Laplacian growth in the half plane
D. Vasiliev, A. Zabrodin
TL;DR
This paper explores a specific version of the Laplacian growth problem in the half plane, presenting self-similar exact solutions that enhance understanding of interface evolution without surface tension effects.
Contribution
It introduces self-similar exact solutions for Laplacian growth in the half plane, advancing analytical understanding of zero surface tension interface dynamics.
Findings
Derived families of self-similar solutions
Enhanced analytical understanding of zero surface tension growth
Contributed to mathematical modeling of interface evolution
Abstract
We investigate a version of the Laplacian growth problem with zero surface tension in the half plane and find families of self-similar exact solutions.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Theoretical and Computational Physics · Mathematical Dynamics and Fractals