In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different ...
A fundamental question for any PDE is the existence and uniqueness of a solution for given boundary conditions. For nonlinear equations these questions are in general very hard: for example, the hardest part of Yau's solution of the Calabi conjecture was the proof of existence for a Monge–Ampere equation. The open problem of existence (and smoothness) of solutions to the Navier–Stokes equations is one of the seven Millennium Prize problems in mathematics.
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, THEIR SOLUTIONS, AND PROPERTIES by Prasanna Bandara Athesis submitted in partial fulfillment of the requirements for the degree of Master of Science in Mathematics Boise State University December 2015
Many analytical and numerical methods have been proposed to obtain solutions for nonlinear PDEs with fractional derivatives such as local fractional variational ...
The research program will focus on the mathematical discipline nonlinear partial differential equation. Differential equations have their origin in the quest to describe nature by mathematics, and these equations are perfect tools to describe physical phenomena that …
Description. Nonlinear Partial Differential Equations: A Symposium on Methods of Solution is a collection of papers presented at the seminar on methods of solution for nonlinear partial differential equations, held at the University of Delaware, Newark, Delaware on December 27-29, 1965. The sessions are divided into four Symposia: Analytic ...
They include many important nonlinear partial differential equations problems, as well as some ordinary nonlinear differential equations in which such phenomena as relaxation oscillations occur. Boundary layer problems are usually closely tied in with applications. Their theories have not yet received very general or exhaustive develop
Nonlinear partial differential equations (PDEs) is a vast area. and practition- ers include applied mathematicians. analysts. and others in the pure and ap- plied sciences. This introductory text on nonlinear partial differential equations evolved from a graduate course I have taught for many years at the University of Nebraska at Lincoln.
A nonlinear partial differential equation of first order in the unknown function z of independent variables x and y is one which can not be put in the form ...