Obstacle problem: Mathematics, Variational Inequality, Free Boundary Problem, Mechanical Equilibrium, Solid Mechanics, Minimal Surface, Capacity of a Set, Potential Theory, Dirichlet's Energy - Softcover

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The obstacle problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to find the equilibrium position of an elastic membrane whose boundary is held fixed, and which is constrained to lie above a given obstacle. It is deeply related to the study of minimal surfaces and the capacity of a set in potential theory as well. Applications include the study of fluid filtration in porous media, constrained heating, elasto-plasticity, optimal control, and financial mathematics.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.