Results 81 to 90 of about 935,302 (241)
Infinitely many conservation laws for the discrete KdV equation [PDF]
, 2009 In \cite{RH3} Rasin and Hydon suggested a way to construct an infinite number of conservation laws for the discrete KdV equation (dKdV), by repeated application of a certain symmetry to a known conservation law. It was not decided, however, whether the resulting conservation laws were distinct and nontrivial.
arxiv +1 more source
Conservative iterative methods for implicit discretizations of conservation laws [PDF]
arXiv, 2021 Conservation properties of iterative methods applied to implicit finite volume discretizations of nonlinear conservation laws are analyzed. It is shown that any consistent multistep or Runge-Kutta method is globally conservative. Further, it is shown that Newton's method, Krylov subspace methods and pseudo-time iterations are globally conservative ...
arxiv
Level Set Methods for Stochastic Discontinuity Detection in Nonlinear Problems
, 2019 Stochastic physical problems governed by nonlinear conservation laws are challenging due to solution discontinuities in stochastic and physical space. In this paper, we present a level set method to track discontinuities in stochastic space by solving a ...
Doostan, Alireza +2 more
core +1 more source
The symmetric form of poroelasticity dynamic equations in terms of velocities, stresses and pressure
Open Engineering, 2016 The form of the equation of motion of porous media in terms of velocities, stresses and pressure as symmetric t-hyperbolic (in the sense of Friedrichs) system has been obtained.
Berdyshev Abdumauvlen +3 more
doaj +1 more source
Conservation Laws and Thermodynamic Efficiencies [PDF]
Physical Review Letters, 2013 5 pages, 4 ...
BENENTI, GIULIANO, Casati, G., Wang, J.
openaire +5 more sources
Globally optimal departure rates for several groups of drivers
Mathematics in Engineering, 2019 The first part of this paper contains a brief introduction to conservation law models of traffic flow on a network of roads. Globally optimal solutions and Nash equilibrium solutions are reviewed, with several groups of drivers sharing different cost ...
Alberto Bressan, Yucong Huang
doaj +1 more source
Towards a Noether-like conservation law theorem for one dimensional reversible cellular automata [PDF]
arXiv, 2003 Evidence and results suggesting that a Noether--like theorem for conservation laws in 1D RCA can be obtained. Unlike Noether's theorem, the connection here is to the maximal congruences rather than the automorphisms of the local dynamics. We take the results of Takesue and Hattori (1992) on the space of additive conservation laws in one dimensional ...
arxiv
Multi-Symplectic Magnetohydrodynamics: II, Addendum and Erratum
, 2015 A recent paper arXiv:1312.4890 on multi-symplectic magnetohydrodynamics (MHD) using Clebsch variables in an Eulerian action principle with constraints is further extended.
McKenzie, J. F. +2 more
core +1 more source
Mathematical Modelling and Analysis, 2003 Functionals with values in Non‐Archimedean field of Laurent series applied to the definition of generalized solution (in the form of shock wave) of the Hopf equation and equations of elasticity theory.
M. Radyna
doaj +1 more source
On a nonlocal hyperbolic conservation law arising from a gradient constraint problem [PDF]
arXiv, 2012 In some models involving nonlinear conservation laws, physical mechanisms exist which prevent the formation of shocks. This gives rise to conservation laws with a constraint on the gradient of the solution. We approach this problem by studying a related conservation law with a spatial nonlocal term.
arxiv