Variational resolution for some general classes of nonlinear evolutions. Part II

TL;DR

This paper extends existence theorems for broad classes of nonlinear evolution equations and demonstrates their application to various complex time-dependent systems such as Navier-Stokes and Schrödinger equations.

Contribution

It generalizes previous results to new classes of nonlinear evolutions and provides concrete examples of their application.

Findings

Existence theorems for nonlinear evolution equations

Applications to Navier-Stokes, Schrödinger, and parabolic/hyperbolic systems

Framework for analyzing complex time-dependent PDEs

Abstract

Using our results in [15], we provided existence theorems for the general classes of nonlinear evolutions. Finally, we give examples of applications of our results to parabolic, hyperbolic, Shr\"{o}dinger, Navier-Stokes and other time-dependent systems of equations.