Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics. Progress in Nonlinear Differential Equations and Their …

SN Antontsev, JI Díaz, S Shmarev… - Appl. Mech …, 2002 - asmedigitalcollection.asme.org
The book provides an elementary tutorial presentation on computational methods in fluid
mechanics. The authors intend this book to serve as a survey of mathematical fundamentals …

[CARTE][B] Quasi-hydrodynamic semiconductor equations

A Jüngel - 2011 - books.google.com
In this book a hierarchy of macroscopic models for semiconductor devices is presented.
Three classes of models are studied in detail: isentropic drift-diffusion equations, energy …

The thermistor problem: existence, smoothness uniqueness, blowup

SN Antontsev, M Chipot - SIAM Journal on Mathematical Analysis, 1994 - SIAM
SN ANTONTSEV AND M. CHIPOT: (1.1c) u=O onr (0, T), u(.,0)=u0, (see also [C.1], [CP], [HRS],
and [Ko]). We assume here th Page 1 SIAM J. MATH. ANAL. Vol. 25,No. 4, pp. 1128-1156, July …

Dynamic exploration of a controllable thermosensitive neuron model and its applications

QQ Shi, L Zhang, XL An, L **ong… - International Journal of …, 2022 - World Scientific
A specific functional electric component is connected to any branch of the neural circuit,
which can enhance the corresponding biological function as a smart sensor, whereas the …

Target wave in the network coupled by thermistors

X Zhang, Z Yao, Y Guo, C Wang - Chaos, Solitons & Fractals, 2021 - Elsevier
Pattern formation and synchronization stability in the network are dependent on the local
kinetics, connection type, and property of coupling channel. The coupling channels is often …

Temperature surges in current-limiting circuit devices

AC Fowler, I Frigaard, SD Howison - SIAM Journal on Applied Mathematics, 1992 - SIAM
This paper studies the problem of heat transfer in a thermistor, which is used as a switching
device in electronic circuits. The temperature field is coupled to the current flow by ohmic …

An indirect approach to the existence of quasi-optimal controls in coefficients for multi-dimensional thermistor problem

C D'Apice, U De Maio, PI Kogut - Contemporary Approaches and Methods …, 2020 - Springer
The paper studies a problem of an optimal control in coefficients for the system of two
coupled elliptic equations also known as thermistor problem which provides a simultaneous …

[PDF][PDF] On optimal and quasi-optimal controls in coefficients for multi-dimensional thermistor problem with mixed Dirichlet-Neumann boundary conditions

PI Kogut - Control and cybernetics, 2019 - bibliotekanauki.pl
In this paper we deal with an optimal control problem in coefficients for the system of two
coupled elliptic equations, also known as the thermistor problem, which provides a …

[CARTE][B] Approximation Methods in Optimization of Nonlinear Systems

PI Kogut, OP Kupenko - 2019 - books.google.com
The monograph addresses some problems particularly with regard to ill-posedness of
boundary value problems and problems where we cannot expect to have uniqueness of …

On the technique for passing to the limit in nonlinear elliptic equations

VV Zhikov - Functional Analysis and Its Applications, 2009 - Springer
We consider the problem of passing to the limit in a sequence of nonlinear elliptic problems.
The “limit” equation is known in advance, but it has a nonclassical structure; namely, it …