45 citations · 47 across the 4 of their papers we have counts for
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On the passage from nonlinear to linearized viscoelastodynamics
Barbora Benešová, Malte Kampschulte, Martin Kružík
The equations of linearized viscoelastodynamics in Kelvin-Voigt rheology are rigorously derived from a nonlinear model that satisfies the time-dependent frame indifference in the s…
Non-interpenetration of rods derived by -limits
Barbora Benešová, Daniel Campbell, Stanislav Hencl +1
Ensuring non-interpenetration of matter is a fundamental prerequisite when modeling the deformation response of solid materials. In this contribution, we thoroughly examine how thi…
A variational approach to hyperbolic evolutions and fluid-structure interactions
Barbora Benešová, Malte Kampschulte, Sebastian Schwarzacher
We introduce a two time-scale scheme which allows to extend the method of minimizing movements to hyperbolic problems. This method is used to show the existence of weak solutions t…
Weak lower semicontinuity of integral functionals and applications
Barbora Benešová, Martin Kružík
Minimization is a reoccurring theme in many mathematical disciplines ranging from pure to applied ones. Of particular importance is the minimization of integral functionals that is…