Petra Macková

Petra Macková
Comenius University Bratislava · Department of Applied Mathematics and Statistics

Master of Science

About

2
Publications
58
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
2
Citations
Introduction
Skills and Expertise
Mathematical Analysis
Mathematical Modelling
Nonlinear Partial Differential Equations
Partial Differential Equations
Ordinary Differential Equations

Publications

Publications (2)
Anisotropic and isotropic persistent singularities of solutions of the fast diffusion equation
Preprint
  • Nov 2021
The aim of this paper is to study a class of positive solutions of the fast diffusion equation with specific persistent singular behavior. First, we construct new types of solutions with anisotropic singularities. Depending on parameters, these solutions either solve the original equation in the distributional sense, or they are not locally integra...
Moving singularities for nonlinear diffusion equations in two space dimensions
Article
  • Mar 2020
We construct solutions with prescribed moving singularities for equations of porous medium type in two space dimensions. This complements a previous study of the problem where only dimensions higher than two were considered.