Results 11 to 20 of about 3,003,723 (207)
Generalized Cahn-Hilliard equations based on a microforce balance [PDF]
Journal of Applied Mathematics, 2003 We present some models of Cahn-Hilliard equations based on a microforce balance proposed by M. Gurtin. We then study the existence and uniqueness of solutions.
Alain Miranville
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Balance equations for physics-informed machine learning [PDF]
HeliyonUsing traditional machine learning (ML) methods may produce results that are inconsistent with the laws of physics. In contrast, physics-based models of complex physical, biological, or engineering systems incorporate the laws of physics as constraints ...
Sandor M. Molnar +2 more
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A remark on energy balance of the Navier–Stokes equations [PDF]
Electronic Journal of Qualitative Theory of Differential EquationsIn this short note, we provide a self-contained proof for the criterion $\nabla u\in L^\frac{5}{2}(0, T; L^2(\mathbb{R}^3))$ to Navier–Stokes equations energy balance, which improves some recent results on this problem.
Fan Wu
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Application of harmonic balance method for solving non-linear equations of motion
MATEC Web of Conferences, 2018 This article presents the advantages and limitations of a harmonic balance method applied for solving non-linear equations of monition. This method provides an opportunity to find stable and unstable periodic solutions, which was demonstrated for a few ...
Kostek Robert
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, 2023 Borrowing from the mechanics of systems of particles, the balance equations for mass, linear momentum, and angular momentum are established. Next, the balance of energy is obtained after having realized that energy in general requires a more general ...
Morro A. +3 more
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Revista Brasileira de Meteorologia, 2007 To eliminate the fast gravitational waves of great amplitude, which are not observed in the real atmosphere, the initial fields for numerical schemes of atmosphere forecasting and modeling systems are usually adjusted dynamically by applying balance ...
Andrei Bourchtein, Ludmila Bourchtein
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Homogenized Balance Equations for Nonlinear Poroelastic Composites
Applied Sciences, 2021 Within this work, we upscale the equations that describe the pore-scale behaviour of nonlinear porous elastic composites, using the asymptotic homogenization technique in order to derive the macroscale effective governing equations. A porous hyperelastic
Laura Miller, Raimondo Penta
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A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations [PDF]
, 2007 A general numerical technique is proposed for the assessment of the stability of periodic solutions and the determination of bifurcations for limit cycles in autonomous nonlinear systems represented by ordinary differential equations in the differential ...
Bonani, Fabrizio +6 more
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Simplified models for describing multitasking modes in living recognition systems [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purposeof this study is to explore the possibilities and create versions of simplified languages that describe the variety of dynamic modes during the alternating execution of multiple tasks. These languages can be used for an adequate description of
Golovina, Alina Andreevna +1 more
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An operator-splitting Galerkin/SUPG finite element method for population balance equations : stability and convergence [PDF]
, 2012 We present a heterogeneous finite element method for the solution of a high-dimensional population balance equation, which depends both the physical and the internal property coordinates.
Sashikumaar Ganesan +1 more
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