Level Set Method for Motion by Mean Curvature

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Level Set Method For Motion byMean Curvature

Modeling of a wide class of physical phenomena, such as crystal growth and flame propagation, leads to tracking fronts moving with curvature-dependent speed. When the speed is the curvature this leads to one of the classical degenerate nonlinear second-order differential equations on Euclidean space. One naturally wonders, “What is the regularity of solutions?” A priori solutions are only defin...

متن کامل

Motion of Level Set by General Curvature

In this paper, we study the motion of level sets by general curvature. The difficulty in this setting is for a general curvature function, it’s only well defined in an admissible cone. In order to extend the existence result to outside the cone we introduce a new approximation function f̂ (see (3.1)). Moreover, using the idea in [5], we give an elliptic approach for the Ben-Andrews’ non-collapsi...

متن کامل

Motion of Level Sets by Mean Curvature. I

We construct a unique weak solution of the nonlinear PDE which asserts each level set evolves in time according to its mean curvature. This weak solution allows us then to define for any compact set Γo a unique generalized motion by mean curvature, existing for all time. We investigate the various geometric properties and pathologies of this evolution.

متن کامل

Motion of Level Sets by Mean Curvature. Ii

We give a new proof of short time existence for the classical motion by mean curvature of a smooth hypersurface. Our method consists in studying a fully nonlinear uniformly parabolic equation satisfied by the signed distance function to the surface

متن کامل

Algorithms for computing motion by mean curvature

We propose a finite element algorithm for computing the motion of a surface moving by mean curvature. The algorithm uses the level set formulation, so that changes in topology of the surface can be accommodated. Stability is deduced by showing that the discrete solutions satisfy both L°° and W' bounds. Existence of discrete solutions and connections with Brakke flows are established. Some numer...

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

ژورنال

عنوان ژورنال: Notices of the American Mathematical Society

سال: 2016

ISSN: 0002-9920,1088-9477

DOI: 10.1090/noti1439