14 citations · 20 across the 13 of their papers we have counts for
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Variational resolution for some general classes of nonlinear evolutions. Part II
Arkady Poliakovsky
Using our results in [15], we provided existence theorems for the general classes of nonlinear evolutions. Finally, we give examples of applications of our results to parabolic, hy…
On the -limit of singular perturbation problems with optimal profiles which are not one-dimensional. Part III: The energies with non local terms
Arkady Poliakovsky
We use the technique developed in [32]-[33] to construct the upper and the lower bounds for classes of problems containing non-local terms, including problems in micromagnetics and…
On the -limit of singular perturbation problems with optimal profiles which are not one-dimensional. Part II: The lower bound
Arkady Poliakovsky
In part II we constructed the lower bound, in the spirit of - for some general classes of singular perturbation problems, with or without the prescribed differential c…
On the -limit of singular perturbation problems with optimal profiles which are not one-dimensional. Part I: The upper bound
Arkady Poliakovsky
In Part I we construct the upper bound, in the spirit of - , achieved by multidimensional profiles, for some general classes of singular perturbation problems, with or…
Variational resolution for some general classes of nonlinear evolutions. Part I
Arkady Poliakovsky
We develop a variational technique for some wide classes of nonlinear evolutions. The novelty here is that we derive the main information directly from the corresponding Euler-Lagr…