S I P
... In Sec. 1.3 we will introduce the concept of localized structures which is the main topic of Part II. There we will study the dynamics of localized structures in a Kerr cavity. In particular, in Chapters 5, 6 and 8 we will study the bifurcations that give rise to the different dynamical behaviors di ...
... In Sec. 1.3 we will introduce the concept of localized structures which is the main topic of Part II. There we will study the dynamics of localized structures in a Kerr cavity. In particular, in Chapters 5, 6 and 8 we will study the bifurcations that give rise to the different dynamical behaviors di ...
A simulation of electromigration-induced transgranular slits Weiqing Wang and Z. Suo
... mass diffusion driven by the electron wind, known as electromigration, poses persistent reliability problems.1,2 Figure 1 contrasts a wide and a narrow interconnect. In a wide line, grain boundaries form a continuous network. Diffusion on grain boundaries is orders of magnitude faster than diffusion ...
... mass diffusion driven by the electron wind, known as electromigration, poses persistent reliability problems.1,2 Figure 1 contrasts a wide and a narrow interconnect. In a wide line, grain boundaries form a continuous network. Diffusion on grain boundaries is orders of magnitude faster than diffusion ...
A Novel Boundary Element Method Using Surface Conductive Absorbers for Full-Wave
... with unbounded surfaces, such as infinitely extended channels, a typical problem in photonics. Fig. 1 is a generic photonic device diagram, with finite-length waveguide channels whose free ends, representing the device’s optical ports, are terminated by absorbers. In order to accurately simulate and ...
... with unbounded surfaces, such as infinitely extended channels, a typical problem in photonics. Fig. 1 is a generic photonic device diagram, with finite-length waveguide channels whose free ends, representing the device’s optical ports, are terminated by absorbers. In order to accurately simulate and ...
Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. (A special case are ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.) PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model.PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow, elasticity, or quantum mechanics. These seemingly distinct physical phenomena can be formalised similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems. PDEs find their generalisation in stochastic partial differential equations.