Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit. [PDF]
Carrillo JA +3 more
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Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]
Zimmermann P.
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Singularity formation in 3D Euler equations with smooth initial data and boundary. [PDF]
Chen J, Hou TY.
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Analytical and numerical solutions of MABC fractional advection dispersion models by utilizing the modified physics informed neural networks with impacts of fractional derivative. [PDF]
Az-Zo'bi EA +8 more
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Heterogeneity-Driven Strengthening and Hardening in Heterostructured Materials: Modeling and Simulation Across Length Scales. [PDF]
Zhou C, Rohoman MM, Li N.
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In this paper we investigates the blow-up properties of the positive solutions to a porous medium equation with nonlocal reaction source and with nonlocal boundary condition, we obtain the blow-up condition and its blow-up rate ...
Zhoujin Cui, Zuodong Yang
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Stabilization of nonlocal solitons by boundary conditions
Optics Letters, 2014We discovered that boundary conditions can stabilize nonlocal solitons with an oscillatory periodic response function. These solitons are the equivalent of quadratic solitons consisting of fundamental waves and oscillatory second harmonics, which are unstable unless subject to boundary confinement.
Jing, Wang, Yiheng, Li, Qi, Guo, Wei, Hu
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Appropriate Boundary Conditions for Nonlocal Elastic Beams
Advanced Materials Research, 2013This study is concerned with the boundary conditions of elastic beams within the framework of nonlocal elasticity th eory. The general solutions of the plane stress problem are, firstly, discussed. Through which and by employing the decaying analysis technique proposed by Gregory and Wan, a set of necessary conditions on the edge-d ata, other than the ...
Xu, S. P., Xu, M. R., Wang, C. M.
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Evolution Problems with Nonlinear Nonlocal Boundary Conditions
Journal of Dynamics and Differential Equations, 2013The authors consider a nonlinear evolution problem with nonlinear nonlocal boundary conditions. They concentrate on existence results obtained by applying the degree theory for function triples with a Fredholm function developed in [the third author, Topological analysis. From the basics to the triple degree for nonlinear Fredholm inclusions.
Irene Benedetti +2 more
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