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Georgia Karali
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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
522016
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
512005
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
462004
The role of multiple microscopic mechanisms in cluster interface evolution
G Karali, MA Katsoulakis
Journal of Differential Equations 235 (2), 418-438, 2007
412007
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
382008
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
352015
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
342016
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
252014
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
242010
Global-in-time behavior of the solution to a Gierer-Meinhardt system
GD Karali, T Suzuki, Y Yamada
232012
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
202003
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
192011
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
192004
The sharp interface limit for the stochastic Cahn–Hilliard equation
DC Antonopoulou, D Blömker, GD Karali
182018
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
172018
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
162011
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
152012
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
142007
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
112015
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