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math.AP2024
A gradient system based on anisotropic monochrome image processing with orientation auto-adjustment
Harbir Antil, Daiki Mizuno, Ken Shirakawa +1
This paper is devoted to the mathematical analysis of a system of pseudo-parabolic partial differential equations governed by an energy functional, associated with anisotropic mono…
math.AP2024
Weak Solution to KWC Systems of Pseudo-Parabolic Type
Daiki Mizuno
In this paper, a class of systems of pseudo-parabolic PDEs is considered. These systems (S) are derived as a pseudo-parabolic dissipation system of Kobayashi--Warren-…
math.AP2024
Well-posedness of a Pseudo-Parabolic KWC System in Materials Science
Harbir Antil, Daiki Mizuno, Ken Shirakawa
The original KWC-system is widely used in materials science. It was proposed in [Kobayashi et al, Physica D, 140, 141--150 (2000)] and is based on the phase field model of planar g…