Non-local control in the conduction coefficients: well posedness and convergence to the local limit
, 2019 We consider a problem of optimal distribution of conductivities in a system governed by a non-local diffusion law. The problem stems from applications in optimal design and more specifically topology optimization.
Bellido, Jose C, Evgrafov, Anton
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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
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Theoretical and Applied Mechanics Letters, 2017 Wave propagation analysis for a functionally graded nanobeam with rectangular cross-section resting on visco-Pasternak’s foundation is studied in this paper.
M. Arefi, A.M. Zenkour
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Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase-field fracture by nonlocal operator method [PDF]
, 2021 Huilong Ren +4 more
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The Eshelby tensor in nonlocal elasticity and in nonlocal micropolar elasticity [PDF]
Journal of Mechanics of Materials and Structures, 2006 Markus Lazar, Helmut Kirchner
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Stress evaluation in displacement-based 2D nonlocal finite element method
Curved and Layered Structures, 2018 The evaluation of the stress field within a nonlocal version of the displacement-based finite element method is addressed. With the aid of two numerical examples it is shown as some spurious oscillations of the computed nonlocal stresses arise at ...
Pisano Aurora Angela, Fuschi Paolo
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Vibration analysis of nanobeams subjected to gradient-type heating due to a static magnetic field under the theory of nonlocal elasticity. [PDF]
Sci Rep, 2022 Ahmad H +4 more
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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
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An iterative nonlocal residual constitutive model for nonlocal elasticity
, 2018 Recently, it was claimed that the two-phase local/nonlocal constitutive models give well-posed nonlocal field problems and eliminates the ill-posedness of the fully nonlocal constitutive models. In this study, it is demonstrated that, both, the fully nonlocal and the two-phase local/nonlocal constitutive models secrete ill-posed nonlocal boundary value
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On integral and differential formulations in nonlocal elasticity [PDF]
, 2022 Julius Kaplunov +2 more
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