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We investigate the linear well-posedness for a class of three-phase boundary motion problems and perform some numerical simulations. In a typical model, three-phase boundaries evolve under certain evolution laws with specified normal velocities. The boundaries meet at a triple junction with appropriate...
[ 9 , definition 3.47] to construct endpoint manifold curves. a retraction r is a smooth map from the tangent bundle \(t\mathscr {m}\) to the manifold defined in a neighborhood of the origin of each tangent space. letting \(r_x\) denote the restriction of r onto \(t_x\mathscr {...
In this paper, we introduce a class of stochastic neural networks with fractional Brownian motion (fBm) and Poisson jumps. We also concern mean-square dissipativity of numerical methods applied to a class of stochastic neural networks with fBm and jumps. The conditions under which the underlying ...