Results 31 to 40 of about 13,240 (282)
Young measures in a nonlocal phase transition problem
, 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 +5 more
core +1 more source
, 2003 We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle Eigen and Schuster ...
Winter, M +3 more
core +1 more source
Continuity and density results for a one-phase nonlocal free boundary problem [PDF]
, 2015 We consider a one-phase nonlocal free boundary problem obtained by the superposition of a fractional Dirichlet energy plus a nonlocal perimeter functional.
S. Dipierro +3 more
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Application of Rothe's method to a parabolic inverse problem with nonlocal boundary condition [PDF]
, 2022 summary:We consider an inverse problem for the determination of a purely time-dependent source in a semilinear parabolic equation with a nonlocal boundary condition. An approximation scheme for the solution together with the well-posedness of the problem
Ri, Myong-Hwan, Jo, Yong-Hyok
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Nonlinear Analysis, 2009 In this paper the eigenvalue problem for one-dimensional differential operator with nonlocal integral conditions is investigated numerically. The special cases of general problem are analyzed and hypothesis about the dependence of the spectral structure ...
S. Sajavičius, M. Sapagovas
doaj +1 more source
Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility
, 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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STUDY OF A NONLOCAL AND ISOPERIMETRIC VARIATIONAL PROBLEM ARISEN FROM A MODEL OF CHARGED DROPS [PDF]
, 2023 ope
PRADE, ADRIANO
core
Discrete Dynamics in Nature and Society, 2009 The nonlocal boundary value problem for Schrödinger equation in a Hilbert space is considered. The second-order of accuracy 𝑟-modified Crank-Nicolson difference schemes for the approximate solutions of this nonlocal boundary value problem are presented ...
Allaberen Ashyralyev, Ali Sirma
doaj +1 more source
A nonlocal concave-convex problem with nonlocal mixed boundary data
, 2018 The aim of this paper is to study a nonlocal equation with mixed Neumann and Dirichlet external conditions. We prove existence, nonexistence and multiplicity of positive energy solutions and analyze the interaction between the concave-convex nonlinearity
Dieb, Abdelrazek +2 more
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source