Results 81 to 90 of about 18,832,328 (177)

A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

Mathematische Nachrichten, Volume 299, Issue 10, Page 3015-3035, October 2026.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley   +1 more source

Well-posedness of one-dimensional Korteweg models

Electronic Journal of Differential Equations, 2006
We investigate the initial-value problem for one-dimensional compressible fluids endowed with internal capillarity. We focus on the isothermal inviscid case with variable capillarity.
Sylvie Benzoni-Gavage, Raphael Danchin, Stephane Descombes   +2 more
doaj  

On the Stochastic Regularization of 3D Euler Equations Through Random Diffusion

Universal Journal of Mathematics and Applications
In this paper, we consider 3D stochastic incompressible Euler equations perturbed by a multiplicative noise term acting as a random diffusion. By introducing a random field to the diffusion coefficient and applying the Itô integral, we show that this ...
Mohamed Toumlilin
doaj   +1 more source

Technical Feasibility of IVIM for Prostate Cancer Imaging Using High‐Amplitude Whole‐Body Gradient System With Spiral Readout and Velocity‐Compensated Diffusion Encoding

NMR in Biomedicine, Volume 39, Issue 10, October 2026.
The combination of velocity‐compensated diffusion encoding, spiral readout and strong gradients enabled high‐quality prostate IVIM imaging, offering a promising framework for the development of reliable IVIM‐based biomarkers for prostate cancer detection, characterisation and monitoring.
Malwina Molendowska, Ivan A. Rashid, Kieran Foley, Lars Mueller, Lars E. Olsson, Patrik Brynolfsson, Filip Szczepankiewicz   +6 more
wiley   +1 more source

Lagrangian flows for vector fields with gradient given by a singular integral [PDF]

, 2013
We prove quantitative estimates on ows of ordinary di erential equations with vector field with gradient given by a singular integral of an L1 function.
Crippa, Gianluca, Bouchut, Francois
core   +1 more source

Polynomial Extrapolation Techniques for Accelerating Picard Iterations With Multigrid Solvers for Nonlinear Problems in Isogeometric Analysis

Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT Vector extrapolation techniques can be highly effective when used to accelerate the convergence of fixed‐point iterative methods, such as the Picard method. In this study, we investigate the numerical solution of nonlinear problems. Specifically, we address the nonlinear eigenvalue Bratu problem and the Monge–Ampère equation using a multigrid ...
Abdellatif Mouhssine, Ahmed Ratnani, Hassane Sadok   +2 more
wiley   +1 more source

Ill-posedness for periodic nonlinear dispersive equations

Electronic Journal of Differential Equations, 2010
In this article, we establish new results about the ill-posedness of the Cauchy problem for the modified Korteweg-de Vries and the defocusing modified Korteweg-de Vries equations, in the periodic case. The lack of local well-posedness is in the sense
Jaime Angulo Pava, Sevdzhan Hakkaev
doaj  

Physics‐Constrained Variational Autoencoder for Uncertainty Quantification of Full Waveform Inversion

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 5, October 2026.
Abstract We propose a variational autoencoder framework to directly assess uncertainties in subsurface models produced by single‐ and multiparameter full waveform inversion (FWI). The new method does not require pretraining on labeled data, thus it significantly reduces computational cost and storage requirements.
Abdelrahman Elmeliegy, Mrinal K. Sen, Arnab Dhara, Jennifer Harding, Hongkyu Yoon   +4 more
wiley   +1 more source

Semiclassical limit and well-posedness of nonlinear Schrodinger-Poisson systems

Electronic Journal of Differential Equations, 2003
This paper concerns the well-posedness and semiclassical limit of nonlinear Schrodinger-Poisson systems. We show the local well-posedness and the existence of semiclassical limit of the two models for initial data with Sobolev regularity, before shocks ...
Hailiang Li, Chi-Kun Lin
doaj  

Dam Management in the Era of Climate Change

Mathematical Finance, Volume 36, Issue 4, Page 870-895, October 2026.
ABSTRACT Climate change has a dramatic impact, particularly by concentrating rainfall into a few short periods, interspersed with long dry spells. In this context, the role of dams is crucial. We consider the optimal control of a dam, where the water level must neither exceed a designated safety threshold nor fall below a minimum level to ensure ...
Cristina Di Girolami, M'hamed Gaïgi, Vathana Ly Vath, Simone Scotti   +3 more
wiley   +1 more source