Publications


Generation of fine transition layers and their dynamics for the stochastic AllenCahn equation
(with M. Alfaro, D. Antonopoulou and H. Matano), preprint.

Gradient dynamics: motion near a manifold of quasiequilibria
(with P.W. Bates, and G. Fusco), SIAM J. Applied Dynamical Systems, 17, no 3, 21062145, (2018).

Malliavin Calculus for the stochastic CahnHilliard/AllenCahn equation with unbounded noise diffusion
(with D. Antonopoulou, and D. Farazakis), J. Differential Equations, 265, no 7, 31683211, (2018).

The sharp interface limit for the stochastic CahnHilliard equation
(with D. Antonopoulou, and D. Blömker), Annales de l’Inst. Henri Poincare Probab. and Stat., 54, no 1, 280298, (2018).

Motion of a droplet for the massconserving stochastic AllenCahn equation
(with D. Antonopoulou, P.W. Bates and D. Blömker), SIAM J. Math. Anal., 48, no 1, 670708, (2016).

Existence and regularity of solution for a stochastic CahnHilliard/AllenCahn equation with unbounded noise diffusion
(with D. Antonopoulou and A. Millet), J. Differential Equations, 260, 23832417, (2016).

The ground state of a GrossPitaevskii energy with general potential in the ThomasFermi limit
(with C. Sourdis), Archive for Rational Mechanics and Analysis, 217, no 2, 439523, (2015).

CrankNicolson finite element discretizations for a 2d linear Schrödingertype equation posed in a noncylindrical domain
(with D. Antonopoulou, M. Plexousakis and G. Zouraris), Mathematics of Computation, 84, no 294, 15711598, (2015).

A Hilbert expansions method for the rigorous sharp interface
limit of the generalized CahnHilliard equation
(with D. Antonopoulou and E. Orlandi), Interfaces and Free Boundaries, 16, 65104, (2014).

On the existence of solution for a CahnHilliard/AllenCahn equation
(with Y. Nagase), Discrete Contin. Dyn. Syst. Ser. S, 7, no 1, 127137, (2014).

A nonlinear partial differential equation for the volume preserving mean curvature flow
(with D. Antonopoulou), Networks and Heterogenous Media, 8 no 1, 922, (2013).
Special issue in honor of Professor Hiroshi Matano.

Globalintime behavior of the solution to a GiererMeinhardt system
(with T. Suzuki and Y. Yamada), Discrete Contin. Dyn. Syst. Ser. A, 33 no 7, 2885  2900, (2013).

Front motion in the onedimensional stochastic CahnHilliard equation
(with D. Antonopoulou and D. Blömker), SIAM J. Math. Anal. 44, 3242–3280, (2012).

Resonance phenomena in a singular perturbation problem in the case of exchange of stabilities
(with C. Sourdis), Communications in PDE, 37, 1620  1667, (2012).

On the parabolic Stefan problem for Ostwald Ripening with kinetic undercooling and inhomogeneous driving force
(with D. Antonopoulou and N.K. Yip), J. Differential Equations, 252, 46794718, (2012).

Radial and bifurcating nonradial solutions for a singular perturbation problem in the case of exchange of stabilities
(with C. Sourdis), Annales de l' Inst. Henri Poincare Anal. Non Linéaire, 29, 131170, (2012).

Existence of solution for a generalized stochastic CahnHilliard equation on convex domains
(with D. Antonopoulou), Discrete Contin. Dyn. Syst. Ser. B, 16 no 1, 3155, (2011).

Asymptotics for a generalized CahnHilliard equation with forcing terms
(with D. Antonopoulou and G. Kossioris), Discrete Contin. Dyn. Syst. Ser. A, 30, no 4, 1037  1054, (2011).

Stability of spheres under volume preserving mean curvature flow
(with D. Antonopoulou and I. M. Sigal), Dynamics of PDE, 7, no 4, 327344, (2010).

On the convergence of a fourth order evolution equation
to the AllenCahn equation
(with T. Ricciardi), Nonlinear Analysis TMA, 72, no 11, 42714281, (2010).

Nonlinear from Linear States in TwoComponent BoseEinstein Condensates
(with P. Kevrekidis and N. Efremidis), J. Phys. A: Math. Theor. 42 045206, (2009).

Bubble Interactions for the MullinsSekerka problem: Some Case
Examples
(with P. Kevrekidis), Math. Comput. Simulations 80, 707720, (2009).

Pulsating Wave for
Mean Curvature Flow in Inhomogeneous Medium
(with N. Dirr and N.K. Yip),
European Journal of Applied Mathematics, 19, 661699, (2008).

The role of multiple microscopic mechanisms in cluster interface evolution
(with M. Katsoulakis), J. Differential Equations, 235, 418438, (2007).

Singular limit of a spatially inhomogeneous
LotkaVoltera competitiondiffusion system
(with D. Hilhorst, H. Matano and K. Nakashima), Communications in PDE, 32, 879933, (2007).

Phase boundaries motion preserving the volume of each
connected component
Asymptotic Analysis 49, no 1, 1737, (2006).

Thinfilm equations with ''partial wetting" energy:
existence of weak solutions
(with M. Bertsch and L. Giacomelli), Physica D 209, 14, 1727, (2005).

Ostwald Ripening in two dimensions  The rigorous
derivation of the equations from the MullinsSekerka dynamics
(with N. Alikakos and G. Fusco), J. Differential Equations 205,
no 1, 149, (2004).

Continuum limits of particles interacting via
diffusion
(with N. Alikakos and G. Fusco), Abstr. Appl. Anal.
2004 no 3, 215237, (2004).

Motion of bubbles towards the boundary for the
CahnHilliard equation
(with N. Alikakos and G. Fusco), European Journal of
Applied Mathematics, 15 no 1, 103124, (2004).

The effect of the geometry of the particle distribution
in Ostwald Ripening
(with N. Alikakos and G. Fusco), Comm. Math.
Phys. 238, 480488, (2003).