Null Surfaces, Initial Values and Evolution Operators for Spinor Fields [PDF]
J.Math.Phys. 37 (1996) 1091-1099, 1995 We analyze the initial value problem for spinor fields obeying the Dirac equation, with particular attention to the characteristic surfaces. The standard Cauchy initial value problem for first order differential equations is to construct a solution function in a neighborhood of space and time from the values of the function on a selected initial value ...
arxiv +1 more source
The Parametric Form of Z‐Number and Its Application in Z‐Number Initial Value Problem
International Journal of Intelligent Systems, 2017 In this paper, the parametric form of Z‐numbers is introduced and it is followed by defining arithmetic operations on them. To suggest Z‐number initial value problem (ZIVP), definition of derivative of Z‐process is necessary.
S. Pirmuhammadi +2 more
semanticscholar +1 more source
Global Well-Posedness of an Initial-Boundary Value Problem for Viscous Non-Resistive MHD Systems [PDF]
SIAM Journal on Mathematical Analysis, 2015 This paper concerns the viscous and non-resistive MHD systems which govern the motion of electrically conducting fluids interacting with magnetic fields.
Zhong Tan, Yanjin Wang
semanticscholar +1 more source
On Killing vectors in initial value problems for asymptotically flat space-times [PDF]
Class.Quant.Grav. 17 (2000) 4981-4990, 2000 The existence of symmetries in asymptotically flat space-times are studied from the point of view of initial value problems. General necessary and sufficient (implicit) conditions are given for the existence of Killing vector fields in the asymptotic characteristic and in the hyperboloidal initial value problem (both of them are formulated on the ...
arxiv +1 more source
A method for global approximation of the solution of second order IVPs [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2004 For the numerical solution of the second order initial value problem, a family of global methods is derived by finding Galerkin approximations on a given interval.
F. Costabile, A. Napoli
doaj
A generalized initial value problem for ODE's [PDF]
arXiv, 2022 This paper introduces, up to the author's knowledge, for the first time the generalized initial value problem. In this problem, given an ordinary differential equation defined in some set, the initial conditions are mapped to a subset of that domain. This generalization allows some systems to radically change their properties, in fact some obstructions
arxiv
The initial value problem for the equations of motion of viscous and heat-conductive gases
, 1980 where t 0, x = (x i , x 2 , x 3) 10, p : density (p>0), u2, le ): velocity, 0 : absolute temperature (0>0), p : pressure, f -=-( f ', f 2 , f 3) : outer force, p : coefficient of viscosity (p>0), p ': second coefficient of viscosity (p'+2/2/3.>_0 ...
A. Matsumura, T. Nishida
semanticscholar +1 more source
On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations [PDF]
, 2014 We consider a characteristic initial value problem for a class of symmetric hyperbolic systems with initial data given on two smooth null intersecting characteristic surfaces.
Aurore Cabet, P. T. Chru'sciel, R. Wafo
semanticscholar +1 more source
Algebraic entropy computations for lattice equations: why initial value problems do matter [PDF]
, 2019 In this letter we show that the results of degree growth (algebraic entropy) calculations for lattice equations strongly depend on the initial value problem that one chooses. We consider two problematic types of initial value configurations, one with problems in the past light-cone, the other one causing interference in the future light-cone, and apply
arxiv +1 more source
Runge–Kutta–Nyström Pairs of Orders 8(6) for Use in Quadruple Precision Computations
Mathematics, 2023 The second-order system of non-stiff Initial Value Problems (IVP) is considered and, in particular, the case where the first derivatives are absent.
Vladislav N. Kovalnogov +5 more
doaj +1 more source