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math.AP2017
Mathematical properties of the Weertman equation
Marc Josien
We derive here some mathematical properties of the Weertman equation and show it is the limit of an evolution equation. The Weertman equation is a semilinear integrodifferential eq…
physics.comp-ph2017★ 5 cited
Fourier-based numerical approximation of the Weertman equation for moving dislocations
Marc Josien, Yves-Patrick Pellegrini, Frédéric Legoll +1
This work discusses the numerical approximation of a nonlinear reaction-advection-diffusion equation, which is a dimensionless form of the Weertman equation. This equation models s…