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Some Thoughts on the Near-Future Digital Mathematics Library

Bouche, Thierry (2008)

Towards Digital Mathematics Library. Birmingham, United Kingdom, July 27th, 2008

The mathematicians’ Digital mathematics library (DML) summarises the generous project that all mathematics ever published should end up in digital form so that it would be more easily referenced, accessed, used. This concept was formulated at the very beginning of this century, and yielded a lot of international activity that culminated around years 2002–2005. While it is estimated that a substantial part of the existing math literature is already available in some digital format, nothing looking...

Spherically symmetric solutions to a model for interface motion by interface diffusion

Zhu, Peicheng (2013)

Applications of Mathematics 2013

The existence of spherically symmetric solutions is proved for a new phase-field model that describes the motion of an interface in an elastically deformable solid, here the motion is driven by configurational forces. The model is an elliptic-parabolic coupled system which consists of a linear elasticity system and a non-linear evolution equation of the order parameter. The non-linear equation is non-uniformly parabolic and is of fourth order. One typical application is sintering.

Steady and unsteady 2D numerical solution of generalized Newtonian fluids flow

Keslerová, Radka, Kozel, Karel (2012)

Applications of Mathematics 2012

This article presents the numerical solution of laminar incompressible viscous flow in a branching channel for generalized Newtonian fluids. The governing system of equations is based on the system of balance laws for mass and momentum. The generalized Newtonian fluids differ through choice of a viscosity function. A power-law model with different values of power-law index is used. Numerical solution of the described models is based on cell-centered finite volume method using explicit Runge–Kutta...

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