Analysis of a singular hyperbolic system of conservation laws
نویسندگان
چکیده
منابع مشابه
Analysis of a Singular Hyperbolic System of Conservation Laws
models the water flooding of an oil reservoir [6]. Water flooding involves the injection of water, which is immiscible with oil, into certain wells of the reservoir to force oil out at others. In this case, s = s(x, t) is the saturation of water (i.e., the volume fraction of water in the total fluid, 0 < s d 1 ), and g= g(s) is the particle velocity of the water. Consequently, since the total v...
متن کاملViscous System of Conservation Laws: Singular Limits
Abstract. We continue our analysis of the Cauchy problem for viscous system of conservation, under natural assumptions. We examine in which way does the existence time depend upon the viscous tensor B(u). In particular, we consider singular limits, where the rank of the symbol B(u; ξ) drops at the limit. This covers a lot of situations, for instance that of the limit of the Navier-Stokes-Fourie...
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 کاملThe comparison of two high-order semi-discrete central schemes for solving hyperbolic conservation laws
This work presents two high-order, semi-discrete, central-upwind schemes for computing approximate solutions of 1D systems of conservation laws. We propose a central weighted essentially non-oscillatory (CWENO) reconstruction, also we apply a fourth-order reconstruction proposed by Peer et al., and afterwards, we combine these reconstructions with a semi-discrete central-upwind numerical flux ...
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: 1986
ISSN: 0022-0396
DOI: 10.1016/0022-0396(86)90037-9