The Stefan PDE system is a representative model for thermal phase change phenomena,
such as melting and solidification, arising in numerous science and engineering processes …

The so-called Stefan system describes the dynamical model of the liquid–solid phase
change in materials ranging from water and ice in the polar caps to metal casting and …

Thermoacoustic systems are self-oscillating due to the fact that a constant input (eg, fuel rate
in gas-turbine combustors) yields an asymptotically oscillatory response. This behavior …

Ice melts into water in a hot environment. Conversely, water freezes into ice in a cold
environment. These phenomena are generally called “phase changes” between the liquid …

This paper studies the global feedback stabilization problem of a system with two pistons
and the area between them containing a viscous compressible fluid (gas) modeled by the …

Thermoacoustic instability phenomena often encounter in gas turbine combustors,
especially for the premixed combustor design, with many possible detrimental results. As a …

This paper proposes an adaptive scheme for the boundary stabilization of thermoacoustic
instability in the Rijke tube system using the backstepping method. The mathematical model …

Systems modeled by partial differential equations (PDEs) are at least as ubiquitous as
systems that are by nature finite-dimensional and modeled by ordinary differential equations …

Thermoacoustic instability has always been a critical concern of low pollution combustion
chambers and combustion components of ground gas turbines. It is also a severe challenge …

This article proposes a novel control algorithm of a thermal phase-change process and
shows its experimental verification using paraffin as a phase-change material (PCM). The …