Fieldless methods for the simulation of stationary and nonstationary induction heating
Fifth-order numerical methods for heat equation subject to a boundary integral specification.
Finite difference method for the parabolic problem with delta function
Fourier problem with bounded Baire data
The Fourier problem on planar domains with time moving boundary is considered using integral equations. Solvability of those integral equations in the space of bounded Baire functions as well as the convergence of the corresponding Neumann series are proved.
Free boundary regularity in Stefan type problems
Regularity results of free boundaries for Stefan type problems are discussed. The influence that curvature may have on the behavior of the free boundary is studied and various open problems are also mentioned.
Functions continuous in the fine topology for the heat equation
Functions of four variables which satisfy both the heat equation and the Laplace equation in three variables - II
Further results on sliding manifold design and observation for a heat equation
This article presents new extensions regarding a nonlinear control design framework that is suitable for a class of distributed parameter systems with uncertainties (DPS). The control objective is first formulated as a function of the distributed system state. Then, a control is sought such that the set in the state space where this relation is true forms an integral manifold reachable in finite time. The manifold is called a Sliding Manifold. The Sliding Mode controller implements a theoretically...