4 papers · 1 filter
Dimension reduction for a coupled electro-elastic saddle-point problem at finite strains
Kateryna Buryachenko, Annegret Glitzky, Matthias Liero +1
We study the finite deformation of a thin, elastically heterogeneous sheet subject to electrostatic coupling. The interaction between mechanics and electrostatics is formulated as…
Potential analysis of multi layers optic fiber models
Kateryna Buryachenko, Yuliya Kudrych
We study pointwise potential estimates of the weak nonnegative solutions for the double phase elliptic equations with variables powers of nonlinearity: p(x), q(x). We discuss also…
Qualitative properties of the fourth-order hyperbolic equations
K. Buryachenko
We investigate the qualitative properties of the weak solutions to the boundary value problems for the hyperbolic fourth-order linear equations with constant coefficients in the pl…
Maximum principle for the weak solutions of the Cauchy problem for the fourth-order hyperbolic equations
Kateryna Buryachenko
We investigate the maximum principle for the weak solutions to the Cauchy problem for the hyperbolic fourth-order linear equations with constant complex coefficients in the plane b…