688 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Bogolyubov Institute for Theoretical PhysicsUA16 papers
- National Academy of Sciences of UkraineUA14 papers
- Taras Shevchenko National University of KyivUA11 papers
- Institute of MathematicsPL7 papers
- University of NottinghamGB4 papers
- F.D. Ovcharenko Institute of Biocolloidal ChemistryUA3 papers
- Institute for Nuclear ResearchRU3 papers
- Leibniz Institute for Solid State and Materials ResearchDE3 papers
- Leiden UniversityNL3 papers
- University of ConnecticutUS3 papers
- AGH University of KrakowPL2 papers
- Bielefeld UniversityDE2 papers
5 papers · 1 filter
Symmetries and exact solutions of a reaction-diffusion system arising in population dynamics
Philip Broadbridge, Roman Cherniha, Vasyl' Davydovych +1
A system of two cubic reaction-diffusion equations for two independent gene frequencies arising in population dynamics is studied. Depending on values of coefficients, all possible…
An age-structured diffusive model for epidemic modelling: Lie symmetries and exact solutions
Roman Cherniha, Vasyl' Davydovych
A new age-structured diffusive model for the mathematical modelling of epidemics is suggested. The model can be considered as a generalization of two models suggested earlier for t…
Analysis of a Mathematical Model for Fluid Transport in Poroelastic Materials in 2D Space
Roman Cherniha, Vasyl' Davydovych, Joanna Stachowska-Pietka +1
A mathematical model for the poroelastic materials (PEM) with the variable volume is developed in multidimensional case. Governing equations of the model are constructed using the…
Balancing Performance and Efficiency in Zero-shot Robotic Navigation
Dmytro Kuzmenko, Nadiya Shvai
We present an optimization study of the Vision-Language Frontier Maps (VLFM) applied to the Object Goal Navigation task in robotics. Our work evaluates the efficiency and performan…
Multi-Meta-RAG: Improving RAG for Multi-Hop Queries using Database Filtering with LLM-Extracted Metadata
Mykhailo Poliakov, Nadiya Shvai
The retrieval-augmented generation (RAG) enables retrieval of relevant information from an external knowledge source and allows large language models (LLMs) to answer queries over…