Join us, October 26, 27 and 28, 2022, for our new lecture series named after Vladimir Marchenko, a Ukrainian mathematician who specializes in mathematical physics. Marchenko's seminal contributions to ...

We consider a specific type of nonlinear partial differential equation (PDE) that appears in mathematical finance as the result of solving some optimization problems. We review some examples of such ...

Partial Differential Equations (PDEs) are central to both pure and applied mathematics. Any quantity which changes in space and time will satisfy certain partial differential equations because the ...

The Hardy-Littlewood-Sobolev (HLS) type system, \[ \begin{cases} (-\bigtriangleup)^{k} u = v^q, \,\,u > 0,\,\, \mbox{ in } R^n,\\ (-\bigtriangleup)^{k} v = u^p, \,\,v ...

Under the hood, multiphysics software based on the finite-element (FE) method mathematically models complex engineering and scientific problems in inductive heating, heat transfer, and ...