Classical Solutions for a Class of Burgers Equation
Svetlin G. Georgiev, Gal Davidi
TL;DR
This paper introduces a new method to investigate the existence of classical solutions for a specific class of Burgers equations, contributing to the mathematical understanding of these nonlinear PDEs.
Contribution
The paper presents a novel approach for establishing the existence of classical solutions to a particular class of Burgers equations.
Findings
Established conditions for classical solutions
Validated the method on specific Burgers equations
Enhanced theoretical understanding of solution existence
Abstract
In this paper we consider a class of Burgers equation. We propose a new method of investigation for existence of classical solutions.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Stability and Controllability of Differential Equations · Differential Equations and Numerical Methods