Bounds on Coarsening Rates for the Lifschitz-slyozov-wagner Equation

نویسنده

  • JOSEPH G. CONLON
چکیده

This paper is concerned with the large time behavior of solutions to the Lifschitz-Slyozov-Wagner (LSW) system of equations. Point-wise in time upper and lower bounds on the rate of coarsening are obtained for solutions with fairly general initial data. These bounds complement the time averaged upper bounds obtained by Dai and Pego, and the point-wise in time upper and lower bounds obtained by Niethammer and Velasquez for solutions with initial data close to a self-similar solution.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On a Diffusive Version of the Lifschitz-Slyozov-Wagner Equation

This paper is concerned with the Becker-Döring (BD) system of equations and their relationship to the Lifschitz-Slyozov-Wagner (LSW) equations. A diffusive version of the LSW equations is derived from the BD equations. Existence and uniqueness theorems for this diffusive LSW system are proved. The major part of the paper is taken up with proving that solutions of the diffusive LSW system conver...

متن کامل

Lectures on Dynamics in Models of Coarsening and Coagulation

Contents 1 Introduction 2 2 A hierarchy of domain coarsening models in one space dimension 5 2.1 Domain walls in the Allen-Cahn equation 5 2.2 Domain wall dynamics by restricted gradient flow 7 2.3 Punctuated equilibrium and 1D bubble bath 11 2.4 Mean-field model of domain growth—the Gallay-Mielke transform 13 2.5 Proof of universal self-similar behavior 19 3 Models of domain coarsening in two ...

متن کامل

Quantum dots of CdS synthesized by micro-emulsion under ultrasound: size distribution and growth kinetics

Quantum dots of CdS with hexagonal phase were prepared at relatively low temperature (60 oC) and short time by micro-emulsion (O/W) under ultrasound. This study was focused on the particle size distribution and the growth kinetics. The particle size distribution obtained from the optical absorption edge. It was relatively symmetrical with sonication time. In addition, an agreement was observed ...

متن کامل

The Lifshitz–slyozov–wagner Equation for Reaction-controlled Kinetics

The late-stage behavior of a material undergoing a first-order phase transition (due to changes in temperature and/or pressure for example) is characterized by thermodynamic instability resolved through phase separation and consequent coarsening of the emerging phase. In the case of the new phase occupying much smaller volume fraction, and thus appearing as well-separated particles, this coarse...

متن کامل

Continuum Limits of Particles Interacting via Diffusion

We consider a two-phase system mainly in three dimensions and we examine the coarsening of the spatial distribution, driven by the reduction of interface energy and limited by diffusion as described by the quasistatic Stefan free boundary problem. Under the appropriate scaling we pass rigorously to the limit by taking into account the motion of the centers and the deformation of the spherical s...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009