Singular limit of a nonlinear fourth order inhomogeneous equation
Cristina Pocci
TL;DR
This paper employs matched asymptotic expansions to analyze the singular limit of a nonlinear fourth order inhomogeneous equation, deriving a geometric motion as the limiting behavior.
Contribution
It introduces a novel application of matched asymptotic expansions to connect a nonlinear fourth order inhomogeneous PDE with geometric motion in the singular limit.
Findings
Derived the geometric motion as the singular limit of the PDE
Established the validity of the asymptotic expansion method for this class of equations
Provided insights into the behavior of solutions near the singular limit
Abstract
In this paper we use the method of matched asymptotic expansions in order to obtain a geometric motion as the singular limit of a nonlinear fourth order inhomogeneous equation.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Differential Equations and Numerical Methods · Stability and Controllability of Differential Equations