Results 71 to 80 of about 87,373,027 (240)

Discrete Fundamental Solution Preconditioning for Hyperbolic Systems of PDE

, 2003
We present a new preconditioner for the iterative solution of linear systems of equations arising from discretizations of systems of first order partial differential equations (PDEs) on structured grids. Such systems occur in many important applications, including compressible fluid flow and electormagnetic wave propagation.
Brandén, Henrik, Holmgren, Sverker, Sundqvist, Per   +2 more
openaire   +1 more source

Numerical simulation study on the evolution of the temperature field and frozen wall in fractured rock mass

Deep Underground Science and Engineering, EarlyView.
The evolution of the temperature field and frozen wall under different fracture conditions was examined by an artificial ground freezing‐based thermal‐hydraulic coupled model. It was observed that fracture inclination affects the interaction extent of freezing pipes and fracture, while phase transition extent is the dominant factor for heat transfer in
Chenyi Zhang, Tingting Luo, Tao Zhang, Tao Han, Xiaodong Zhao, Haipeng Li, Yanfei Ma, Faxing Zhang, Madhusudhan Bangalore Narasimha Murthy, Weihao Yang   +9 more
wiley   +1 more source

Advanced physics-informed neural networks for nonlinear partial differential equations: machine learning, gradient-enhanced and extended approach

Boundary Value Problems
Nonlinear partial differential equations (NLPDEs) are fundamental in describing various physical and engineering processes. In this study, two advanced deep learning frameworks the gradient-enhanced physics-informed neural network (gPINN) (Yu et al.
Syed T. R. Rizvi, Ibtehal Alazman, Syed O. Abbas, Aly R. Seadawy   +3 more
doaj   +1 more source

Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation [PDF]

, 2014
We prove optimal lower bounds for the growth of the energy over balls of minimizers to the vectorial Allen-Cahn energy in two spatial dimensions, as the radius tends to infinity. In the case of radially symmetric solutions, we can prove a stronger result
Sourdis, Christos
core  

Integrable viscous conservation laws [PDF]

, 2015
We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that such normal forms
Moro, Antonio, Arsie, Alessandro, Lorenzoni, Paolo   +2 more
core   +1 more source

Research progress and current status of dynamic wave propagation characteristics in rock mass: A review

Deep Underground Science and Engineering, EarlyView.
This review elucidates the velocity–dispersion–attenuation coupling mechanisms of wave propagation in rock masses, compares six representative models, and reveals how pressure, temperature, mineral composition, and anisotropy jointly control dynamic responses in complex geological media.
Jiajun Shu, Tao Li, Ruiqi Yuan, Yue Li, Bingni Wu, Bo Liu, Zhengding Deng, Galindo Rubén, Fausto Molina‐Gómez   +8 more
wiley   +1 more source

Fundamental solutions, transition densities and the integration of Lie symmetries [PDF]

, 2009
In this paper we present some new applications of Lie symmetry analysis to problems in stochastic calculus. The major focus is on using Lie symmetries of parabolic PDEs to obtain fundamental solutions and transition densities.
Mark Craddock, Craddock, M, Craddock, Mark   +2 more
core   +1 more source

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

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]

, 2015
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian, Moro, A., Antonio Moro, Klein, C, Moro, Anotnio, Grava, T., Dubrovin, Boris, Boris Dubrovin, Dubrovin, B., Moro, Antonio, Tamara Grava, Klein, C., Grava, Tamara, Christian Klein   +13 more
core   +1 more source

Myocardial inflammation is associated with impaired mitochondrial oxidative capacity in ischaemic cardiomyopathy

ESC Heart Failure, Volume 12, Issue 2, Page 1246-1255, April 2025.
Abstract Aims Myocardial inflammation and impaired mitochondrial oxidative capacity are hallmarks of heart failure (HF) pathophysiology. The extent of myocardial inflammation in patients suffering from ischaemic cardiomyopathy (ICM) or dilated cardiomyopathy (DCM) and its association with mitochondrial energy metabolism are unknown.
Julius Borger, Elric Zweck, Constanze Moos, Patrick Horn, Fabian Voß, Heinz‐Peter Schultheiss, Jacob Eifer Møller, Udo Boeken, Hug Aubin, Artur Lichtenberg, Malte Kelm, Michael Roden, Amin Polzin, Ralf Westenfeld, Julia Szendroedi, Daniel Scheiber   +15 more
wiley   +1 more source