Results 81 to 90 of about 36,597 (202)
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 +2 more
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 +3 more
wiley +1 more source
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 +4 more
wiley +1 more source
On well-posedness and decay of Active model B
Nonlinear AnalysisWe study the well-posedness and decay estimates of Cauchy problem for Active model B in R3. First, based on the higher-order norm estimates of solutions and the mollifier technique, we obtain the local existence of unique strong solution. Then, by using
Fengnan Liu, Tong Wu, Xiaopeng Zhao
doaj +1 more source
Local well-posedness of the EPDiff equation: A survey
Journal of Geometric Mechanics, 2017 This article is a survey on the local well-posedness problem for the general EPDiff equation. The main contribution concerns recent results on local existence of the geodesics on $\mathrm{Diff}(\mathbb{T}^{d})$ and $\mathrm{Diff}(\mathbb{R}^{d})$ when the inertia operator is a non-local Fourier multiplier.
openaire +4 more sources
Generalized quasi‐geostrophic equation in critical Lorentz–Besov spaces, based on maximal regularity
Mathematische Nachrichten, Volume 299, Issue 3, Page 637-660, March 2026.Abstract We consider the quasi‐geostrophic equation with its principal part (−Δ)α${(-\mathrm{\Delta})^{\alpha}}$ for α>1/2$\alpha >1/2$ in Rn$\mathbb {R}^n$ with n≥2$n \ge 2$. We show that for every initial data θ0∈Ḃr,q1−2α+nr$\theta _0 \in \dot{B}^{1-2\alpha + \frac{n}{r}}_{r, q}$ with 1
Hideo Kozono +2 more
wiley +1 more source
On the Boussinesq system: local well-posedness of the strong solution and inviscid limits
Boundary Value Problems, 2019 In this paper, we consider the solvability, regularity and vanishing viscosity limit of the 3D viscous Boussinesq equations with a Navier-slip boundary condition.
Lianhong Guo, Yuanfei Li, Chunjuan Hou
doaj +1 more source
Bayesian Approach to Ionospheric Elementary Current Systems Using Differentiable Basis Functions
Journal of Geophysical Research: Space Physics, Volume 131, Issue 3, March 2026.Abstract Spherical elementary current systems (SECS) have become a widely used tool to model vector fields on spherical surfaces in ionospheric data analysis. The systems were originally formulated using point sources for the divergence and curl of the fields. In this paper we present a flexible alternative formulation, showing how continuous functions
S. Käki, J. Norberg, K. Kauristie
wiley +1 more source
Local well-posedness of the inhomogeneous nonlinear Schrödinger equation with Coulomb potential
Boundary Value ProblemsIn this work, we investigate an inhomogeneous nonlinear Schrödinger equation (INLS) that includes a Coulomb-type potential. Our primary objective is to establish a local well-posedness theory within the energy space, specifically focusing on the ...
Abdulrahman F. Alharbi, Tarek Saanouni
doaj +1 more source
Dynamic Earthquake Source Inversion With Generative Adversarial Network Priors
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 3, March 2026.Abstract Dynamic earthquake source inversion consists of inferring frictional parameters and initial stress on a fault consistent with recorded seismological and geodetic data and with dynamic earthquake rupture models. In a Bayesian inversion approach, the nonlinear relationship between model parameters and data requires a computationally demanding ...
Jan Premus, Jean Paul Ampuero
wiley +1 more source