Results 21 to 30 of about 554,981 (265)
Lagrangian-Eulerian approximation methods for balance laws and hyperbolic conservation laws
A new finite control volume in a Lagrangian-Eulerian framework is presented (see papers [1, 28]), in which a local space-time domain is studied, in order to design a locally conservative scheme.
Eduardo Abreu, Jhon Perez, Arthur Santo
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Coherence cost for violating conservation laws
In isolated quantum systems that have conserved quantities, such as energy and total magnetization, the conserved quantities cannot vary their values with their own dynamics.
Hiroyasu Tajima +2 more
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Symmetries of conservation laws [PDF]
We apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero pressure gas dynamics model, which both have no global solution, but whose solution consists of singular shock waves.
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Conservation laws of nonlinear PDEs arising in elasticity and acoustics in Cartesian, cylindrical, and spherical geometries [PDF]
Conservation laws are computed for various nonlinear partial differential equations that arise in elasticity and acoustics. Using a scaling homogeneity approach, conservation laws are established for two models describing shear wave propagation in a ...
Willy Hereman, Rehana Naz
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“Irregularization” of systems of conservation laws
We explore new ways of regulating defect behavior in systems of conservation laws. Contrary to usual regularization schemes (such as a vanishing viscosity limit), which attempt to control defects by making them smoother, our schemes result in defects ...
Hunter Swan +5 more
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Conservation laws for incompressible fluids
By means of a direct approach, a complete set of conservation laws for incompressible fluids is determined. The problem is solved in the material (Lagrangian) description and the results are eventually rewritten in the spatial (Eulerian) formulation.
G. Caviglia, A. Morro
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SYMMETRY AND CONSERVATION LAWS [PDF]
Symmetry and invariance considerations, and even conservation laws, played undoubtedly an important role in the thinking of the early physicists, such as Galileo and Newton, and probably even before then. However, these considerations were not thought to be particularly important and were articulated only rarely.
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BMS invariance and the membrane paradigm [PDF]
The Bondi-van der Burg-Metzner-Sachs (BMS) group is the asymptotic symmetry group of asymptotically flat spacetime. It is infinite dimensional and entails an infinite number of conservation laws.
Penna, Robert F.
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Conservation laws for the Maxwell-Dirac equations with a dual Ohm's law
Using a general theorem on conservation laws for arbitrary differential equations proved by Ibragimov, we have derived conservation laws for Dirac's symmetrized Maxwell-Lorentz equations under the assumption that both the electric and magnetic charges ...
Bo Thidé +4 more
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Integrability from an abelian subgroup of the diffeomorphism group
It has been known for some time that for a large class of non-linear field theories in Minkowski space with two-dimensional target space the complex eikonal equation defines integrable submodels with infinitely many conservation laws.
Adam, C. +2 more
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