The nonlinear PDEs consist of a heat equation with the Joule heating as a source and a current conservation equation with temperature-dependent electrical conductivity.
In order to get these second-order error estimates, the Joule heating source is used in a changed equivalent form.
There were different TG curves for unprepared and calcined Magnetitum (Cishi) samples on heating.
Compound 3 exhibited the enchased texture of a smectic liquid crystal from 209.4°C to 219.5°C on heating, while 2 exhibited a liquid crystalline phase from 87.4 to 83.2°C on cooling.
In particular, the differential thermal analysis curves for the decomposition of CeO2 nanocrystalline precursor were measured at different heating rates in air by a thermal analyzer (NETZSCH STA 449C, Germany).
As applications, the wave equation on?+ × ?+ and the heat equation in a semi-infinite rod are considered in detail.
In a much cited article, Yau  proved that when the Ricci curvature is bounded uniformly below, then the only bounded solution to the heat equation ?tμ=Δμ on [0, ∞) × M which vanishes at t=0 is the one which vanishes evarywhere.
Well-posedness of a semilinear heat equation with weak initial data
In the first part the initial value problem (IVP) of the semilinear heat equation with initial data in is studied.
For the analogs of the heat and wave equation, we give algorithms for approximating the solution, and display the results of implementing these algorithms.
Based on the numerical simulation results, the spatial effects of the ionosphere, mainly consisting of the change on electron density (ED) and electron temperature (ET), heated by the high frequency (HF) pump wave have been analyzed quantitatively.
The poplar wood samples were impregnated with the modifiers and heated to prepare UF-SiO2-wood composites.
An experimental study on the natural convection heat transfer on a horizontal downward facing heated surface in a water gap was carried out under atmospheric pressure conditions.
The results show that the buoyancy force acts as a resistance force for natural convection heat transfer on a downward facing horizontal heated surface in a confined space.
A numerical study of helium-heated inorganic membrane reformer coupling to HTGR
When the reheating temperature is 575°C and the holding time is 60 min for AZ91D alloy, and 597°C and 90 min for Al-6Si-2Mg (wt.%) alloy, the semisolid forging process can be successfully implemented.
The temperature of the reheating of its parent body did not rise above 500°C.
We found a condition on the reheating temperature under which the relic remnants of primordial black holes had been formed by now.
The increase in black hole mass due to accretion from the surrounding radiation after reheating is taken into account.
In this work, a smart cure cycle with cooling, polymerization and reheating was devised to nearly completely eliminate thermal residual stresses in the bonding layer of the co-cure bonded hybrid structure.