Historic conservation law Research Papers (original) (raw)

This paper is devoted to the presentation of new meshless methods based on the introduction of a new class of approximation for the derivatives. They generalize classical weighted particle methods for conservation laws and converge under... more

This paper is devoted to the presentation of new meshless methods based on the introduction of a new class of approximation for the derivatives. They generalize classical weighted particle methods for conservation laws and converge under less restrictive conditions. We present two schemes and apply them to the Euler equations.

Is it possible to reduce the expected response time of every request at a web server, simply by changing the order in which we schedule the requests? That is the question we ask in this paper.This paper proposes a method for improving the... more

Is it possible to reduce the expected response time of every request at a web server, simply by changing the order in which we schedule the requests? That is the question we ask in this paper.This paper proposes a method for improving the performance of web servers servicing static HTTP requests. The idea is to give preference to requests for

We show how one can construct conservation laws of Euler-Lagrange-type equations via Noether-type symmetry operators associated with what we term partial Lagrangians. This is even in the case when a system does not directly have a usual... more

We show how one can construct conservation laws of Euler-Lagrange-type equations via Noether-type symmetry operators associated with what we term partial Lagrangians. This is even in the case when a system does not directly have a usual Lagrangian, e.g. scalar evolution equations. These Noether-type symmetry operators do not form a Lie algebra in general. We specify the conditions under which

We obtain a covariant decomposition of the motion of a relativistic charged particle into parallel motion and perpendicular gyration, and transform to guiding-center coordinates using Lie transforms. The natural guiding-center Poisson... more

We obtain a covariant decomposition of the motion of a relativistic charged particle into parallel motion and perpendicular gyration, and transform to guiding-center coordinates using Lie transforms. The natural guiding-center Poisson bracket structure and Hamiltonian are derived. The guiding-center equations of motion are presented to one order higher than the usual drifts, and the correction to the gyromomentum is given.

Like many other cities around the world, at the end of the twentieth century, Manchester was reimagined as post-industrial space. This research draws on Lefebvre's spatial triad focusing primarily on the struggles that this generated both... more

Like many other cities around the world, at the end of the twentieth century, Manchester was reimagined as post-industrial space. This research draws on Lefebvre's spatial triad focusing primarily on the struggles that this generated both within official public sector representations of space and between public sector representations and the representations of key amenity societies. The paper presents the findings of a case study analysis that reveals how the 1970s saw differing interests lay claim to the right to determine the spatial meaning and future of city-centre industrial space. The research deconstructs the (re)production of the Grade I listed Liverpool Road Station, the first train station in the world, and its conversion into the successful Museum of Science and Industry. The conclusions show that the 1970s (re)presentation of the station site facilitated its (re)production as a site of revalorised industrial heritage. The consequences were the “rediscovery” of the Castlefield area of the city, and the later reimagining of post-industrial Manchester in the 1990s, which continues in the twenty-first century.
. . . countries in the throes of rapid development blithely destroy historic
spaces—houses, palaces, military and civil structures. If advantage or profit is
to be found in it, then the old is swept away . . . Where the destruction has not
been complete, “renovation” becomes the order of the day . . . In any case what
had been annihilated in the earlier frenzy now becomes an object of adoration.
(Lefebvre, 1991, p. 360).

In this paper, based on the regular KdV system, we study negative order KdV (NKdV) equations about their Hamiltonian structures, Lax pairs, infinitely many conservation laws, and explicit multi-soliton and multi-kink wave solutions... more

In this paper, based on the regular KdV system, we study negative order KdV (NKdV) equations about their Hamiltonian structures, Lax pairs, infinitely many conservation laws, and explicit multi-soliton and multi-kink wave solutions thorough bilinear B\"{a}cklund transformations. The NKdV equations studied in our paper are differential and actually derived from the first member in the negative order KdV hierarchy. The NKdV equations are not only gauge-equivalent to the Camassa-Holm equation through some hodograph transformations, but also closely related to the Ermakov-Pinney systems, and the Kupershmidt deformation. The bi-Hamiltonian structures and a Darboux transformation of the NKdV equations are constructed with the aid of trace identity and their Lax pairs, respectively. The single and double kink wave and bell soliton solutions are given in an explicit formula through the Darboux transformation. The 1-kink wave solution is expressed in the form of tanhtanhtanh while the 1-bell ...

We study asymptotic behavior of solutions to multifractal Burgers- type equation ut + f(u)x = Au, where the operator A is a linear combination of fractional powers of the second derivative −∂2/∂x2 and f is a polynomial nonlinearity. Such... more

We study asymptotic behavior of solutions to multifractal Burgers- type equation ut + f(u)x = Au, where the operator A is a linear combination of fractional powers of the second derivative −∂2/∂x2 and f is a polynomial nonlinearity. Such equations appear in contin- uum mechanics as models with fractal diffusion. The results include decay rates of the Lp-norms, 1 ≤

The law of action-reaction is thoroughly used in textbooks to derive the conservation laws of linear and angular momentum, and it was considered by Ernst Mach the the cornerstone of physics. We give here a background survey of several... more

The law of action-reaction is thoroughly used in textbooks to derive the conservation laws of linear and angular momentum, and it was considered by Ernst Mach the the cornerstone of physics. We give here a background survey of several questions raised by the action-reaction law, and in particular, the role of the physical vacuum is shown to provide an appropriate framework to clarify the occurrence of possible violations of the action-reaction law. It is also obtained an expression for the general linear momentum of a body-particle in the context of statistical mechanics. It is shown that Newton's third law is not verified in systems out of equilibrium due to an additional entropic gradient term present in the particle's momentum.

In these lecture notes we describe the constraction, analysis, and applica-tion of ENO (Essentially Non-Oscillatory) and WENO (Weighted Essen-tially Non-Oscillatory) schemes for hyperbolic conservation laws and related Hamilton-Jacobi... more

In these lecture notes we describe the constraction, analysis, and applica-tion of ENO (Essentially Non-Oscillatory) and WENO (Weighted Essen-tially Non-Oscillatory) schemes for hyperbolic conservation laws and related Hamilton-Jacobi equations. ENO and WENO schemes are ...

The Gutenberg-Richter power law distribution of earthquake sizes is one of the most famous example illustrating self-similarity. It is well-known that the Gutenberg-Richter distribution has to be modified for large seismic moments, due to... more

The Gutenberg-Richter power law distribution of earthquake sizes is one of the most famous example illustrating self-similarity. It is well-known that the Gutenberg-Richter distribution has to be modified for large seismic moments, due to energy conservation and geometrical reasons. Several models have been proposed, either in terms of a second power law with a larger b-value beyond a cross-over magnitude,