On a nonlocal phase separation model

By H. Gajewski, K. Zacharias. 2003

127 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Materials Chemistry, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/e4713a738a360a4040c3a7820efbe9aa35398c02

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

In Materials Chemistry

In Modeling and Simulation

Citations in the corpus

The Neumann boundary problem for a nonlocal Cahn–Hilliard equation (2005, methodology): “Gajewski and Zacharias [13] considered the equation”
Longtime behavior of nonlocal Cahn-Hilliard equations (2012, methodology): “A similar equation endowed with no flux boundary condition was studied in [23] (cf.”
Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations (2015, methodology): “(66)), while the nonlocal operator J [u] of [4, 14, 20] (recall (7)) corresponds to the gradient of”
On convergence to equilibria for the Keller–Segel chemotaxis model (2007, background): “With u = u(t, x) denoting the species density, and v = v(t, x) a rescaled chemical substance density, the relevant mathematical problem consists of a system of partial differential equations which reads, after a suitable normalization [6], ∂tu(t, x) = divx ( ∇xu(t, x) − u(t, x)∇xv(t, x) )”
Exponential attractors for a singularly perturbed Cahn‐Hilliard system (2004, background): “Several generalizations of the original equation have been proposed and studied (see for instance [4], [5], [8], [9], [13], [15], [16], [19], [20], [21], [23], [26], [27], [29], [30], [33], [35], [37], [38], [39], [41] and [45]) and, among them, the viscous Cahn-Hilliard equation, which can be seen ”
ASYMPTOTIC BEHAVIOR OF THE CAHN-HILLIARD-OONO EQUATION (2011, background): “1) is a particular (and actually simplified) case of nonlocal Cahn-Hilliard models (see [16], [17] and [18]), obtained by considering the free energy”
The Cahn-Hilliard Equation with Logarithmic Potentials (2011, unknown): “, in [15] and [95].”
Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials (2004, background): “the review articles [10] and [11] and, among many references, [9,12–27].”