Results 61 to 70 of about 2,952 (173)
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
Well-posedness and sliding mode control [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2005 Summary: Sliding mode control of ordinary differential equations is considered. A key robustness property, called approximability, is studied from an optimization point of view. It is proved that Tikhonov well-posedness of a suitably defined optimization problem is intimately related to approximability.
openaire +3 more sources
Dynamic Optimal Transport with Optimal Star‐Shaped Graphs
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT We study an optimal transport problem in a compact convex set Ω⊂Rd$\Omega \subset \mathbb {R}^d$ where bulk transport is coupled to dynamic optimal transport on a metric graph G=(V,E,l)$ \mathsf {G}= (\mathsf {V},\mathsf {E},l)$ which is embedded in Ω$\Omega$. We prove the existence of solutions for fixed graphs.
Marcello Carioni +2 more
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Stability and Instability of Time‐Domain Boundary Element Methods for the Acoustic Neumann Problem
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT This work presents a stable time‐domain boundary element method for the acoustic wave equation in three‐dimensional unbounded domains. Other formulations of time‐domain boundary element methods based on retarded potential operators are known to exhibit stability issues, which often hinder their use in industrial contexts.
Simon Schneider +4 more
wiley +1 more source
Journal of Applied Mathematics, 2012 The purpose of this paper is to investigate the problems of the well-posedness for a system of mixed quasivariational-like inequalities in Banach spaces.
L. C. Ceng, Y. C. Lin
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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
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Water Resources Research, Volume 62, Issue 3, March 2026.Abstract Assessing large‐scale pressurization at the regional scale—a possible outcome of large subsurface storage applications such as wastewater injection and geological carbon sequestration—presents significant computational challenges. These challenges are particularly pronounced when accounting for complex geologic structures with multiple ...
A. Cihan +7 more
wiley +1 more source
Well-posedness of the microwave heating problem
Discrete and Continuous Models and Applied Computational ScienceA number of initial boundary-value problems of classical mathematical physics is generally represented in the linear operator equation and its well-posedness and causality in a Hilbert space setting was established. If a problem has a unique solution and
Baljinnyam Tsangia
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Multichannel Wavefield Reconstruction With Physics‐Informed Neural Networks and Transfer Learning
Geophysical Prospecting, Volume 74, Issue 3, March 2026.ABSTRACT Multi‐component seismic data contain rich information essential for accurate subsurface imaging, but they are often sparse due to acquisition limitations and include noise. Robust interpolation techniques are therefore crucial to reconstruct missing traces and preserve wavefield integrity for reliable analysis and inversion. Thus, we propose a
Francesco Brandolin +2 more
wiley +1 more source
Levitin-Polyak Well-Posedness for Equilibrium Problems with Functional Constraints
Journal of Inequalities and Applications, 2008 We generalize the notions of Levitin-Polyak well-posedness to an equilibrium problem with both abstract and functional constraints. We introduce several types of (generalized) Levitin-Polyak well-posedness.
Teo KokLay, Long XianJun, Huang Nan-Jing
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