Generalized solutions for inextensible string equations

نویسندگان

Yasemin Şengül

Dmitry Vorotnikov

چکیده

We study the system of equations of motion for inextensible strings. This system can be recast into a discontinuous system of conservation laws as well as into the total variation wave equation. We prove existence of generalized Young measure solutions with non-negative tension after transforming the problem into a system of conservation laws and approximating it with a regularized system for which we obtain uniform estimates of the energy and the tension. We also discuss sufficient conditions for non-negativity of the tension for strong solutions. © 2016 Elsevier Inc. All rights reserved. MSC: 35D99; 35L99; 35Q74; 74H20

برای دانلود رایگان 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

Toda Lattice Hierarchy and Generalized String Equations

String equations of the p-th generalized Kontsevich model and the compactified c = 1 string theory are re-examined in the language of the Toda lattice hierarchy. As opposed to a hypothesis postulated in the literature, the generalized Kontsevich model at p = −1 does not coincide with the c = 1 string theory at self-dual radius. A broader family of solutions of the Toda lattice hierarchy includi...

متن کامل

New study to construct new solitary wave solutions for generalized sinh- Gordon equation

In this work, we successfully construct the new exact traveling wave solutions of the generalized Sinh–Gordon equation by new application of the homogeneous balance method. The idea introduced in this paper can be applied to other nonlinear evolution equations.

متن کامل

On the Curve Straightening Flow of Inextensible, Open, Planar Curves

We consider the curve straightening flow of inextensible, open, planar curves generated by the Kirchhoff bending energy. It can be considered as a model for the motion of elastic, inextensible rods in a high friction regime. We derive governing equations, namely a semilinear fourth order parabolic equation for the indicatrix and a second order elliptic equation for the Lagrange multiplier. We p...

متن کامل

Remarks on string solitons

We consider generalized self-duality equations for U(2r) Yang-Mills theory on R8 with quaternionic structure. We employ the extended ADHMmethod in eight dimensions to construct exact soliton solutions of the low-energy effective theory of the heterotic string.

متن کامل