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Local symmetries and conservation laws
Acta Applicandae Mathematicae, 1984A survey article intended for specialists in mathematical physics as an introduction to the geometric theory of nonlinear partial differential equations. Recently, a vast amount of experimental material has been accumulated in the literature on symmetries and conservation laws, and this is an attempt to bring it together on the foundation of the author'
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Local Total Variation Bounded Methods for Hyperbolic Conservation Laws
Journal of Computational Methods in Sciences and Engineering, 2003In this paper a family of local third order polynomic shock capturing methods for hyperbolic conservation laws is presented. We put out the fundamental aspects of original Piecewise Hyperbolic Method (PHM). Some numerical experiments are analyzed.
Amat, Sergio +2 more
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Layer-Mean Quantities, Local Conservation Laws, and Vorticity
Physical Review Letters, 1997We derive local conservation laws for layer-mean quantities in two general settings. When applied to Euler flows, the first of these settings yields well-known local conservation laws for quantities averaged between material surfaces. The second, however, leads to new local conservation laws for quantities involving the vorticity that are averaged ...
Roberto Camassa, C. David Levermore
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On differential conservation laws in non-local field theories
Il Nuovo Cimento, 1953It is investigated to what extent conservation laws are satisfied in non-loeal field theories. First it is shown that from the invariance of the action integral with respect to gauge transformations of the first kind, translations and rotations of space-time there follow the integral conservation laws.
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LOCAL CONSERVATION LAWS FOR VARIOUS NONLINEAR σ-MODELS
2009On the basis of the formulation given in a preceding paper, we derive an infinitive series of conservedlocal currents explicitly for the two-dimensional classical σ-models on the complex Grassmann manifold U(m+n)/U(m)?U(n) and for U(N) principal chiral field.
GUANGZHAO ZHOU, XINGCHANG SONG
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Locally bounded solutions of one-dimensional conservation laws
Differential Equations, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Second variational derivative of local variational problems and conservation laws. [PDF]
, 2011 The paper deals with topological aspects of conserved quantities which arise in correspondence of symmetries in field theories. Noether's theorem is local in its nature; in the paper the more general problem of finding global conservation laws is addressed when there is no global Lagrangian to a given variational form.
PALESE, Marcella +2 more
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Non-local transformations and non-local conservation laws for free fields
Il Nuovo Cimento, 1961Non-local transformations are introduced, which, when applied to fields obeying homogeneous non-zero mass equations, define new fields obeying massless equations. These transformations are used to extend to the case of massive fields the conservation laws connected with the invariance properties of massless equations.
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Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
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