## Journals

- Advances in Mathematics of Communications
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- Discrete & Continuous Dynamical Systems - A
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- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
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- Journal of Dynamics & Games
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### Open Access Journals

CPAA

We study stability of subsonic phase boundary solutions in the
Suliciu model for phase transitions under tri-linear structural
relation. With the help of Laplace transform, the evolution of
perturbation is described by a linear dynamical system, and
explicit solution is obtained in terms of inverse Laplace
transform. Stability is established through energy estimates. The
relaxed system is also discussed.

DCDS-B

A finite-difference scheme with positivity-preserving and
entropy-decreasing properties for a nonlinear fourth-order
parabolic equation arising in quantum systems and interface
fluctuations is derived. Initial-boundary value problems, the
Cauchy problem and a rescaled equation are discussed. Based on
this scheme we elucidate properties of the long-time asymptotics
for this equation.

## Year of publication

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