Results 101 to 110 of about 3,258,064 (367)
Cauchy problem for the hyperbolic system with mixed derivative
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Cauchy problem for the hyperbolic system with mixed derivative is considered. The given system is transformed to the triangular or diagonal form for the further equations separation.
E. A. Kozlova
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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
On the Cauchy problem for the Schrödinger-Hartree equation
, 2015 In this paper, we undertake a comprehensive study for the Schrodinger-Hartree equation \begin{equation*} iu_t +\Delta u+ \lambda (I_\alpha \ast |u|^{p})|u|^{p-2}u=0, \end{equation*} where $I_\alpha$ is the Riesz potential.
Binhua Feng, Xian-Zhi Yuan
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Advanced Science, EarlyView.SGCD presents a novel approach for tissue spatial domain identification by employing interpolation to estimate inter‐spot gene expression and deconvolution to resolve cell‐type composition in both sampled and interstitial regions. By integrating gene expression, cell type, and spatial coordinates within a graph contrastive learning framework, SGCD ...
Tianjiao Zhang +7 more
wiley +1 more source
On the Cauchy Problem for the Linearised Einstein Equation [PDF]
Annales Henri Poincaré, 2019 31 ...
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3D Hyperbolic Kirigami Metamaterials With Tunable Auxeticity and Multistability
Advanced Science, EarlyView.This study proposes a hyperbolic tessellation‐based structure that integrates TPMSs (Triply Periodic Minimal Surfaces, including SP: Schwarz Primitive, SD: Schwarz Diamond, and GY: Gyroid) with rotating rigid polygons, which enables 3D scalable deformation. The structure exhibits auxeticity and multistability, with a maximum volume expansion rate of up
Yu Lei +7 more
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The Cauchy problem for operator-Boussinesq equations
, 2017 In this paper, the existence and uniqueness of solution of the Cauchy problem for abstract Boussinesq equation is obtained. By applying this result, the Cauchy problem for systems of Boussinesq equations of finite or infinite orders are ...
Shakhmurov, Veli
core
No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
Asian Journal of Control, EarlyView.Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi +3 more
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A METHOD TO DETERMINE COEFFICIENTS IN CAUCHY-EULER DIFFERENTIAL EQUATIONS OF ORDER N
Visión Electrónica, 2014 This article presents a method that provides a simple way to find the constant coefficients required in the solution of a differential equation with Cauchy-Euler structure.
Fabio Hernando Castellanos Moreno +1 more
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The Periodic Cauchy Problem for Novikov's Equation [PDF]
International Mathematics Research Notices, 2010 We study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by V. Novikov. Like the Camassa-Holm and Degasperis-Procesi equations, Novikov's equation has Lax pair representations and admits peakon solutions, but it has nonlinear terms that are cubic, rather than quadratic. We show the local well-posedness of the
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