Results 51 to 60 of about 935,302 (241)
Infinitely many conservation laws for generalized nonlinear progressive wave equation [PDF]
arXiv, 2023 We give a complete description of nontrivial local conservation laws of all orders for a natural generalization of the nonlinear progressive wave equation and, in particular, show that there is an infinite number of such conservation laws.
arxiv
Energy conservation and equivalence principle in General Relativity
, 2004 The generalized Stokes theorem (connecting integrals of dimensions 3 and 4) is formulated in a curved space-time in terms of paths in Minkowski space (forming Path Group).
Einstein +10 more
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A Time Two-Mesh Compact Difference Method for the One-Dimensional Nonlinear Schrödinger Equation
Entropy, 2022 The nonlinear Schrödinger equation is an important model equation in the study of quantum states of physical systems. To improve the computing efficiency, a fast algorithm based on the time two-mesh high-order compact difference scheme for solving the ...
Siriguleng He, Yang Liu, Hong Li
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Nonsmoothing in a single conservation law with memory
Electronic Journal of Differential Equations, 2001 It is shown that, provided the nonlinearity $sigma$ is strictly convex, a discontinuity in the initial value $u_0(x)$ of the solution of the equation $$ {partial over partial t} Big( u(t,x) + int_0^t k(t-s) (u(s,x)-u_0(x)),ds Big) + sigma(u)_x(t,x) = 0, $
G. Gripenberg
doaj
MathematicsIn this paper, the symmetries and conservation laws of a variable-coefficient generalized Calogero–Bogoyavlenskii–Schiff (vcGCBS) equation are investigated by modeling the propagation of long waves in nonlinear optics, fluid dynamics, and plasma physics.
Shu Miao +4 more
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Constraints for quantum logic arising from conservation laws and field fluctuations
, 2005 We explore the connections between the constraints on the precision of quantum logical operations that arise from a conservation law, and those arising from quantum field fluctuations. We show that the conservation-law based constraints apply in a number
Barnett S M +6 more
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Conservation laws in viscoelasticity [PDF]
Quarterly of Applied Mathematics, 1990 The evolution equations of a linear viscoelastic solid are written in terms of the Laplace transform of the displacement field. A corresponding reformulation of the condition of vanishing divergence for vector fields is then proposed and, through a systematic procedure, an explicit representation for a very large family of such conserved vectors is ...
Giacomo Caviglia, MORRO, ANGELO
openaire +3 more sources
Connections Between Symmetries and Conservation Laws [PDF]
SIGMA 1 (2005), 011, 16 pages, 2005 This paper presents recent work on connections between symmetries and conservation laws. After reviewing Noether's theorem and its limitations, we present the Direct Construction Method to show how to find directly the conservation laws for any given system of differential equations.
arxiv +1 more source
Illustrating Some Implications of the Conservation Laws in Relativistic Mechanics
, 2008 The conservation laws of nonrelativistic and relativistic systems are reviewed and some simple illustrations are provided for the restrictive nature of the relativistic conservation law involving the center of energy compared to the nonrelativistic ...
Boyer, Timothy H.
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