Higher order conservation laws. II

نویسندگان

چکیده

برای دانلود رایگان 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

Gauge Gravity and Conservation Laws in Higher Order Anisotropic Spaces

We propose an approach to the theory of higher order anisotropic field interactions and curved spaces (in brief, ha–field, ha–interactions and ha–spaces). The concept of ha–space generaliSes various types of Lagrange and Finsler spaces and higher dimension (Kaluza–Klein) spaces. This work consists from two parts. In the first we outline the theory of Yang–Mills ha–fields and two gauge models of...

متن کامل

Conservation Laws in Higher-Order Nonlinear Optical Effects

Conservation laws of the nonlinear Schrödinger equation are studied in the presence of higher-order nonlinear optical effects including the third-order dispersion and the selfsteepening. In a context of group theory, we derive a general expression for infinitely many conserved currents and charges of the coupled higher-order nonlinear Schrödinger equation. The first few currents and charges are...

متن کامل

Numerical Methods for Hyperbolic Conservation Laws with Stiff Relaxation II. Higher-Order Godunov Methods

We present a higher order Godunov method for hyperbolic systems of conservation laws with stii, relaxing source terms. Our goal is to develop a Godunov method which produces higher order accurate solutions using time and space increments governed solely by the non-stii part of the system, i.e., without fully resolving the eeect of the stii source terms. We assume that the system satisses a cert...

متن کامل

High Order Regularity for Conservation Laws

We study the regularity of discontinuous entropy solutions to scalar hyperbolic conservation laws with uniformly convex fluxes posed as initial value problems on R. For positive α we show that if the initial data has bounded variation and the flux is smooth enough then the solution u( · , t) is in the Besov space Bα σ (L σ) where σ = 1/(α + 1) whenever the initial data is in this space. As a co...

متن کامل

II.21 Invariants and Conservation Laws

The inclusion principle (2) enables us to capture continuous properties of a function, using only a finite number of operations. Its most important use is to explicitly bound discretization errors that naturally arise in numerical algorithms. As an example, consider the function f(x) = cos3 x+ sinx on the domain x = [−5,5]. For any decomposition of the domain x into a finite set of subintervals...

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 Geometry

سال: 1970

ISSN: 0022-040X

DOI: 10.4310/jdg/1214429642