
 Documents Indexed: 30 Publications since 2003
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#### Co-Authors

 1 single-authored 12 Antonopoulou, Dimitra C. 5 Fusco, Giorgio 4 Alikakos, Nicholas D. 3 Blömker, Dirk 3 Sourdis, Christos 2 Bates, Peter W. 2 Kevrekidis, Panayotis G. 2 Yip, Nung Kwan 1 Bertsch, Michiel 1 Dirr, Nicolas Peter 1 Efremidis, Nikolaos K. 1 Farazakis, Dimitris 1 Giacomelli, Lorenzo 1 Hilhorst, Danielle 1 Katsoulakis, Markos A. 1 Kossioris, Georgios T. 1 Matano, Hiroshi 1 Millet, Annie 1 Nagase, Yuko 1 Nakashima, Kyoichi 1 Orlandi, Enza 1 Plexousakis, Michael 1 Ricciardi, Tonia 1 Sigal, Israel Michael 1 Suzuki, Takashi 1 Yamada, Yoshio 1 Zouraris, Georgios E.
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#### Serials

 5 Journal of Differential Equations 2 European Journal of Applied Mathematics 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Mathematics of Computation 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Asymptotic Analysis 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Abstract and Applied Analysis 1 Interfaces and Free Boundaries 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Dynamics of Partial Differential Equations 1 Journal of Physics A: Mathematical and Theoretical 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S
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#### Fields

 26 Partial differential equations (35-XX) 7 Probability theory and stochastic processes (60-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 171 times in 125 Documents Cited by Year
Thin-film equations with “partial wetting” energy: Existence of weak solutions. Zbl 1079.76011
Bertsch, Michiel; Giacomelli, Lorenzo; Karali, Georgia
2005
Existence and regularity of solution for a stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion. Zbl 1382.35343
Antonopoulou, Dimitra C.; Karali, Georgia; Millet, Annie
2016
The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit. Zbl 1316.35240
Karali, Georgia; Sourdis, Christos
2015
Pulsating wave for mean curvature flow in inhomogeneous medium. Zbl 1185.53076
Dirr, N.; Karali, G.; Yip, N. K.
2008
Global-in-time behavior of the solution to a Gierer-Meinhardt system. Zbl 1277.35058
Karali, Georgia; Suzuki, Takashi; Yamada, Yoshio
2013
The role of multiple microscopic mechanisms in cluster interface evolution. Zbl 1110.74012
Karali, Georgia; Katsoulakis, Markos A.
2007
Motion of a droplet for the stochastic mass-conserving Allen-Cahn equation. Zbl 1439.35232
Antonopoulou, D. C.; Bates, P. W.; Blömker, D.; Karali, G. D.
2016
Existence of solution for a generalized stochastic Cahn-Hilliard equation on convex domains. Zbl 1227.35163
Antonopoulou, Dimitra; Karali, Georgia
2011
Motion of bubbles towards the boundary for the Cahn-Hilliard equation. Zbl 1065.35136
Alikakos, N. D.; Fusco, G.; Karali, G.
2004
Front motion in the one-dimensional stochastic Cahn-Hilliard equation. Zbl 1270.35040
Antonopoulou, D. C.; Blömker, D.; Karali, G. D.
2012
Radial and bifurcating non-radial solutions for a singular perturbation problem in the case of exchange of stabilities. Zbl 1242.35114
Karali, Georgia; Sourdis, Christos
2012
The effect of the geometry of the particle distribution in Ostwald ripening. Zbl 1083.82017
Alikakos, Nicholas D.; Fusco, Giorgio; Karali, Georgia
2003
On the convergence of a fourth order evolution equation to the Allen-Cahn equation. Zbl 1187.35006
Karali, Georgia; Ricciardi, Tonia
2010
Singular limit of a spatially inhomogeneous Lotka-Volterra competition-diffusion system. Zbl 1133.35057
Hilhorst, D.; Karali, G.; Matano, H.; Nakashima, K.
2007
Ostwald ripening in two dimensions – the rigorous derivation of the equations from the Mullins-Sekerka dynamics. Zbl 1076.35136
Alikakos, Nicholas D.; Fusco, Giorgio; Karali, Georgia
2004
On the existence of solution for a Cahn-Hilliard/Allen-Cahn equation. Zbl 1276.35004
Karali, Georgia; Nagase, Yuko
2014
Resonance phenomena in a singular perturbation problem in the case of exchange of stabilities. Zbl 1402.35122
Karali, Georgia; Sourdis, Christos
2012
Crank-Nicolson finite element discretizations for a two-dimensional linear Schrödinger-type equation posed in a noncylindrical domain. Zbl 1309.65105
Antonopoulou, D. C.; Karali, G. D.; Plexousakis, M.; Zouraris, G. E.
2015
Continuum limits of particles interacting via diffusion. Zbl 1073.35058
Alikakos, Nicholas D.; Fusco, Giorgio; Karali, Georgia
2004
Malliavin calculus for the stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion. Zbl 1391.35193
Antonopoulou, Dimitra C.; Farazakis, Dimitris; Karali, Georgia
2018
The sharp interface limit for the stochastic Cahn-Hilliard equation. Zbl 1391.35192
Antonopoulou, D. C.; Blömker, D.; Karali, G. D.
2018
Asymptotics for a generalized Cahn-Hilliard equation with forcing terms. Zbl 1222.35017
Antonopoulou, Dimitra C.; Karali, Georgia D.; Kossioris, Georgios T.
2011
Stability of spheres under volume-preserving mean curvature flow. Zbl 1219.35132
Antonopoulou, D.; Karali, G.; Sigal, I. M.
2010
Gradient dynamics: motion near a manifold of quasi-equilibria. Zbl 1409.37076
Bates, Peter; Fusco, Giorgio; Karali, Georgia
2018
A Hilbert expansion method for the rigorous sharp interface limit of the generalized Cahn-Hilliard equation. Zbl 1295.35031
Antonopoulou, Dimitra C.; Karali, Georgia; Orlandi, Enza
2014
On the parabolic Stefan problem for Ostwald ripening with kinetic undercooling and inhomogeneous driving force. Zbl 1244.35165
Antonopoulou, D. C.; Karali, G. D.; Yip, N. K.
2012
Nonlinear from linear states in two-component Bose-Einstein condensates. Zbl 1210.82041
Karali, G.; Kevrekidis, P. G.; Efremidis, N. K.
2009
Phase boundaries motion preserving the volume of each connected component. Zbl 1106.35146
Karali, Georgia
2006
Malliavin calculus for the stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion. Zbl 1391.35193
Antonopoulou, Dimitra C.; Farazakis, Dimitris; Karali, Georgia
2018
The sharp interface limit for the stochastic Cahn-Hilliard equation. Zbl 1391.35192
Antonopoulou, D. C.; Blömker, D.; Karali, G. D.
2018
Gradient dynamics: motion near a manifold of quasi-equilibria. Zbl 1409.37076
Bates, Peter; Fusco, Giorgio; Karali, Georgia
2018
Existence and regularity of solution for a stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion. Zbl 1382.35343
Antonopoulou, Dimitra C.; Karali, Georgia; Millet, Annie
2016
Motion of a droplet for the stochastic mass-conserving Allen-Cahn equation. Zbl 1439.35232
Antonopoulou, D. C.; Bates, P. W.; Blömker, D.; Karali, G. D.
2016
The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit. Zbl 1316.35240
Karali, Georgia; Sourdis, Christos
2015
Crank-Nicolson finite element discretizations for a two-dimensional linear Schrödinger-type equation posed in a noncylindrical domain. Zbl 1309.65105
Antonopoulou, D. C.; Karali, G. D.; Plexousakis, M.; Zouraris, G. E.
2015
On the existence of solution for a Cahn-Hilliard/Allen-Cahn equation. Zbl 1276.35004
Karali, Georgia; Nagase, Yuko
2014
A Hilbert expansion method for the rigorous sharp interface limit of the generalized Cahn-Hilliard equation. Zbl 1295.35031
Antonopoulou, Dimitra C.; Karali, Georgia; Orlandi, Enza
2014
Global-in-time behavior of the solution to a Gierer-Meinhardt system. Zbl 1277.35058
Karali, Georgia; Suzuki, Takashi; Yamada, Yoshio
2013
Front motion in the one-dimensional stochastic Cahn-Hilliard equation. Zbl 1270.35040
Antonopoulou, D. C.; Blömker, D.; Karali, G. D.
2012
Radial and bifurcating non-radial solutions for a singular perturbation problem in the case of exchange of stabilities. Zbl 1242.35114
Karali, Georgia; Sourdis, Christos
2012
Resonance phenomena in a singular perturbation problem in the case of exchange of stabilities. Zbl 1402.35122
Karali, Georgia; Sourdis, Christos
2012
On the parabolic Stefan problem for Ostwald ripening with kinetic undercooling and inhomogeneous driving force. Zbl 1244.35165
Antonopoulou, D. C.; Karali, G. D.; Yip, N. K.
2012
Existence of solution for a generalized stochastic Cahn-Hilliard equation on convex domains. Zbl 1227.35163
Antonopoulou, Dimitra; Karali, Georgia
2011
Asymptotics for a generalized Cahn-Hilliard equation with forcing terms. Zbl 1222.35017
Antonopoulou, Dimitra C.; Karali, Georgia D.; Kossioris, Georgios T.
2011
On the convergence of a fourth order evolution equation to the Allen-Cahn equation. Zbl 1187.35006
Karali, Georgia; Ricciardi, Tonia
2010
Stability of spheres under volume-preserving mean curvature flow. Zbl 1219.35132
Antonopoulou, D.; Karali, G.; Sigal, I. M.
2010
Nonlinear from linear states in two-component Bose-Einstein condensates. Zbl 1210.82041
Karali, G.; Kevrekidis, P. G.; Efremidis, N. K.
2009
Pulsating wave for mean curvature flow in inhomogeneous medium. Zbl 1185.53076
Dirr, N.; Karali, G.; Yip, N. K.
2008
The role of multiple microscopic mechanisms in cluster interface evolution. Zbl 1110.74012
Karali, Georgia; Katsoulakis, Markos A.
2007
Singular limit of a spatially inhomogeneous Lotka-Volterra competition-diffusion system. Zbl 1133.35057
Hilhorst, D.; Karali, G.; Matano, H.; Nakashima, K.
2007
Phase boundaries motion preserving the volume of each connected component. Zbl 1106.35146
Karali, Georgia
2006
Thin-film equations with “partial wetting” energy: Existence of weak solutions. Zbl 1079.76011
Bertsch, Michiel; Giacomelli, Lorenzo; Karali, Georgia
2005
Motion of bubbles towards the boundary for the Cahn-Hilliard equation. Zbl 1065.35136
Alikakos, N. D.; Fusco, G.; Karali, G.
2004
Ostwald ripening in two dimensions – the rigorous derivation of the equations from the Mullins-Sekerka dynamics. Zbl 1076.35136
Alikakos, Nicholas D.; Fusco, Giorgio; Karali, Georgia
2004
Continuum limits of particles interacting via diffusion. Zbl 1073.35058
Alikakos, Nicholas D.; Fusco, Giorgio; Karali, Georgia
2004
The effect of the geometry of the particle distribution in Ostwald ripening. Zbl 1083.82017
Alikakos, Nicholas D.; Fusco, Giorgio; Karali, Georgia
2003
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#### Cited by 208 Authors

 11 Karali, Georgia D. 7 Antonopoulou, Dimitra C. 6 Knüpfer, Hans 6 Sourdis, Christos 4 Novaga, Matteo 4 Otto, Felix 3 Blömker, Dirk 3 Dondl, Patrick Werner 3 Fischer, Julian 3 Gnann, Manuel V. 3 Hilhorst, Danielle 3 Scarpa, Luca 2 Aftalion, Amandine 2 Alfaro, Matthieu 2 Bates, Peter W. 2 Caffarelli, Luis Ángel 2 Cesaroni, Annalisa 2 Chen, Yanping 2 Clerc, Marcel G. 2 Degtyarev, Sergeĭ Petrovich 2 Dirr, Nicolas Peter 2 Fellner, Klemens 2 Fusco, Giorgio 2 Giacomelli, Lorenzo 2 Goudenège, Ludovic 2 Kim, Inwon Christina 2 Kowalczyk, Michał 2 Kwon, Dohyun 2 Latos, Evangelos Antonios 2 Liu, Chein-Shan 2 Niethammer, Barbara 2 Promislow, Keith Steven 2 Prüß, Jan Wilhelm 2 Royo-Letelier, Jimena 2 Shimojō, Masahiko 2 Simonett, Gieri 2 Smyrnelis, Panayotis 2 Song, Xianfa 2 Suzuki, Takashi 2 Velázquez, Juan J. L. 2 Wang, Jianyun 2 Wei, Juncheng 2 Yang, Xiaofeng 1 Alikakos, Nicholas D. 1 Almeida, Luis Tadeu 1 Álvarez-Caudevilla, Pablo 1 Balachandran, Krishnan 1 Baňas, L’ubomír 1 Barreira, Raquel 1 Berglund, Nils 1 Bertacco, Federico 1 Bertini, Lorenzo Bertini 1 Brassesco, Stella 1 Broadbridge, Philip 1 Buttà, Paolo 1 Cakir, Hayriye Guckir 1 Castéras, Jean-baptiste 1 Cesana, Pierluigi 1 Chambolle, Antonin 1 Chang, Mao-Sheng 1 Chehab, Jean-Paul 1 Chen, Yuan 1 Cheng, Yumin 1 Chenn, Ilias 1 Choi, Yongho 1 Cornalba, Federico 1 Courte, Luca 1 Cuesta Romero, Carlota Maria 1 Cui, Jianbo 1 Dávila, Juan Diego 1 Dehghan Takht Fooladi, Mehdi 1 Deng, Yanjuan 1 do Nascimento, Arnaldo Simal 1 Doelman, Arjen 1 Duan, Jinqiao 1 Ducrot, Arnaud 1 Dutercq, Sébastien 1 Ei, Shin-Ichiro 1 Fakhar-Izadi, Farhad 1 Faliagas, A. C. 1 Farazakis, Dimitris 1 Folino, Raffaele 1 Fournodavlos, Grigorios 1 Franco, Alejandro A. 1 Galaktionov, Victor Aleksandrovich 1 Gallage, Dilruk 1 Gallo, Clément 1 Gao, Hongwei 1 Giacomin, Giambattista 1 Ginder, Elliott 1 Glasner, Karl B. 1 Goldman, Matt 1 Goldman, Michael 1 Grün, Günther 1 Guo, Jong-Shenq 1 Gurusamy, Arumugam 1 He, Yinnian 1 Hong, Jialin 1 Hönig, Andreas 1 Huang, Yunqing ...and 108 more Authors
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#### Cited in 60 Serials

 16 Journal of Differential Equations 11 Archive for Rational Mechanics and Analysis 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 SIAM Journal on Mathematical Analysis 5 Journal of Mathematical Analysis and Applications 4 Journal of Nonlinear Science 4 Calculus of Variations and Partial Differential Equations 4 Discrete and Continuous Dynamical Systems 3 Computers & Mathematics with Applications 3 Journal of Statistical Physics 3 Applied Mathematics Letters 3 European Journal of Applied Mathematics 3 Communications in Partial Differential Equations 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational Physics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Discrete and Continuous Dynamical Systems. Series B 2 Discrete and Continuous Dynamical Systems. Series S 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Results in Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 The Annals of Applied Probability 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Interfaces and Free Boundaries 1 Brazilian Journal of Probability and Statistics 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Symmetry 1 Communications in Mathematics 1 Evolution Equations and Control Theory 1 Journal de l’École Polytechnique – Mathématiques 1 AMM. Applied Mathematics and Mechanics. (English Edition)
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#### Cited in 21 Fields

 106 Partial differential equations (35-XX) 28 Fluid mechanics (76-XX) 21 Probability theory and stochastic processes (60-XX) 18 Numerical analysis (65-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Differential geometry (53-XX) 8 Biology and other natural sciences (92-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of deformable solids (74-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)