Concepedia

Stability analysis for Allen–Cahn type equation associated with the total variation energy

Ken Shirakawa, Masato Kimura

Nonlinear Analysis · 2004 · 19 citations · 17 references

DOI

Concepts

References

17

A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening

Samuel M. Allen, John W. Cahn · Acta Metallurgica · 1979 · 3.7K citations

, , +14

Modeling and numerical simulations of dendritic crystal growth

Ryo Kobayashi · Physica D Nonlinear Phenomena · 1993 · 1.4K citations

, , +12

Progress in Nonlinear Differential Equations and their Applications

Amandine Aftalion · HAL (Le Centre pour la Communication Scientifique Directe) · 2006 · 1.3K citations

, , +11

The gradient theory of phase transitions and the minimal interface criterion

Luciano Modica · Archive for Rational Mechanics and Analysis · 1987 · 997 citations

, , +11

An analysis of a phase field model of a free boundary

Gunduz Caginalp · Archive for Rational Mechanics and Analysis · 1986 · 786 citations

, , +11