Results 201 to 210 of about 1,327 (253)

The Statistical-Mechanical Meaning of the Wave Function of Quantum Mechanics. [PDF]

Entropy (Basel)
Robledo A.
europepmc   +1 more source

A Unified Framework From Boltzmann Transport to Proton Treatment Planning

Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.
ABSTRACT We develop a unified stochastic–deterministic framework for proton transport in radiotherapy. The deterministic formulation is based on a Boltzmann–Fokker–Planck (BFP) equation with continuous slowing‐down, angular diffusion, and scattering terms, posed in a kinetic variational setting.
Andreas E. Kyprianou, Aaron Pim, Tristan Pryer   +2 more
wiley   +1 more source

Non-ordinary state-based peridynamics model for rock crack propagation: a combined stress-energy fracture method. [PDF]

Sci Rep
Gong B, Song Y, Zhang L, Chao W.
europepmc   +1 more source

An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley   +1 more source

Exponential stabilization and finite time blow-up in a fractional thermal piezoelectric beam with delay. [PDF]

Sci Rep
Ullah Z, Hao J, Thabet STM, Moulahi T.
europepmc   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11775-11793, 30 July 2026.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source

Spectral methods for Neural Integral Equations. [PDF]

Ric Mat
Zappala E.
europepmc   +1 more source

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12360-12378, 30 July 2026.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

Fractional modeling of nonlinear dispersive systems: on the comparative study of Whitham-Broer-Kaup equations using various derivatives. [PDF]

Sci Rep
Ahmed SA, Shah R, Mohamed A, Hassan AA, Dargail HE, Barakat HM, Yahya A.   +6 more
europepmc   +1 more source

Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei, Greta Ongaro, Alexander Hermann, Stewart A. Silling, Patrizia Trovalusci, Christian J. Cyron   +5 more
wiley   +1 more source