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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Scaling Symmetry and a New Conservation Law of the Harry Dym Equation [PDF]
Mathematics Interdisciplinary Research, 2021 In this paper, we obtain a new conservation law for the Harry Dym equation by using the scaling method. This method is algorithmic and based on variational calculus and linear algebra. In this method, the density of the conservation law is constructed by
Mehdi Jafari +2 more
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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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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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Getting deeper insight into stopping power problems in radiation physics using the Noether's theorem corollary [PDF]
Nuclear Technology and Radiation Protection, 2014 The theories that combine two different approaches in dealing with interacting objects, for instance, treating electromagnetic laser field classically, and the interacting atom as a quantum object, have some ambiguities and, as such, they should
Ristić Vladimir M. +3 more
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Correlation functions, Bell's inequalities and the fundamental conservation laws
, 2004 I derive the correlation function for a general theory of two-valued spin variables that satisfy the fundamental conservation law of angular momentum. The unique theory-independent correlation function is identical to the quantum mechanical correlation ...
Afriat A. +6 more
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Absolute conservation law for black holes [PDF]
, 1999 In all 2d theories of gravity a conservation law connects the (space-time dependent) mass aspect function at all times and all radii with an integral of the matter fields.
A. Barvinsky +48 more
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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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Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
Symmetry, Integrability and Geometry: Methods and Applications, 2008 A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them.
Maxim Ju. Balakhnev, Anatoly G. Meshkov
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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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