Special Issue Editorial “Solvability of Nonlinear Equations with Parameters: Branching, Regularization, Group Symmetry and Solutions Blow-Up”

Nikolai Sidorov

doi:10.3390/sym14020226

Abstract

Nonlinear dynamical models with parameters are at the heart of natural science, and they serve as essential instrument to analyze and solve various appealing problems in engineering areas [...]

Highlights

Many critical processes in fluid dynamics, thermodynamics, and space plasma physics are modeled using the cutting-edge theory of nonlinear differential-operator equations
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations
The main objective of this Special Issue is to survey the relations between the various kinds of differential-operators, kinetic equations, and bifurcation theory from a constructive point of view

Summary

Introduction

Many critical processes in fluid dynamics, thermodynamics, and space plasma physics are modeled using the cutting-edge theory of nonlinear differential-operator equations. The main objective of this Special Issue is to survey the relations between the various kinds of differential-operators, kinetic equations, and bifurcation theory from a constructive point of view. The branching theory of nonlinear parameter-dependent equations enabled various essential applications in natural sciences and engineering over the course of the last hundred years.

Results

Conclusion