Results 61 to 70 of about 32,174 (313)
Reproductive solutions for the g-Navier-Stokes and g-Kelvin-Voight equations
Electronic Journal of Differential Equations, 2016 This article presents the existence of reproductive solutions of g-Navier-Stokes and g-Kelvin-Voight equations. In this way, for weak solutions, we reach basically the same result as for classic Navier-Stokes equations.
Luis Friz +2 more
doaj
2D constrained Navier–Stokes equations
Journal of Differential Equations, 2018 We study 2D Navier-Stokes equations with a constraint on $L^2$ energy of the solution. We prove the existence and uniqueness of a global solution for the constrained Navier-Stokes equation on $\R^2$ and $\T$, by a fixed point argument. We also show that the solution of constrained Navier-Stokes converges to the solution of Euler equation as viscosity $
Brzezniak, Zdzislaw +2 more
openaire +4 more sources
Navier-Stokes Equations for Elliptic Complexes [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2019 We continue our study of invariant forms of the classical equations of mathematical physics, such as the Maxwell equations or the Lame system, on manifold with boundary. To this end we interpret them in terms of the de Rham complex at a certain step. On using the structure of the complex we get an insight to predict a degeneracy deeply encoded in the
Mera, Azal +2 more
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Beyond Planar: Enhanced Performance of Hollow Fiber Dielectric Elastomer Actuators
Advanced Science, EarlyView.This study presents a comprehensive analysis of hollow fiber dielectric elastomer actuators, highlighting their superior strain performance compared to planar actuators. By combining analytical modeling, numerical simulations, and experiments, it identifies optimal fiber geometries that maximize actuation efficiency.
Sina Jafarzadeh, Anne Ladegaard Skov
wiley +1 more source
Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier–Stokes Equations
Discrete Dynamics in Nature and Society, 2021 The paper is concerned with the existence and the asymptotic behavior of solutions to a class of generalized Navier–Stokes equations, which generalises the so-called globally modified Navier–Stokes equations. The existence and uniqueness of solutions are
Yonghong Duan, Xiaojuan Chai
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Analytical solutions to the Navier–Stokes equations [PDF]
Journal of Mathematical Physics, 2008 With the previous results for the analytical blowup solutions of the N-dimensional (N≥2) Euler–Poisson equations, we extend the same structure to construct an analytical family of solutions for the isothermal Navier–Stokes equations and pressureless Navier–Stokes equations with density-dependent viscosity.
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Advanced Science, EarlyView.This study demonstrates a pump‐free, hydraulic‐amplification oscillatory microfluidic device, which generates oscillatory flows by deforming flexible microchannels through reciprocating finger pressing. The mechanism of elasto‐inertial focusing in the oscillatory flows is revealed, and early detection of drug‐treated platelet aggregates and rapid cell ...
Yong Liu +3 more
wiley +1 more source
On Symmetry Breaking for the Navier–Stokes Equations [PDF]
Communications in Mathematical PhysicsTheorem added regarding isotropic norm inflation. Updated the introduction and acknowledgements.
Barker, Tobias +2 more
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Advanced Science, EarlyView.A novel acoustofluidic lysis technique based on a vibrating fiber‐tip is integrated with Raman spectroscopy and deep learning for rapid, label‐free bacterial classification. By exposing intracellular biomolecules, this method significantly enhances spectral resolution, enabling high‐accuracy classification with a 1D‐ResNet model.
Yukai Liu +9 more
wiley +1 more source
Computational and AI‐Driven Design of Hydrogels for Bioelectronic Applications
Advanced Electronic Materials, EarlyView.This review highlights the role of AI in advancing hydrogel design for bioelectronics, exploring natural, and synthetic gels tailored for applications like wound healing, biosensing, and tissue engineering. It emphasizes the synergy between hydrogels, electronics, and AI in creating responsive, multifunctional systems, showcasing recent innovations ...
Rebekah Finster +2 more
wiley +1 more source