But even though it's a little different than
solving field equations in physics, it's an extremely satisfying career, says Handa.
Not exact matches
It can even help professionals in the
field, who need to
solve complex mathematical
equations.
They managed to
solve this
equation, and obtain relevant physical quantities that are measurable experimentally to check the validity of their solution, by employing a simple analogy with another
field, that of quantum mechanics and the solution to the famous Schrodinger
equation.
So he kept plugging his increasingly realistic assumptions into his computer and set about
solving Einstein's
field equations again and again, each time marveling at the results that came pouring out.
The framework is based on
solving nonlinear coupled ordinary and partial differential
equations that model the kinetics of the following phenomena: (1) mass transport in the electrolyte and electrode using the Nernst - Planck
equation; (2) electrical potential distribution using the Poisson
equation; (3) interfacial reactions that determine the boundary conditions or source terms (using the Butler - Volmer
equation or constant - flux conditions); and (4) evolution of the electrode / electrolyte interface using the Allen - Cahn
equation within the phase -
field modeling (PFM) approach.
The N - S
equations are technically
field equations solving for the velocity
field by writing F = ma, energy conserved, mass conserved.