Results 81 to 90 of about 29,223 (165)

Existence of Weak Solutions for a Degenerate Goursat‐Type Linear Problem

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 15, Page 14334-14341, October 2025.
ABSTRACT For a generalization of the Gellerstedt operator with mixed‐type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem.
Olimpio Hiroshi Miyagaki   +2 more
wiley   +1 more source

Effective Macroscopic Equations for Biological Fluid and Nutrients' Transport in Vascularized Tumors Growing Via Proliferation and Chemotaxis

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13285-13299, 30 September 2025.
ABSTRACT This paper presents a system of partial differential equations designed to model fluid and nutrient transport within the growing tumor microenvironment. The fluid phase, representing both cells and extracellular fluids flowing within the interstitial space, is assumed to be intrinsically incompressible, so that growth can be modeled as a ...
Francesca Ballatore   +2 more
wiley   +1 more source

Generalized φ‐Pullback Attractors in Time‐Dependent Spaces: Application to a Nonautonomous Wave Equation With Time‐Dependent Propagation Velocity

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13456-13474, 30 September 2025.
ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan   +3 more
wiley   +1 more source

Efficient and Realistic Brain Simulation: A Review and Design Guide for Memristor‐Based Approaches

open access: yesAdvanced Materials Technologies, Volume 10, Issue 17, September 4, 2025.
Memristor‐based emulation of Hodgkin‐Huxley neuron models is investigated, by defining the ideal device characteristics needed for accurate ion‐channel representation and reviewing existing works targeting memristive replication of biological realistic neural behavior.
Lennart Paul Liong Landsmeer   +5 more
wiley   +1 more source

Assessment and Comparative Study of Free and Commercial Numerical Software Packages for Lithium‐Ion Battery Modeling

open access: yesAdvanced Theory and Simulations, Volume 8, Issue 9, September 2025.
This study evaluates the simulation capabilities of lithium‐ion battery (LIB) electrochemical simulation software packages. The benchmark simulation results reveal the impacts of parameter sensitivity to solver performance and stability. The guidelines to troubleshooting common solver failures at high current rates lowers the steep learning curve to ...
Kenneth C. Nwanoro   +2 more
wiley   +1 more source

The porous medium equation: Large deviations and gradient flow with degenerate and unbounded diffusion

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1609-1655, September 2025.
Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
wiley   +1 more source

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1656-1702, September 2025.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli   +2 more
wiley   +1 more source

MHD Flow Dynamics of Brinkman‐Type EO‐Based MoS2 Nanofluid Over a Rotatory Disk: Numerical Insights Into Cross‐Diffusion, Hall Current, and Reactive Transport

open access: yesEngineering Reports, Volume 7, Issue 9, September 2025.
This study models MHD flow of Brinkman‐type EO‐based MoS2 nanofluid over a rotatory disk with Hall current, cross‐diffusion, and reactive transport. Numerical results reveal the effects of key parameters on flow, heat, and mass transfer in porous rotating systems.
B. Prabhakar Reddy   +3 more
wiley   +1 more source

Adapting Reading Measures From English to Meetei Mayek: An Exploratory Item Response Theory Approach

open access: yesInfant and Child Development, Volume 34, Issue 5, September/October 2025.
ABSTRACT The main aim of this adaptation study was to construct measures of word reading and related skills in Meetei Mayek, a written script of the common language of Manipur in northeast India. Seven widely used measures in English for assessing phonological processing, word reading, and vocabulary were adapted into Meetei Mayek.
Gairan Pamei   +2 more
wiley   +1 more source

Homogeneous Multigrid for Hybrid Discretizations: Application to HHO Methods

open access: yesNumerical Methods for Partial Differential Equations, Volume 41, Issue 5, September 2025.
ABSTRACT We prove the uniform convergence of the geometric multigrid V‐cycle for hybrid high‐order (HHO) and other discontinuous skeletal methods. Our results generalize previously established results for HDG methods, and our multigrid method uses standard smoothers and local solvers that are bounded, convergent, and consistent.
Daniele A. Di Pietro   +4 more
wiley   +1 more source

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