Front motion in the one-dimensional stochastic Cahn--Hilliard equation DC Antonopoulou, D Blomker, GD Karali SIAM Journal on Mathematical Analysis 44 (5), 3242-3280, 2012 | 56* | 2012 |
Existence and regularity of solution for a stochastic Cahn–Hilliard/Allen–Cahn equation with unbounded noise diffusion DC Antonopoulou, G Karali, A Millet Journal of Differential Equations 260 (3), 2383-2417, 2016 | 52 | 2016 |
Thin-film equations with “partial wetting” energy: existence of weak solutions M Bertsch, L Giacomelli, G Karali Physica D: Nonlinear Phenomena 209 (1-4), 17-27, 2005 | 51 | 2005 |
Ostwald ripening in two dimensions—the rigorous derivation of the equations from the Mullins–Sekerka dynamics ND Alikakos, G Fusco, G Karali Journal of Differential Equations 205 (1), 1-49, 2004 | 46 | 2004 |
The role of multiple microscopic mechanisms in cluster interface evolution G Karali, MA Katsoulakis Journal of Differential Equations 235 (2), 418-438, 2007 | 41 | 2007 |
Pulsating wave for mean curvature flow in inhomogeneous medium N Dirr, G Karali, NK Yip European Journal of Applied Mathematics 19 (6), 661-699, 2008 | 38 | 2008 |
The ground state of a Gross–Pitaevskii energy with general potential in the Thomas–Fermi limit G Karali, C Sourdis Archive for Rational Mechanics and Analysis 217 (2), 439-523, 2015 | 35 | 2015 |
Motion of a Droplet for the Stochastic Mass-Conserving Allen--Cahn Equation DC Antonopoulou, PW Bates, D Blomker, GD Karali SIAM Journal on Mathematical Analysis 48 (1), 670-708, 2016 | 34 | 2016 |
On the existence of solution for a Cahn-Hilliard/Allen-Cahn equation G Karali, Y Nagase Discrete Contin. Dyn. Syst. Ser. S 7 (1), 127-137, 2014 | 25 | 2014 |
On the convergence of a fourth order evolution equation to the Allen–Cahn equation G Karali, T Ricciardi Nonlinear Analysis: Theory, Methods & Applications 72 (11), 4271-4281, 2010 | 24 | 2010 |
Global-in-time behavior of the solution to a Gierer-Meinhardt system GD Karali, T Suzuki, Y Yamada | 23 | 2012 |
The Effect of the Geometry of the Particle Distribution in Ostwald Ripening. ND Alikakos, G Fusco, G Karali Communications in mathematical physics 238 (3), 2003 | 20 | 2003 |
Asymptotics for a generalized Cahn-Hilliard equation with forcing terms DC Antonopoulou, GD Karali, GT Kossioris Discrete Contin. Dyn. Syst. A 30 (4), 1037-1054, 2011 | 19 | 2011 |
Motion of bubbles towards the boundary for the Cahn–Hilliard equation ND Alikakos, G Fusco, G Karali European Journal of Applied Mathematics 15 (1), 103-124, 2004 | 19 | 2004 |
The sharp interface limit for the stochastic Cahn–Hilliard equation DC Antonopoulou, D Blömker, GD Karali | 18 | 2018 |
Malliavin calculus for the stochastic Cahn–Hilliard/Allen–Cahn equation with unbounded noise diffusion DC Antonopoulou, D Farazakis, G Karali Journal of Differential Equations 265 (7), 3168-3211, 2018 | 17 | 2018 |
Existence of solution for a generalized stochastic Cahn-Hilliard equation on convex domains D Antonopoulou, GD Karali Discrete Contin. Dyn. Syst. Ser. B 16 (1), 31-55, 2011 | 16 | 2011 |
Radial and bifurcating non-radial solutions for a singular perturbation problem in the case of exchange of stabilities G Karali, C Sourdis Annales de l'Institut Henri Poincaré C, Analyse non linéaire 29 (2), 131-170, 2012 | 15 | 2012 |
Singular limit of a spatially inhomogeneous Lotka–Volterra competition–diffusion system D Hilhorst, G Karali, H Matano, K Nakashima Communications in Partial Differential Equations 32 (6), 879-933, 2007 | 14 | 2007 |
Crank-Nicolson finite element discretizations for a two-dimensional linear Schrödinger-type equation posed in a noncylindrical domain D Antonopoulou, G Karali, M Plexousakis, G Zouraris Mathematics of Computation 84 (294), 1571-1598, 2015 | 11 | 2015 |