The Camassa–Holm equation as an incompressible Euler equation: A geometric point of view

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

New View of the Euler-Bernoulli Equation

A special attention is paid to the motion of flexible links in a robotic configuration. The elastic deformation is a dynamic value which depends on the total dynamics of the robot system movements. The Euler-Bernoulli equation should be expanded according to the requirements of the motion complexity of elastic robotic systems. The EulerBernoulli equation (based on the existing laws of dynamics)...

متن کامل

Improved Geometric Conditions for Non-Blowup of the 3D Incompressible Euler Equation

This is a follow-up of our recent article Deng et al. (2004). In Deng et al. (2004), we derive some local geometric conditions on vortex filaments which can prevent finite time blowup of the 3D incompressible Euler equation. In this article, we derive improved geometric conditions which can be applied to the scenario when velocity blows up at the same time as vorticity and the rate of blowup of...

متن کامل

The Degasperis-Procesi equation as a non-metric Euler equation

In this paper we present a geometric interpretation of the periodic Degasperis-Procesi equation as the geodesic flow of a right invariant symmetric linear connection on the diffeomorphism group of the circle. We also show that for any evolution in the family of b-equations there is neither gain nor loss of the spatial regularity of solutions. This in turn allows us to view the Degasperis-Proces...

متن کامل

Incompressible Navier - Stokes and Euler Limits of the Boltzmann Equation

We consider solutions of the Boltzmann equation, in a d-dimensional torus, d = 2,3, for macroscopic times T = t / e N , e a: 1, t 2 0, when the space variations are on a macroscopic scale x = eN-’r , N 2 2, x in the unit torus. Let u ( x , r ) be, for t to, a smooth solution of the incompressible Navier Stokes equations (INS) for N = 2 and of the Incompressible Euler equation (IE) for N > 2. We...

متن کامل

A geometric view of cryptographic equation solving

The apparent difficulty of finding a solution to a set of multivariate quadratic equations underlies the security of multivariate cryptography and can present an impediment to the successful application of algebraic attacks. Methods for finding such a solution are thus of considerable interest for the purposes of cryptanalysis. Several algebraic techniques for solving systems of multivariate qu...

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: Journal of Differential Equations

سال: 2018

ISSN: 0022-0396

DOI: 10.1016/j.jde.2017.12.008