Il paradosso elettrotermico
Functional Solutions for a Plane Problem in Magnetohydrodynamics
Functional Solutions for Fluid Flows Through Porous Media
The Levy-Caccioppoli global inversion theorem is applied to prove the existence and uniqueness of functional solutions for a problem of flow of a viscous incompressible fluid in a porous medium when the viscosity and the thermal conductivity depend on the temperature. A method based on the Abel integral equation, for determining the dependence of the viscosity from the temperature is also proposed.
Voltage-Current Characteristcs of Varistors and Thermistors
The voltage-current characteristics of two classes of nonlinear resistors (varistors and thermistors) modelled as three-dimensional bodies is derived from the corresponding systems of nonlinear elliptic boundary value problems. Theorems of existence and uniqueness of solutions are presented, together with certain properties of monotonicity of the conductance.
A plane problem of incompressible magnetohydro-dynamics with viscosity and resistivity depending on the temperature
The plane flow of a fluid obeying the equations of magnetohydrodynamics is studied under the assumption that both the viscosity and the resistivity depend on the temperature. Some results of existence, non-existence, and uniqueness of solution are proved.
A simple model of thermoelectric oscillations
A system of ordinary differential equations modelling an electric circuit with a thermistor is considered. Qualitative properties of solution are studied, in particular, the existence and nonexistence of time-periodic solutions (the Hopf bifurcation).
The eddy current problem with temperature dependent permeability.
Existence and uniqueness for magnetohydrodynamic flows in pipes with viscosity dependent on the temperature.
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