Results 71 to 80 of about 86,877,915 (235)

Multi‐factor coupling effects in hydraulic fracturing of laminated shale: Experimental insights and physics‐informed neural network‐driven optimization

Deep Underground Science and Engineering, EarlyView.
This study establishes a multi‐factor coupling framework for predicting breakdown pressure in laminated shale by integrating experimental hydraulic fracturing tests, physics‐informed neural networks (PINNs), and Sobol sensitivity analysis. It reveals how differential stress, the bedding dip angle, and the injection rate interact to influence fracture ...
Tao Wang, Guoyao Xu, Liyuan Liu, Yao Zhang, Sitao Zhu, Hongyang Chu, Kaikai Zhao   +6 more
wiley   +1 more source

The Perturbed Chen–Lee–Liu Equation: Diverse Optical Soliton Solutions and Other Wave Solutions

Advances in Mathematical Physics
The objective of the present study is to extract the optical soliton solutions (OSSs) of the perturbed Chen–Lee–Liu equation by exerting three techniques, which are the extended Wang’s direct mapping method, tanh/coth function method and the Subequation ...
Kang-Jia Wang
doaj   +1 more source

Exact soliton solutions, chaotic dynamics, and high-precision simulations for the modified complex Ginzburg–Landau equation [PDF]

AIP Advances
This study presents a unified framework for the modified complex Ginzburg–Landau (CGL) equation, addressing key gaps in traditional research, such as the neglect of coupling between fourth-order dispersion and Kerr nonlinearity, as well as improper ...
Zexian Liu, Peng Guo, Jianming Qi, Guangyang Wang   +3 more
doaj   +1 more source

A direct method for the numerical solution of optimization problems with time-periodic PDE constraints [PDF]

, 2011
In der vorliegenden Dissertation entwickeln wir auf der Basis der Direkten Mehrzielmethode eine neue numerische Methode fur Optimalsteuerungsprobleme (OCPs) mit zeitperiodischen partiellen Differentialgleichungen (PDEs). Die vorgeschlagene Methode zeichnet sich durch asymptotisch optimale Skalierung des numerischen Aufwandes in der Zahl der ortlichen ...
openaire   +1 more source

Existence of weak quasi-periodic solutions for a second order Hamiltonian system with damped term via a PDE approach

Electronic Journal of Qualitative Theory of Differential Equations, 2016
Summary: In this paper, we investigate the existence of weak quasi-periodic solutions for the second order Hamiltonian system with damped term: \[ \ddot{u}(t)+q(t)\dot{u}(t)+D W(u(t))=0, \qquad t\in \mathbb R,\tag{HSD} \] where \(u:\mathbb R\to \mathbb R^n\), \(q:\mathbb R\to \mathbb R\) is a quasi-periodic function, \(W:\mathbb R^n\to \mathbb R\) is ...
Zhang, Xingyong, Wang, Liben
openaire   +3 more sources

On computing inner-outer factorizations of periodic systems [PDF]

, 2013
A numerically reliable state space algorithm is proposed for computing inner-outer factorizations of causal periodic descriptor systems. The main computational ingredients are the computation of a special condensed Kronecker-like form of periodic ...
Varga, Andreas, Andreas Varga
core   +1 more source

Cilostazol in patients with heart failure and preserved ejection fraction—The CLIP‐HFpEF trial

ESC Heart Failure, Volume 12, Issue 2, Page 1437-1446, April 2025.
• Cilostazol is an oral PDE‐3 inhibitor that may have advantageous effects in heart failure with preserved ejection fraction (HFpEF). • Cilostazol significantly improved short‐term heart failure‐related health status scores (KCCQ‐12) and NT‐proBNP levels when compared to placebo.
Norman Aiad, Jeanne du Fay de Lavallaz, Michael J. Zhang, Thanat Chaikijurajai, Bo Ye, Prabhjot S. Nijjar, Julie A. Lahiri, Cindy M. Martin, Tamas Alexy, Markus Meyer   +9 more
wiley   +1 more source

Inherited metabolic epilepsies–established diseases, new approaches

Epilepsia Open, EarlyView.
Abstract Inherited metabolic epilepsies (IMEs) represent the inherited metabolic disorders (IMDs) in which epilepsy is a prevailing component, often determining other neurodevelopmental outcomes associated with the disorder. The different metabolic pathways affected by individual IMEs are the basis of their rarity and heterogeneity.
Itay Tokatly Latzer, Phillip L. Pearl
wiley   +1 more source

Rigorous numerics for PDEs with indefinite tail: existence of a periodic solution of the Boussinesq equation with time-dependent forcing

, 2015
We consider the Boussinesq PDE perturbed by a time-dependent forcing. Even though there is no smoothing effect for arbitrary smooth initial data, we are able to apply the method of self-consistent bounds to deduce the existence of smooth classical periodic solutions in the vicinity of 0.
Czechowski, Aleksander, Zgliczyński, Piotr   +1 more
openaire   +3 more sources

On solving periodic Riccati equations [PDF]

, 2008
Numerically reliable algorithms to compute the periodic non-negative definite stabilizing solutions of the periodic differential Riccati equation (PRDE) and discrete-time periodic Riccati equation (DPRE) are proposed. For the numerical solution of PRDEs,
A. Varga, Varga, Andreas
core   +1 more source