Results 51 to 60 of about 15,169 (314)

Entropy-bounded solutions to the Cauchy problem of compressible planar non-resistive magnetohydrodynamics equations with far field vacuum [PDF]

, 2023
Jinkai Li, Mingjie Li, Yang Liu, Xin Zhong   +3 more
openalex   +1 more source

Microscale Mapping of Fiber Strain and Damage in Composite Wrinkled Laminates Using Computed Tomography Assisted Wide‐Angle X‐Ray Scattering

Advanced Science, EarlyView.
This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong, James Trevarthen, Igor Dolbnya, Wadwan Singhapong, Nicholas Pilato, Richard Butler, Jiraphant Srisuriyachot, Alexander J. G. Lunt   +7 more
wiley   +1 more source

Some class of nonlinear partial differential equations in the ring of copolynomials over a commutative ring

Frontiers in Applied Mathematics and Statistics
We study the copolynomials, i.e., K-linear mappings from the ring of polynomials K[x] into the commutative ring K. With the help of the Cauchy–Stieltjes transform of a copolynomial, we introduce and examine a multiplication of copolynomials.
Sergiy L. Gefter, Aleksey L. Piven'
doaj   +1 more source

The Cauchy problem for 𝑝-evolution equations [PDF]

Transactions of the American Mathematical Society, 2010
In this paper we deal with the Cauchy problem for evolution equations with real characteristics. We show that the problem is well-posed in Sobolev spaces assuming a suitable decay of the coefficients as the space variable x → ∞ x\to \infty .
CICOGNANI, MASSIMO, F. Colombini
openaire   +3 more sources

Polarization‐Dependent 3D Holography Generated by Inverse Design Nanoprinting Metasurface

Advanced Science, EarlyView.
A novel polarization‐dependent 3D holography is proposed by introducing polarization as an additional freedom, enabling enhanced depth selectivity and greater control over holographic reconstruction. The efforts perfectly combine the polarization and 3D holography display into ADAM gradient descent algorithm, the application of nanoprinting further ...
Lingxing Xiong, Jintao Gong, Fei Zhang, Wenhao Miao, Qiong He, Dapeng Zhang, Yangjian Cai, Nan Chi   +7 more
wiley   +1 more source

Asymptotic estimates of solution to damped fractional wave equation

Journal of Inequalities and Applications
It is known that the damped fractional wave equation has the diffusive structure as t → ∞ $t\rightarrow \infty $ . Let u ( t , x ) = e − t cosh ( t L ) f ( x ) + e − t sinh ( t L ) L ( f ( x ) + g ( x ) ) $u(t,x)=e^{-t}\cosh (t\sqrt{L})f(x)+e^{-t} \frac{\
Meizhong Wang, Dashan Fan
doaj   +1 more source

A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations

Journal of Applied Mathematics, 2012
This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness
Fang Li, Jin Liang, Tzon-Tzer Lu, Huan Zhu   +3 more
doaj   +1 more source

Intelligent Soft Opto‐Magnetic Robot for Minimally Invasive Interventional Therapy

Advanced Science, EarlyView.
An intelligent soft opto‐magnetic (iSOM) robot is developed that integrates remote magnetic actuation, skin‐mimic tactile perception, and photothermal ablation in a near‐millimeter‐scale design. It enables precise intraluminal navigation and localized ablation while providing real‐time optical feedback to support safe and accurate minimally invasive ...
Jingjing Guo, Xiaoyan Guo, Jian Wei, Miaowen Jiang, Qifa Su, Xian Xia, Zhuozhou Li, Rong Cai, Jianguo Ma, Bo Fu, Ming Li, Jing Zhong, Lijun Xu, Xunming Ji   +13 more
wiley   +1 more source

The Sobolev-type equations of the second order with the relatively dissipative operator pencils

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
Of concern is the Cauchy problem for the Sobolev-type equation of the second order. We introduce the definition of relatively dissipative operator pencils, generalize the notion of dissipativity and relative dissipativity of operators.
O. Tsyplenkova, A. A. Zamyshlyaeva
doaj   +3 more sources

A Physics Constrained Machine Learning Pipeline for Young's Modulus Prediction in Multimaterial Hyperelastic Cylinders Guided by Contact Mechanics

Advanced Intelligent Discovery, EarlyView.
A physics‐guided machine learning framework estimates Young's modulus in multilayered multimaterial hyperelastic cylinders using contact mechanics. A semiempirical stiffness law is embedded into a custom neural network, ensuring physically consistent predictions. Validation against experimental and numerical data on C.
Christoforos Rekatsinas, Panagiotis Krokidas, Vasileios Vavourakis, Clara Essmann, George Giannakopoulos   +4 more
wiley   +1 more source