Results 41 to 50 of about 61,934 (233)
Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation
Mathematical Methods in the Applied Sciences, EarlyView.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
Well-Posedness Theory for Aggregation Sheets [PDF]
Communications in Mathematical Physics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
von Brecht, James H. +1 more
openaire +2 more sources
Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani +2 more
wiley +1 more source
Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems
Fixed Point Theory and Applications, 2009 We study generalized Levitin-Polyak well-posedness of vector equilibrium problems with functional constraints as well as an abstract set constraint.
Lai-Jun Zhao, Yan Wang, Jian-Wen Peng
doaj +2 more sources
Duality for Evolutionary Equations With Applications to Null Controllability
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source
Almost optimal local well-posedness for modified Boussinesq equations
Electronic Journal of Differential Equations, 2020 In this article, we investigate a class of modified Boussinesq equations, for which we provide first an alternate proof of local well-posedness in the space $(H^s\cap L^\infty)\times (H^s\cap L^\infty)(\mathbb{R})$ ($s\geq 0$) to the one obtained by
Dan-Andrei Geba, Bai Lin
doaj
Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation
AIMS Mathematics, 2021 The task of our work is to consider the initial value problem based on the model of the generalized Kadomtsev-Petviashvili I equation and prove the local well-posedness in an anisotropic Gevrey spaces and then global well-posedness which improves the ...
Aissa Boukarou +3 more
doaj +1 more source
UNCONDITIONAL WELL-POSEDNESS FOR WAVE MAPS [PDF]
Journal of Hyperbolic Differential Equations, 2012 We prove a uniqueness theorem for solutions to the wave map equation in the natural class, namely (u, ∂tu) ∈ C([0, T); Ḣd/2) × C1([0, T); Ḣd/2-1) in dimension d ≥ 4. This is achieved by estimating the difference of two solutions at a lower regularity level. In order to reduce to the Coulomb gauge, one has to localize the gauge change in suitable cones,
Planchon, Fabrice, Masmoudi, Nader
openaire +2 more sources
Invariant Measures and Global Well Posedness for the SQG Equation [PDF]
, 2021 Juraj Földes, Mouhamadou Sy
openalex +1 more source
On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley +1 more source