Results 11 to 20 of about 47,490 (262)

On nonlinear strain vectors and tensors in continuum theories of mechanics

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
A non-linear mathematical model of hyperbolic thermoelastic continuum with fine microstructure is proposed. The model is described in terms of 4-covariant field theoretical formalism.
Vladimir A Kovalev, Yuriy N Radayev
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SYMMETRY AND CONSERVATION LAWS [PDF]

Proceedings of the National Academy of Sciences, 1964
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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Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation [PDF]

AUT Journal of Mathematics and Computing
The goal of this article is to compute conservation law, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation using the homotopy operator, the $\mu$-symmetry method and the variational problem method.
Khodayar Goodarzi
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The limit of vanishing viscosity for doubly nonlinear parabolic equations

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We show that solutions of the doubly nonlinear parabolic equation \begin{equation*} \frac{\partial b(u)}{\partial t} - \epsilon \operatorname{div}(a(\nabla u)) + \operatorname{div}(f(u)) = g \end{equation*} converge in the limit $\epsilon ...
Ales Matas, Jochen Merker
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Symmetries of conservation laws [PDF]

Publications de l'Institut Mathematique, 2005
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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Potential conservation laws [PDF]

Journal of Mathematical Physics, 2008
We prove that potential conservation laws have characteristics depending only on local variables if and only if they are induced by local conservation laws. Therefore, characteristics of pure potential conservation laws have to essentially depend on potential variables. This statement provides a significant generalization of results of the recent paper
Popovych, Roman, Kunzinger, Michael
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Hamiltonians of the Generalized Nonlinear Schrödinger Equations

Mathematics, 2023
Some types of the generalized nonlinear Schrödinger equation of the second, fourth and sixth order are considered. The Cauchy problem for equations in the general case cannot be solved by the inverse scattering transform. The main objective of this paper
Nikolay A. Kudryashov
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Stochastic conservation laws? [PDF]

Chaos, Solitons & Fractals, 2000
We examine conservation laws, typically the conservation of linear momentum, in the light of a recent successful formulation of fermions as Kerr-Newman type Black Holes, which are created fluctuationally from a background Zero Point Field. We conclude that these conservation laws are to be taken in the spirit of thermodynamic laws.
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Aggregation with multiple conservation laws [PDF]

Physical Review E, 1996
Aggregation processes with an arbitrary number of conserved quantities are investigated. On the mean-field level, an exact solution for the size distribution is obtained. The asymptotic form of this solution exhibits nontrivial ``double'' scaling.
Krapivsky, P. L., Ben-Naim, E.
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Searching for Conservation Laws in Brain Dynamics—BOLD Flux and Source Imaging

Entropy, 2014
Blood-oxygen-level-dependent (BOLD) imaging is the most important noninvasive tool to map human brain function. It relies on local blood-flow changes controlled by neurovascular coupling effects, usually in response to some cognitive or perceptual task ...
Henning U. Voss, Nicholas D. Schiff
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