Boundary conditions for nonlinear hyperbolic systems of conservation laws
نویسندگان
چکیده
منابع مشابه
Dissipative boundary conditions for 2 2 hyperbolic systems of conservation laws for entropy solutions in BV
In this article, we investigate the BV stability of 2×2 hyperbolic systems of conservation laws with strictly positive velocities under dissipative boundary conditions. More precisely, we derive sufficient conditions guaranteeing the exponential stability of the system under consideration for entropy solutions in BV. Our proof is based on a front tracking algorithm used to construct approximate...
متن کاملOn Boundary Conditions for Multidimensional Hyperbolic Systems of Conservation Laws in the Finite Volume Framework
This report presents a method for imposing boundary conditions in the context of hyperbolic systems of conservation laws in the finite volume framework. This method is particularly well suited for approximations in the framework of Finite Volume Methods in the sense that it computes directly the normal flux at the boundary with using just the hyperbolic nature of the system and nothing else. We...
متن کاملHyperbolic Systems of Conservation Laws
Conservation laws are first order systems of quasilinear partial differential equations in divergence form; they express the balance laws of continuum physics for media with "elastic" response, in which internal dissipation is neglected. The absence of internal dissipation is manifested in the emergence of solutions with jump discontinuities across manifolds of codimension one, representing, in...
متن کاملHyperbolic Systems of Conservation Laws
Its purpose is to provide an account of some recent advances in the mathematical theory of hyperbolic systems of conservation laws in one space dimension. After a brief review of basic concepts, we describe in detail the method of wave-front tracking approximation and present some of the latest results on uniqueness and stability of entropy weak solutions. 1-Review of basic theory. This chapter...
متن کاملGenuinely Nonlinear Hyperbolic Systems of Two Conservation Laws
This is an expository paper discussing the regularity and large time behavior of admissible BV solutions of genuinely nonlinear, strictly hyperbolic systems of two conservation laws. The approach will be via the theory of generalized characteristics.
متن کاملذخیره 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: 1988
ISSN: 0022-0396
DOI: 10.1016/0022-0396(88)90040-x