4 citations · 9 across the 11 of their papers we have counts for
12 papers
Exponential Decay of Solutions to a Fluid-Plate Model with Small Initial Data
Mario Bukal, Igor Kukavica, Linfeng Li +1
We consider a three-dimensional fluid-structure interaction problem coupling the incompressible Navier-Stokes equations in a time-dependent domain with a square-root damped plate e…
A global existence result on weak solutions for the 3D Navier-Stokes-plate system with no contact
Mario Bukal, Igor Kukavica, Linfeng Li +1
We consider the three-dimensional fluid-structure interaction system modeling a system consisting of a viscous incompressible fluid and an elastic plate forming its moving upper bo…
Improved equilibration rates to self-similarity for strong solutions of a thin-film and related evolution equations
Mario Bukal
This paper investigates the asymptotic behavior of strong solutions to a family of nonlinear fourth-order evolution equations on the real line, with particular focus on the thin-fi…
A no-contact result for a plate-fluid interaction system in dimension three
Mario Bukal, Igor Kukavica, Linfeng Li +1
We address the fluid-structure interaction between a viscous incompressible fluid and an elastic plate forming its moving upper boundary in three dimensions. The fluid is described…
The concavity of generalized entropy powers
Mario Bukal
In this note we introduce a new family of entropy powers which are related to generalized entropies, called Sharma-Mittal entropies, and we prove their concavity along diffusion pr…
Justification of a nonlinear sixth-order thin-film equation as the reduced model for a fluid -- structure interaction problem
Mario Bukal, Boris Muha
Starting from a nonlinear 2D/1D fluid-structure interaction problem between a thin layer of a viscous fluid and a thin elastic structure, on the vanishing limit of the relative flu…
A review on rigorous derivation of reduced models for fluid-structure interaction systems
Mario Bukal, Boris Muha
In this paper we review and systematize the mathematical theory on justification of sixth-order thin-film equations as reduced models for various fluid-structure interaction system…
Well-posedness and convergence of a numerical scheme for the corrected Derrida-Lebowitz-Speer-Spohn equation using the Hellinger distance
Mario Bukal
In this paper we construct a unique global in time weak nonnegative solution to the corrected Derrida-Lebowitz-Speer-Spohn equation, which statistically describes the interface flu…
Rigorous derivation of a linear sixth-order thin-film equation as a reduced model for thin fluid -- thin structure interaction problems
Mario Bukal, Boris Muha
We analyze a linear 3D/3D fluid-structure interaction problem between a thin layer of a viscous fluid and a thin elastic plate-like structure with the aim of deriving a simplified…
Derivation of homogenized Euler-Lagrange equations for von Karman rod
M. Bukal, M. Pawelczyk, I. Velcic
In this paper we study the effects of simultaneous homogenization and dimension reduction in the context of convergence of stationary points for thin nonhomogeneous rods under the…
On the simultaneous homogenization and dimension reduction in elasticity and locality of -closure
Mario Bukal, Igor Velcic
On the example of linearized elasticity we provide a framework for simultaneous homogenization and dimension reduction in the setting of linearized elasticity as well as non-linear…
Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation
Mario Bukal, Etienne Emmrich, Ansgar Jüngel
Structure-preserving numerical schemes for a nonlinear parabolic fourth-order equation, modeling the electron transport in quantum semiconductors, with periodic boundary conditions…