Results 51 to 60 of about 2,952 (173)

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2510-2531, 15 March 2026.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin, Simone Nati Poltri, Clair Poignard   +2 more
wiley   +1 more source

Well-posedness and ill-posedness of the fifth-order modified KdV equation

Electronic Journal of Differential Equations, 2008
We consider the initial value problem of the fifth-order modified KdV equation on the Sobolev spaces. $$displaylines{ partial_t u - partial_x^5u + c_1partial_x^3(u^3) + c_2upartial_x upartial_x^2 u + c_3uupartial_x^3 u =0cr u(x,0)= u_0(x ...
Soonsik Kwon
doaj  

Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces

Journal of Applied Mathematics, 2012
We consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi (1995, 1996) for a minimization problem, to a class of generalized mixed variational inequalities in Banach spaces, which includes as a special case the ...
Lu-Chuan Ceng, Ching-Feng Wen
doaj   +1 more source

Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley   +1 more source

Ghost effect from Boltzmann theory

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito, Yan Guo, Rossana Marra, Lei Wu   +3 more
wiley   +1 more source

A Class of Sixth Order Viscous Cahn-Hilliard Equation with Willmore Regularization in ℝ³

Mathematics, 2020
The main purpose of this paper is to study the Cauchy problem of sixth order viscous Cahn–Hilliard equation with Willmore regularization. Because of the existence of the nonlinear Willmore regularization and complex structures, it is difficult to obtain ...
Xiaopeng Zhao, Ning Duan
doaj   +1 more source

Local well-posedness in Lovelock gravity [PDF]

Classical and Quantum Gravity, 2014
It has long been known that Lovelock gravity, being of Cauchy-Kowalevskaya type, admits a well defined initial value problem for analytic data. However, this does not address the physically important issues of continuous dependence of the solution on the data and the domain of dependence property.
openaire   +2 more sources

Modeling Airborne Influenza in Three Dimensions

Engineering Reports, Volume 8, Issue 3, March 2026.
A novel 3D fluid dynamics model demonstrates how influenza outbreaks spread spatially via “epidemic flow.” Simulations reveal that direct contact is the dominant transmission route over aerosol spread, offering a new tool to inform targeted public health interventions and spatially‐aware risk assessment.
Daniel Ugochukwu Nnaji, Omeh Chinenye, Gabriel Chinedu Nnaji, Samuel Onuche John, Nnaemeka Stanley Aguegboh   +4 more
wiley   +1 more source

Well-posedness of KdV type equations

Electronic Journal of Differential Equations, 2012
In this work, we study the initial value problems associated to some linear perturbations of KdV equations. Our focus is in the well-posedness issues for initial data given in the L^2-based Sobolev spaces.
Xavier Carvajal, Mahendra Panthee
doaj  

A well-posedness result for an extended KdV equation

Partial Differential Equations in Applied Mathematics
Among the most interesting things Russell discovered was there is a mathematical relation between the height of the wave, the depth of the wave when water at rest and the speed at which the wave travels.
M. Berjawi, T. El Arwadi, S. Israwi
doaj   +1 more source