Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
wiley +1 more source
Global well-posedness for nonlinear nonlocal Cauchy problems arising in elasticity
Electronic Journal of Differential Equations, 2017 In this article, we prove global well-posedness for a family of one dimensional nonlinear nonlocal Cauchy problems arising in elasticity. We consider the equation $$ u_{tt}-\delta Lu_{xx}=\big(\beta \ast [(1-\delta)u+u^{2n+1}]\big)_{xx}\,, $$ where
Hantaek Bae, Suleyman Ulusoy
doaj
A quasinonlocal coupling method for nonlocal and local diffusion models
, 2017 In this paper, we extend the idea of "geometric reconstruction" to couple a nonlocal diffusion model directly with the classical local diffusion in one dimensional space.
Du, Qiang +3 more
core +1 more source
Comptes Rendus. Mécanique, 2018 The static and dynamic behaviour of a nonlocal bar of finite length is studied in this paper. The nonlocal integral models considered in this paper are strain-based and relative displacement-based nonlocal models; the latter one is also labelled as a peridynamic model.
openaire +1 more source
Vibration Analysis of a Unimorph Nanobeam with a Dielectric Layer of Both Flexoelectricity and Piezoelectricity. [PDF]
Materials (Basel), 2023 Naderi A +3 more
europepmc +1 more source
Nonlinear Thermal/Mechanical Buckling of Orthotropic Annular/Circular Nanoplate with the Nonlocal Strain Gradient Model. [PDF]
Micromachines (Basel), 2023 Sadeghian M, Palevicius A, Janusas G.
europepmc +1 more source
Nonlocal Strain Gradient Model for the Nonlinear Static Analysis of a Circular/Annular Nanoplate. [PDF]
Micromachines (Basel), 2023 Sadeghian M, Palevicius A, Janusas G.
europepmc +1 more source
Dynamic Stability of Nanobeams Based on the Reddy's Beam Theory. [PDF]
Materials (Basel), 2023 Huang Y, Huang R, Zhang J.
europepmc +1 more source
Free Vibrations of Bernoulli-Euler Nanobeams with Point Mass Interacting with Heavy Fluid Using Nonlocal Elasticity. [PDF]
Nanomaterials (Basel), 2022 Barretta R +3 more
europepmc +1 more source
A Review on Nonlocal Theories in Fatigue Assessment of Solids. [PDF]
Materials (Basel), 2023 Moghtaderi SH, Jedi A, Ariffin AK.
europepmc +1 more source