ABOUT CHANGE IN THE STABILITY CHARACTER OF THE TRIVIAL SOLUTION AT THE TRANSITION FROM A MODEL WITH CONCENTRATED PARAMETERS TO A MODEL WITH DISTRIBUTED PARAMETERS
DOI:
https://doi.org/10.52575/2687-0959-2020-52-4-255–261Keywords:
model with lumped parameters, model with distributed parameters, diffusion models, stationary solution, stability.Abstract
We consider the question of refining the stability conditions for the trivial stationary solution for replacing the
lumped model with a distributed model by adding terms, simulating diffusion processes. In some cases, a trivial solution that
is unstable in models without diffusion terms turns out to be stable in models with diffusion terms.
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