Results 21 to 30 of about 199 (130)
Two Scale FE‐FFT‐Based Modeling of Cancellous Bone
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Osteoporosis is characterized by a loss of volume percentage of cortical bone, which reduces the loading capacity of this organ and increases its likelihood for fractures. The disease has the highest prevalence of any bone disease worldwide, with a particularly high incidence among the elderly.
Mischa Blaszczyk +3 more
wiley +1 more source
Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain Ω⊂Rd$\Omega \subset \mathbb {R}^d$ with d⩾3$d\geqslant 3$, we consider the Robin–Laplacian torsional rigidity τα(Ω)$\tau _\alpha (\Omega)$ with negative boundary parameter α$\alpha$ and we show that sharp inequalities for τα(Ω)$\tau _\alpha (\Omega)$ hold if ...
Nunzia Gavitone +2 more
wiley +1 more source
"On Approximation of the Solutions to Partial Differential Equations in Finance" [PDF]
This paper proposes a general approximation method for the solutions to second-order parabolic partial differential equations (PDEs) widely used in finance through an extension of Léandre's approach(Léandre (2006,2008)) and the Bismut identiy(e.g ...
Akihiko Takahashi, Toshihiro Yamada
core +2 more sources
, 2008 In this article, we present a simplified means of pricing Asian options using partial differential equations (PDEs). We first provide a concise derivation of the well-known similarity reduction and exact Laplace transform solution.
Jeffrey Dewynne (20237019) +1 more
core +2 more sources
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley +1 more source
NAVIER–STOKES EQUATIONS ON THE β-PLANE [PDF]
, 2012 Mathematical analysis has been undertaken for the vorticity formulation of the two dimensional Navier–Stokes equation on the β-plane with periodic boundary conditions. This equation describes the flow of fluid near the equator of the Earth. The long time
Al-Jaboori, Mustafa Ali Hussain +1 more
core
Stable factorization of the Calderón problem via the Born approximation
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
wiley +1 more source
Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 7068-7081, 15 May 2026.ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
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Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude
, 2019 International audienceStability criteria have been derived and investigated in the last decades for many kinds of periodic traveling wave solutions to Hamiltonian PDEs. They turned out to depend in a crucial way on the negative signature - or Morse index
Rodrigues, Luis Miguel, +3 more
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Engineering Reports, Volume 8, Issue 5, May 2026.A multiphysics finite element model predicts the long‐term corrosion behavior of hydroxyapatite–ionic liquid coatings on Ti‐6Al‐4V implants in simulated body fluid. Simulations reveal precipitation‐driven Ca–P passive layer growth that suppresses chloride transport, reduces corrosion current by over two orders of magnitude, and significantly enhances ...
Kamel A. Saleh +8 more
wiley +1 more source