Layer potentials in boundary value problems and aerodynamics
Tutor / directorMas Blesa, Albert
Document typeBachelor thesis
Rights accessOpen Access
On this Bachelor's Thesis we apply the method of layer potentials on two different contexts. On the first part of this work we will prove some important properties of the single and double layer potentials for the Laplacian on smooth domains and we will use them to prove uniqueness and existence of solution for the Dirichlet and Neumann problems (both exterior and interior). On the second part we use the method of the layer potentials to look for an approximate solution for the flow of air around a very thin wing and we use the solution found to compute the approximate force exerted over the wing.