Results 21 to 30 of about 47,215 (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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Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation [PDF]
AUT Journal of Mathematics and ComputingThe 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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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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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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Mathematical study on the thickened interface model by viscosity solution of the level-set equation
Journal of Thermal Science and Technology, 2022 The level-set approach extended for its viscosity solution is investigated to derive a relation to the conservation law of fluid phenomena and the phase-field approach based on the free energy theory.
Nobuyuki OSHIMA
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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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Conserved vectors and solutions of the two-dimensional potential KP equation
Open Physics, 2023 This article investigates the potential Kadomtsev–Petviashvili (pKP) equation, which describes the evolution of small-amplitude nonlinear long waves with slow transverse coordinate dependence.
Khalique Chaudry Masood +1 more
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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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