arXiv subjects

Ya-nan Sun

Publications and source records attributed to Ya-nan Sun.

3 recordsLinked to original sources

arXiv2026

Polynomial Stability of an Elastic Thin Plate on Non-Smooth Domain

This paper studies the polynomial stabilization of an elastic plate with dynamical boundary conditions on a non-smooth domain. To deal with the possible loss of solution regularity induced by boundary singularities, we formulate the problem as a precise variational framework. We prove that for domains with sufficiently small corner angles, the system retains the polynomial decay rate under standard geometric control conditions. In cases where larger corner angles lead to a significant regularity loss, we show that polynomial stability is recovered by introducing a feedback control at the corners.

math.AP↗

arXiv2026

The Stability of a Coupled Degenerate Wave System Under Boundary Control

In this paper, we investigate a system composed of two degenerate wave equations which are connected at one point. By introducing some inequalities on the weighted spaces and employing the frequency domain method, we prove that the system is polynomially stable,which depends on the degree of the degeneracy.

math.AP↗

arXiv2026

Polynomial Stability of a Type II Porous Thermoelastic System with Local Memory Damping

This paper studies the asymptotic behavior of a one-dimensional Type II porous thermoelastic system with a conservative porous structure and local memory damping applied to the elastic component. Using frequency domain resolvent estimates, we prove polynomial decay of the associated semigroup. Our results clarify the effect of local memory damping and provide a unified framework for partially damped porous thermoelastic systems

math.AP↗