Boundary value problems with oblique derivative

Boundary Value Problems in Transport with Mixed and Oblique Derivative Boundary Conditions, Steady State and Transient Solutions

Abstract-The transport of heat or mass from a stationary mechum mto a Aowmg Ruld leads generally to boundary value problems m which the boundary con&ion (on the temperature or concentrahon) specdies the obhque denvahve or the mlxed second denvatlve with respect to the normal and tangentral dlrectlons on the soled surface[ I. 2) Such boundary value problems are generally nonselfadlomt It IS show...

Boundary Value Problems in Transport with Mixed or Oblique Derivative Boundary Conditions-i Formulation of Equivalent Integral Equations

When an mtemally heated body IS cooled along Its boundary by a penpherally flowmg flmd that IS contmually replemshed from an external source, a dlfferentml energy balance on the boundary leads to unfamiliar boundary condltlons Such boundary condltlons Involve mued second denuatrues with respect to spatial vmables, which under addltlonal assumptions (such as an mhmte heat transfer coefficient) l...

On the Oblique Boundary Value Problems for Monge-ampère Equations

(1.3) β(x) · ν(x) > 0, φu(x, u) ≤ −γ0(x) < 0. Here ν is the unit outer normal to ∂Ω, γ0 is a positive function on ∂Ω, and Dβ = β · ∇. The existence and uniqueness of the classical convex solution of the equations (1.1) and (1.2) under some suitiable conditions on f, φ and ν was studied by P.L. Lions, N. Trudinger and J. Urbas [9]. They applied the method of continuity plus a priori estimates to...

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

L2-transforms for boundary value problems

In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.