22 citations · 49 across the 19 of their papers we have counts for
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Backward Behavior and Determining Functionals for Chevron Pattern Equations
Varga K. Kalantarov, Habiba V. Kalantarova, Orestis Vantzos
The paper is devoted to the study of the backward behavior of solutions of the initial boundary value problem for the chevron pattern equations under homogeneous Dirichlet's bounda…
Determining functionals and finite-dimensional reduction for dissipative PDEs revisited
Varga Kalantarov, Anna Kostianko, Sergey Zelik
We study the properties of linear and non-linear determining functionals for dissipative dynamical systems generated by PDEs. The main attention is payed to the lower bounds for th…
Chevron pattern equations: exponential attractor and global stabilization
H. Kalantarova, V. Kalantarov, O. Vantzos
The initial boundary value problem for a nonlinear system of equations modeling the chevron patterns is studied in one and two spatial dimensions. The existence of an exponential a…
Asymptotic regularity and attractors for slightly compressible Brinkman-Forcheimer equations
Varga Kalantarov, Sergey Zelik
Slightly compressible Brinkman-Forchheimer equations in a bounded 3D domain with Dirichlet boundary conditions are considered. These equations model fluids motion in porous media.…
Finite-parameter feedback stabilization of original Burgers' equations and Burgers' equation with nonlocal nonlinearities
Serap Gumus, Varga K. Kalantarov
We study the problem of global exponential stabilization of original Burgers' equations and the Burgers' equation with nonlocal nonlinearities by controllers depending on finitely…
Global Behavior of Solutions to Chevron Pattern Equations
H. Kalantarova, V. Kalantarov, O. Vantzos
Considering a system of equations modeling the chevron pattern dynamics, we show that the corresponding initial boundary value problem has a unique weak solution that continuously…