[PDF] Top 20 Conservation laws and generalized isometric embeddings

... frames, and to establish Cartan’s structure ...forms, and thus is expressed in the Cartan ...introducing and defining the notion of a connection and its curvature on an arbitrary vector ... Voir le document complet

... formal conservation and mimetic properties at the discrete ...of conservation laws, the new scheme also allows for a generalization to a framework that accommodates existing schemes for ... Voir le document complet

... In section 2 we introduce the concept of monotonization which leads us to a new definition of entropy solution. This approach can lead to the concept of entropy for systems. In section 3 we construct a first two step ... Voir le document complet

... a generalized CamassaHolm equation [ 8 ], an existence of local (in time) smooth solutions was given in [ 27 , 26 ...solutions and a study of the limiting cases ` → 0, +∞ was done in [ 11 ... Voir le document complet

... In order to do so we use the fractional BV spaces which appear to be more relevant in the one-dimensional case to get the regularity and the shock structure of entropy solutions ([1]). One-dimensional examples ... Voir le document complet

... uniqueness and the BV regularity of the entropy so- ...basis and the proof of s = α for one dimensional uniformly convex flux (α = ...convex and some degenerate convex ...A generalized Oleinik ... Voir le document complet

... 0 and µ ≥ 0, then it is the unique entropy solution of ...somewhat generalized by DeLellis, Otto and Westdickenberg ...0 and µ a signed Radon measure must satisfy (42) for all convex ... Voir le document complet

... of generalized (kinetic) solution, Definition ...any generalized solution reduces to a mere solution, ...a generalized solution of (4) and, using Theorem 7, deduce the strong convergence of ... Voir le document complet

... 0) and (y, 0) in the (x,t) plane then u is constant on the two characteristics issued from (x, 0) and (y, 0) and the constant difference of the velocities is less than the constant velocity needed to ... Voir le document complet

... approach and to link it with previous results presented by [1], we consider the special case where γ = δ = 0, corresponding to a frictionless horizontal ...(7) and using another series decomposition, we ... Voir le document complet

... to elastodynamics [58], that latter result straightforwardly extends to the non- isothermal compressible UCM models where (38) is complemented with (19) when ˜ E remains a convex extension, i.e. is strictly convex ... Voir le document complet

... h and P are just mathematical entropies of the system ...B and P as independent ...[17] and by Demoulini-Stuart-Tzavaras [18] for nonlinear ...BI and ABI systems, the reader is referred to ... Voir le document complet

... Hyperbolic Conservation Laws, Riemann problem, Godunov’s method, van Leer’s method, limiter, Burgers’ equation 1 Introduction The mathematical description of many practical problems in science and ... Voir le document complet

... The evacuation time T is particularly relevant and can be computed integrating (4.9)–(4.10) numerically following the procedure used in Sec- tion 3. Having a simple initial datum, i.e. uniformly distributed on a ... Voir le document complet

... u and ˆ u with the same initial datum, we obtain ˜ u, ˜ u to which the result of the theorem applies (notice that a common value of h ˆ 0 can be taken while constructing ˜ u and ˜ ˆ ...u and ˆ u ... Voir le document complet

... Scalar conservation laws; Non-local flux; ...Introduction Conservation laws with non-local flux have drawn growing attention in the recent ...[20] and traffic flows [6, 8, ... Voir le document complet

... OF CONSERVATION LAWS IN SEVERAL SPACE DIMENSIONS AEKTA AGGARWAL ∗ , RINALDO ..., AND PAOLA GOATIN ∗ ...nonlocal and nonlinear systems of conservation laws in several space ... Voir le document complet

... space and time, giving rise to infinite acceleration or deceleration ...model and second order models present an unbounded acceleration of ...vehicle and bounded but unrealistic acceleration values ... Voir le document complet

... 5.1 Comparison with an exact solution In this section we compare the calculated and exact solutions of two Riemann problems. We consider the following functions f (s, c) = s(4 − s)/(1 + c), a(c) = c. (20) Note ... Voir le document complet

... [16] S. Junca, A two-scale convergence result for a nonlinear conserva- tion law in one space variable, Asymptotic Analysis, 17, (1998), 221–238. [17] S. Junca, High frequency waves and the maximal smoothing ... Voir le document complet