SYSTEMS OF HYPERBOLIC CONSERVATION LAWS WITH PRESCRIBED EIGENCURVES
نویسندگان
چکیده
منابع مشابه
Systems of Hyperbolic Conservation Laws with Prescribed Eigencurves
We study the problem of constructing systems of hyperbolic conservation laws in one space dimension with prescribed eigencurves, i.e. the eigenvector fields of the Jacobian of the flux are given. We formulate this as a typically overdetermined system of equations for the eigenvalues-to-be. Equivalent formulations in terms of differential and algebraic-differential equations are considered. The ...
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 کاملSystems of Hyperbolic Conservation Laws with Memory
Global weak solutions of bounded variation to systems of balance laws with non-local source are constructed by the method of vanishing viscosity. Suitable dissipativeness assumptions are imposed on the source terms to assure convergence of the method. Under these hypotheses, the total variation remains uniformly bounded and integrable in time, the vanishing viscosity solutions are uniformly sta...
متن کاملHyperbolic Conservation Laws with Fading Memory
Ut + F (U)x = 0 correspond to the constitutive relations of an elastic medium if the flux F is determined by the value of the conserved quantity U(x, t). However, if viscosity or relaxation phenomena are present, this model is inadequate. In such a case, the flux depends also on the past history of the medium U(x, τ) for τ < t, i.e., the material has memory. An important class of media of this ...
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 Hyperbolic Differential Equations
سال: 2010
ISSN: 0219-8916,1793-6993
DOI: 10.1142/s021989161000213x