Results 121 to 130 of about 173,975,381 (346)

On integrable conservation laws [PDF]

, 2014
We study normal forms of scalar integrable dispersive (non necessarily Hamiltonian) conservation laws via the Dubrovin-Zhang perturbative scheme. Our computations support the conjecture that such normal forms are parametrised by infinitely many arbitrary
Moro, Antonio, Arsie, Alessandro, Lorenzoni, Paolo   +2 more
core   +1 more source

Implementation of the E×B and Grad‐B Drift in the EMC3 Code and Verification Using the Method of Manufactured Solutions

Contributions to Plasma Physics, EarlyView.
ABSTRACT Effective management of particle and power exhaust is essential for fusion reactor operation, requiring accurate 3D modeling of divertor physics. The EMC3 code is a well‐established Monte Carlo tool for plasma transport in stellarator edge regions, but until now lacked E×B$$ E\times B $$ and diamagnetic drifts.
Ruben De Wolf, Felix Reimold, Wouter Dekeyser, Yuhe Feng, Giovanni Samaey, Martine Baelmans   +5 more
wiley   +1 more source

Non-intrusive tensor reconstruction for high dimensional random PDEs [PDF]

, 2017
This paper examines a completely non-intrusive, sample-based method for the computation of functional low-rank solutions of high dimensional parametric random PDEs which have become an area of intensive research in Uncertainty Quantification (UQ).
Schneider, Reinhold, Neumann, Johannes, Eigel, Martin, Wolf, Sebastian   +3 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

Second Order Analysis for Bang-Bang Control Problems of PDEs

SIAM Journal of Control and Optimization, 2012
In this paper, we derive some sufficient second order optimality conditions for control problems of partial differential equations (PDEs) when the cost functional does not involve the usual quadratic term for the control or higher nonlinearities for it ...
E. Casas
semanticscholar   +1 more source

”New Connections between dynamical systems and Hamiltonian PDEs”

, 2010
This is a course of 8 hours on Hamiltonian PDEs: main examples, Nash-Moser IFT, tame estimates of the inverse linearzied operator, application to NLS and ...
BERTI, MASSIMILIANO
core  

SDE Based Regression for Linear Random PDEs

, 2017
A simulation based method for the numerical solution of PDEs with random coefficients is presented. By the Feynman--Kac formula, the solution can be represented as conditional expectation of a functional of a corresponding stochastic differential ...
Bayer, Christian, Anker, Felix, Schoenmakers, John G. M., Marcel Ladkau, John Schoenmakers, Johannes Neumann, Martin Eigel, Felix Anker, Christian Bayer, Neumann, Johannes, Eigel, Martin, Ladkau, Marcel   +11 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

Backward error analysis for multisymplectic discretizations of Hamiltonian PDEs

, 2005
Several recently developed multisymplectic schemes for Hamiltonian PDEs have been shown to preserve associated local conservation laws and constraints very well in long time numerical simulations.
Islas, A. L., Schober, C. M., C.M. Schober, A.L. Islas   +3 more
core   +2 more sources

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