All developments in mathematics and computer science facilitate development of industrial applications. This e-book approaches the subject in a profoundly interdisciplinary manner. The spectrum of subjects covered in this e-book includes mathematics computer science materials science and industrial applications. Specifically the e-book elaborates on mathematical models of phase-field transitions. Nonlinear parabolic systems represent the core of this book.
Mathematically speaking it presents methods related to existence uniqueness and regularity of solution fractional steps analysis of some boundary optimal control problems governed by phase-field transition system conceptual algorithms to compute the approximate solution and boundary control.