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Stability of stationary solutions for the glioma growth equations with radial or axial symmetries
Author(s) -
Polovinkina Marina V.,
Debbouche Amar,
Polovinkin Igor P.,
David Sergio A.
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7194
Subject(s) - mathematics , homogeneous space , nonlinear system , symmetry in biology , symmetry (geometry) , stability (learning theory) , partial differential equation , mathematical analysis , geometry , physics , quantum mechanics , machine learning , computer science
We investigate a class of nonlinear time‐partial differential equations describing the growth of glioma cells. The main results show sufficient conditions for the stability of stationary solutions for these kind of equations. More precisely, we study different spatial variables involving radial or axial symmetries. In addition, we also numerically simulate the system based on three distinct scenarios by considering symmetry across all spatial variables. The numerical results confirm the presence of possible stable states.