Results 11 to 20 of about 61,924 (245)
Young measures in a nonlocal phase transition problem [PDF]
, 1997 A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Winter, M, Ren, X
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Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
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Experiments on Nonlocal Fluid-Flow Metamaterials. [PDF]
Adv Sci (Weinh)A nonlocal fluid‐flow metamaterial composed of standard microfluidic tubes and connectors is designed. Hence, the current of the system at one position depends on the gradient of fluid flow at many other positions, leading to unusual alternating backward and forward laminar flows of water.
Wang K, Chen Y, Wegener M.
europepmc +2 more sources
A nonlocal sinusoidal plate model for micro/nanoscale plates [PDF]
, 2014 A nonlocal sinusoidal plate model for micro/nanoscale plates is developed based on Eringen’s nonlocal elasticity theory and sinusoidal shear deformation plate theory.
Thai, Huu-Tai +3 more
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A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams [PDF]
, 2012 This paper presents a nonlocal sinusoidal shear deformation beam theory for the bending, buckling, and vibration of nanobeams. The present model is capable of capturing both small scale effect and transverse shear deformation effects of nanobeams, and ...
Thai, Huu-Tai, Vo, Thuc
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Nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2014 This paper is concerned with new boundary value problems of nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions. Our results are new in the present setting and rely on the contraction mapping principle and
Bashir Ahmad +3 more
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Asymptotic behavior of solutions of a Fisher equation with free boundaries and nonlocal term
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We study the asymptotic behavior of solutions of a Fisher equation with free boundaries and the nonlocal term (an integral convolution in space). This problem can model the spreading of a biological or chemical species, where free boundaries represent ...
Jingjing Cai +3 more
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Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility [PDF]
, 2011 We study a diffusion model of phase field type, consisting of a system of two partial differential equations of second order for the particle densities and the viscosity variable, coupled by a nonlocal drift term.
Farshbaf-Shaker, Hassan
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Frontiers in Materials, 2021 Time-dependent responses of cracked concrete structures are complex, due to the intertwined effects between creep, shrinkage, and cracking. There still lacks an effective numerical model to accurately predict their nonlinear long-term deflections.
Teng Tong +6 more
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, 2001 We introduce the notion of a ghost characteristic for nonlocal differential equations. Ghosts are essential for maintaining the validity of the Jacobi identity for the charateristics of nonlocal vector ...
Olver, Peter J. +5 more
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