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Finite Volume Local Evolution Galerkin Method for Two-dimensional Relativistic Hydrodynamics
Finite volume local evolution Galerkin method evolution operator genuinely multi-dimensional method relativistic hydrodynamics
2014/9/26
The paper proposes a second-order accurate nite volume local evolution Galerkin
(FVLEG) method for two-dimensional special relativistic hydrodynamical (RHD) e-quations. Instead of using the dimensio...
A third-order accurate direct Eulerian GRP scheme for one-dimensional relativistic hydrodynamics
Godunov-type scheme WENO Generalized Riemann problem Riemann problem
2014/9/26
The paper analytically derives a third-order accurate direct Eulerian general-ized Riemann problem (GRP) scheme for one-dimensional special relativistic hydrody-namical equations. In our GRP scheme, t...
Global Classical Solutions of the Relativistic Vlasov-Darwin System with Small Cauchy Data: the Generalized Variables Approach
Vlasov-Darwin Cauchy Problem Global Classical Solutions
2011/8/25
Abstract: We show that a smooth, small enough Cauchy datum launches a unique classical solution of the relativistic Vlasov-Darwin (RVD) system globally in time. A similar result is claimed in Comm. Ma...
A probabilistic view on the general relativistic Boltzmann equation
General relativity, Boltzmann equation, probability, Markov process
2011/8/24
Abstract: A new probalistic approach to general relativistic kinetic theory is proposed. The general relativistic Boltzmann equation is linked to a new Markov process in a completely intrinsic way. Th...
Ratchet effect on a relativistic particle driven by external forces
Ratchet effect relativistic particle driven
2011/7/6
We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any ex...
Ground state properties in non-relativistic QED
Ground state properties non-relativistic QED
2011/2/21
We discuss recent results concerning the ground state of non-relativistic quantum electrodynamics as a function of a magnetic coupling constant or the fine structure
constant, obtained by the authors...
Momentum Regularity and Stability of the Relativistic Vlasov-Maxwell-Boltzmann System
Momentum Regularity Stability Relativistic Vlasov-Maxwell-Boltzmann System
2011/1/18
In the study of solutions to the relativistic Boltzmann equation,their regularity with respect to the momentum variables has been an outstanding question, even local in time, due to the initially unex...
Quadratic Algebra Approach to Relativistic Quantum Smorodinsky-Winternitz Systems
Quadratic Algebra Relativistic Quantum Smorodinsky-Winternitz Systems
2011/1/19
There exist a relation between the Klein-Gordon and the Dirac equations with scalar and vector potentials of equal magnitude (SVPEM) and the Schrödinger equation.
A Roe-type Riemann solver based on the spectral decomposition of the equations of Relativistic Magnetohydrodynamics
Roe-type Riemann solver spectral decomposition equations of Relativistic Magnetohydrodynamics
2011/3/2
In a recent paper (Ant´on et al. 2010) we have derived sets of right and left eigenvectors of the Jacobians of the relativistic MHD equations, which are regular and span a complete basis in any ...
On a nonlinear problem intervening in relativistic quantum mechanics perturbed by a factor of amortizement
nonlinear hyperbolic problem perturbed amortizement
2010/9/25
In this work, we study the existence and the uniqueness and the regularity of the solution of a problem governed by a nonlinear equation intervening in relativistic quantum mechanics perturbed by an a...
It is often the case in mathematical analysis that solving an open problem can be facilitated by finding a new set of coordinates which may illumniate the known difficulties. In this article, we illu...
Relativistic graphene ratchet on semidisk Galton board
Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Chaotic Dynamics (nlin.CD)
2010/11/10
Using extensive Monte Carlo simulations we study numerically and analytically a photogalvanic effect, or ratchet, of directed electron transport induced by a microwave radiation on a semidisk Galton b...
Optimal $\mathfrak{L}^β$-Control for the Global Cauchy Problem of the Relativistic Vlasov-Poisson System
the Global Cauchy Problem Relativistic Vlasov-Poisson System
2010/11/15
Recently, M.K.-H. Kiessling and A.S. Tahvildar-Zadeh proved that a unique global classical solution to the relativistic Vlasov-Poisson system exists whenever the positive, integrable initial datum is...
Existence of Spherically Symmetric Initial Data with Zero Energy, Unit Mass, and Virial less than - 1/2 for the Relativistic Vlasov-Poisson Equation with Attractive Coupling
Zero Energy Unit Mass
2010/11/19
In a recent paper, Kiessling and Tahvildar-Zadeh proved that any spherically symmetric classical solution of the attractive relativistic Vlasov-Poisson equation launched by sufficiently regular initi...
The non-relativistic limit of (central-extended) Poincare group and some consequences for quantum actualization
non-relativistic limit of (central-extended) Poincare group
2010/12/3
The non relativistic limit of the centrally extended Poincar´e group is considered and their consequences in the Modal Hamiltonian Interpretation of Quantum Mechanics discussed [1], [2]. Through...