Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of solutions for a model of microwave heating   This paper is concerned with a system of differential equations related to a
circuit model for microwave heating, complemented by suitable initial and
boundary conditions. A RCL circuit with a thermistor is representing the
microwave heating process with temperature-induced modulations on the electric
field. The unknowns of the PDE system are the absolute temperature in the body,
the voltage across the capacitor and the electrostatic potential. Using
techniques based on monotonicity arguments and sharp estimates, we can prove
the existence of a weak solution to the initial-boundary value problem.

23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio