Results 41 to 50 of about 302,980 (283)

The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem

open access: yes, 2017
We consider the Euler equations of incompressible fluids and attempt to solve the initial value problem with the help of a concave maximization problem.We show that this problem, which shares a similar structure with the optimal transport problemwith ...
Brenier, Yann
core   +1 more source

Passive Shape‐Adaptive Fluidic Interface for Enhanced Skin‐Sensor Coupling in Wearable Devices

open access: yesAdvanced Materials Technologies, EarlyView.
This study presents a passive fluidic interface for wearable biosensors that adapts to static and dynamic body shape changes to maintain consistent skin contact. Flexible, fluid‐filled pouches redistribute pressure from high‐load areas to regions requiring improved contact, enhancing signal quality and comfort in a compact, low‐energy design for ...
Natalia Sanchez‐Tamayo   +6 more
wiley   +1 more source

Remarks on the “Onsager Singularity Theorem” for Leray–Hopf Weak Solutions: The Hölder Continuous Case

open access: yesMathematics, 2023
In this paper, we first present an overview of the results related to energy conservation in spaces of Hölder-continuous functions for weak solutions to the Euler and Navier–Stokes equations.
Luigi C. Berselli
doaj   +1 more source

Feedback linearization of discrete-time nonlinear control systems: computational aspects [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2020
An alternative solution of the static state feedback linearization problem for the discrete-time case is given. This solution is based on the sequence of distributions, whose computation requires only the knowledge of the backward shift equations.
Tanel Mullari, Ülle Kotta
doaj   +1 more source

Solid-fluid dynamics of yield-stress fluids

open access: yes, 2014
On the example of two-phase continua experiencing stress induced solid-fluid phase transitions we explore the use of the Euler structure in the formulation of the governing equations.
Grmela, Miroslav   +2 more
core   +1 more source

Direct Laser Writing of Magnetic Micro Actuators With a Stimulus‐Responsive Compliant Hinge

open access: yesAdvanced Materials Technologies, EarlyView.
This study presents a versatile modular design strategy for adaptive 3D microactuators. Using two‐photon‐induced C,H insertion reactions within solid polymer layers, chemically distinct hinge and stimulus responsive materials are patterned in one step. The hinge's properties enable tunable motion, mechanical control, and reconfigurable actuation across
Eleonora Galli   +4 more
wiley   +1 more source

On Approximate Euler Differential Equations

open access: yesAbstract and Applied Analysis, 2009
We solve the inhomogeneous Euler differential equations of the form x2y′′(x)+αxy′(x)+βy(x)=∑m=0∞amxm and apply this result to the approximation of analytic functions of a special type by the solutions of Euler differential equations.
Soon-Mo Jung, Seungwook Min
doaj   +1 more source

WENO SCHEMES FOR SOLUTION OF UNSTEADY ONE-DIMENSIONAL GAS DYNAMICS TEST PROBLEMS [PDF]

open access: yesНаучно-технический вестник информационных технологий, механики и оптики, 2016
Creation of test solutions is an essential element in the general design contents for numerical methods aimed at integration of Euler equations. We consider numerical solution of Euler equations describing flows of inviscid compressible gas and allowing ...
P. V. Bulat, K. N. Volkov
doaj   +1 more source

RETRACTED: On the Nature of Some Euler’s Double Equations Equivalent to Fermat’s Last Theorem

open access: yesMathematics, 2022
In this work, I provide a new rephrasing of Fermat’s Last Theorem, based on an earlier work by Euler on the ternary quadratic forms. Effectively, Fermat’s Last Theorem can be derived from an appropriate use of the concordant forms of Euler and from an ...
Andrea Ossicini
doaj   +1 more source

Lagrange coordinates for the Einstein-Euler equations

open access: yes, 2012
We derive a new symmetric hyperbolic formulation of the Einstein-Euler equations in Lagrange coordinates that are adapted to the Frauendiener-Walton formulation of the Euler equations.
Oliynyk, Todd A.
core   +1 more source

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