  This paper deals with the mathematical analysis and numerical simulation of a
new nonlinear ablation system modeling radiofrequency ablation phenomena in
cardiac tissue and takes into account the phenomena of viscous energy
dissipation and electric field. The model consists of a coupled thermistor and
the incompressible Navier-Stokes equations that describe the evolution of
temperature, velocity and potential in cardiac tissue. Based on Schauder's
fixed-point theory, we establish the global existence of the solution in two-
and three-dimensional space. Moreover, we prove the uniqueness of the solution
under some additional conditions on the data and the solution. Finally, we
discuss some numerical results for the validation of the proposed model using
the finite element method.
