Results 11 to 20 of about 45,644 (230)
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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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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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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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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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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A Time Two-Mesh Compact Difference Method for the One-Dimensional Nonlinear Schrödinger Equation
Entropy, 2022 The nonlinear Schrödinger equation is an important model equation in the study of quantum states of physical systems. To improve the computing efficiency, a fast algorithm based on the time two-mesh high-order compact difference scheme for solving the ...
Siriguleng He, Yang Liu, Hong Li
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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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Mathematics, 2022 Invariant finite-difference schemes are considered for one-dimensional magnetohydrodynamics (MHD) equations in mass Lagrangian coordinates for the cases of finite and infinite conductivity.
Vladimir Dorodnitsyn, Evgeniy Kaptsov
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Symmetry Analysis and Conservation Laws for a Time-Fractional Generalized Porous Media Equation
Mathematics, 2022 The symmetry group method is applied to study a class of time-fractional generalized porous media equations with Riemann–Liouville fractional derivatives. All point symmetry groups and the corresponding optimal subgroups are determined.
Tianhang Gong, Wei Feng, Songlin Zhao
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