Asymptotic behaviour of a generalized Cahn–Hilliard equation with a proliferation term
暂无分享,去创建一个
[1] Simon Villain-Guillot. Phases modulées et dynamique de Cahn-Hilliard , 2010 .
[2] Thomas Wanner,et al. Spinodal Decomposition for the¶Cahn-Hilliard Equation in Higher Dimensions:¶Nonlinear Dynamics , 2000 .
[3] Sergey Zelik,et al. Uniform exponential attractors for a singularly perturbed damped wave equation , 2003 .
[4] Stefano Finzi Vita,et al. Area-preserving curve-shortening flows: from phase separation to image processing , 2002 .
[5] A. Miranville. ASYMPTOTIC BEHAVIOR OF THE CAHN-HILLIARD-OONO EQUATION , 2011 .
[6] Leonard M Sander,et al. Generalized Cahn-Hilliard equation for biological applications. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[7] Sergey Zelik,et al. Exponential attractors for a nonlinear reaction-diffusion system in ? , 2000 .
[8] I. Lasiecka,et al. Long-time Behavior of Second Order Evolution Equations With Nonlinear Damping , 2008 .
[9] Sergey Zelik,et al. Exponential attractors for a singularly perturbed Cahn‐Hilliard system , 2004 .
[10] Sergey Zelik,et al. Exponential attractors for singularly perturbed damped wave equations: A simple construction , 2007, Asymptot. Anal..
[11] Sergey Zelik,et al. Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems* , 2005, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[12] I. Klapper,et al. Role of cohesion in the material description of biofilms. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[13] Sergey Zelik,et al. Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains , 2008 .
[14] S. Tremaine,et al. On the Origin of Irregular Structure in Saturn's Rings , 2002, astro-ph/0211149.
[15] J. E. Hilliard,et al. Free Energy of a Nonuniform System. I. Interfacial Free Energy and Free Energy of a Nonuniform System. III. Nucleation in a Two‐Component Incompressible Fluid , 2013 .
[16] Sergey Zelik,et al. Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials , 2004 .
[17] S. Bankoff,et al. Long-scale evolution of thin liquid films , 1997 .
[18] E. Favvas,et al. What is spinodal decomposition , 2008 .
[19] Numerical Studies of Cahn-hilliard Equation and Applications in Image Processing , .
[20] J. E. Hilliard,et al. Free Energy of a Nonuniform System. I. Interfacial Free Energy , 1958 .
[21] Sergey Zelik,et al. On a generalized Cahn-Hilliard equation with biological applications , 2014 .
[22] F. Otto,et al. Upper Bounds on Coarsening Rates , 2002 .
[23] Charles M. Elliott,et al. The Cahn-Hilliard Model for the Kinetics of Phase Separation , 1989 .
[24] Thomas Wanner,et al. Spinodal Decomposition for the Cahn–Hilliard Equation in Higher Dimensions.¶Part I: Probability and Wavelength Estimate , 1998 .
[25] Sergey Zelik,et al. The Cahn-Hilliard Equation with Logarithmic Potentials , 2011 .
[26] Amy Novick-Cohen,et al. Chapter 4 The Cahn–Hilliard Equation , 2008 .
[27] James S. Langer,et al. Theory of spinodal decomposition in alloys , 1971 .
[28] M. Vishik,et al. Attractors of Evolution Equations , 1992 .
[29] Stig Larsson,et al. THE CAHN-HILLIARD EQUATION , 2007 .
[30] Basil Nicolaenko,et al. Exponential Attractors in Banach Spaces , 2001 .
[31] Edgar Knobloch,et al. Thin liquid films on a slightly inclined heated plate , 2004 .
[32] Puri,et al. Computationally efficient modeling of ordering of quenched phases. , 1987, Physical review letters.
[33] A. Eden,et al. Exponential Attractors for Dissipative Evolution Equations , 1995 .
[34] James D. Murray,et al. A generalized diffusion model for growth and dispersal in a population , 1981 .
[35] R. Temam. Infinite Dimensional Dynamical Systems in Mechanics and Physics Springer Verlag , 1993 .