Toda and Liouville systems are central themes in mathematical physics, providing powerful frameworks for understanding integrable structures, nonlinear dynamics and geometric phenomena. Rooted in the ...

The Navier–Stokes partial differential equation was developed in the early 19th century by Claude-Louis Navier and George Stokes. It has proved its worth for modelling incompressible fluids in ...

This is the first part of a two course graduate sequence in analytical methods to solve ordinary and partial differential equations of mathematical physics. Review of Advanced ODE’s including power ...

A mathematical model is an abstract model that uses mathematical language to describe the behaviour of a system. Mathematical models are used particularly in the natural sciences and engineering ...

This is a preview. Log in through your library . Abstract We illustrate a general method, which is useful for the solution of integro-differential equations, and apply the technique to solve the ...

The course is devoted to analytical methods for partial differential equations of mathematical physics. Review of separation of variables. Laplace Equation: potential theory, eigenfunction expansions, ...

This is a preview. Log in through your library . Abstract In this paper the "backward-uniqueness property" is ascertained for a two- or three-dimensional, fluid-structure interactive partial ...

The aim of mathematical physics is to adapt concept and methods of pure mathematics to study physical problems. A student interested in mathematical physics may choose to have as a major for her/his ...