Overdetermined elliptic problems in physics

Boyan Sirakov (1)

1 MODAL'X - Modélisation aléatoire de Paris X

In this survey we describe several physically motivated problems in which the corresponding mathematical models lead to overdetermined elliptic boundary-value problems. Such situations appear for instance in fluid mechanics and capillarity theory, theory of elasticity, electrostatics. Our goal is to give an idea of how they have been treated mathematically.

Domaines: Equations aux dérivées partielles [math.AP]

Boyan Sirakov. Overdetermined elliptic problems in physics. 2002, pp.573. ⟨hal-00004765⟩