Browsing NTNU Open by Author "Bendtsen, Jan Dimon"
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A heat equation for freezing processes with phase change: stability analysis and applications
Backi, Christoph Josef; Bendtsen, Jan Dimon; Leth, John; Gravdahl, Jan Tommy (Journal article, 2016)In this work, the stability properties as well as possible applications of a partial differential equation (PDE) with state-dependent parameters are investigated. Among other things, the PDE describes freezing of foodstuff, ... -
Estimation of inner-domain temperatures for a freezing process
Backi, Christoph Josef; Bendtsen, Jan Dimon; Leth, John; Gravdahl, Jan Tommy (Journal article; Peer reviewed, 2014)In this paper a state observer for a distributed parameter system (DPS) with nonconstant parameter functions is presented. The DPS describes the freezing of foodstuff in vertical plate freezers and is a nonlinear heat ... -
Stability properties of a heat equation with state-dependent parameters and asymmetric boundary conditions
Backi, Christoph Josef; Bendtsen, Jan Dimon; Leth, John; Gravdahl, Jan Tommy (Journal article; Peer reviewed, 2015)In this work the stability properties of a partial differential equation (PDE) with statedependent parameters and asymmetric boundary conditions are investigated. The PDE describes the temperature distribution inside ... -
The nonlinear heat equation with state-dependent parameters and its connection to the Burgers’ and the potential Burgers’ equation
Backi, Christoph Josef; Bendtsen, Jan Dimon; Leth, John; Gravdahl, Jan Tommy (Journal article; Peer reviewed, 2014)In this work the stability properties of a nonlinear partial differential equation (PDE) with state dependent parameters is investigated. Among other things, the PDE describes freezing of foodstuff, and is closely related ...