21 citations · 49 across the 10 of their papers we have counts for
4 papers · 2 filters
Convergence of Equilibria for Incompressible Elastic Plates in the von Kármán Regime
Marta Lewicka, Hui Li
We prove convergence of critical points of the nonlinear elastic energies of thin incompressible plates , which satisfy the von Kármán scaling:…
Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells
Peter Hornung, Marta Lewicka, Mohammad Reza Pakzad
We perform a detailed analysis of first order Sobolev-regular infinitesimal isometries on developable surfaces without affine regions. We prove that given enough regularity of the…
A local existence result for system of viscoelasticity with physical viscosity
Marta Lewicka, Piotr B. Mucha
We prove the local in time existence of the classical solutions to the system of equations of isothermal viscoelasticity with clamped boundary conditions. We deal with a general fo…
A stability result for the Stokes-Boussinesq equations in infinite 3d channels
Marta Lewicka, Mohammadreza Raoofi
We consider the Stokes-Boussinesq (and the stationary Navier-Stokes-Boussinesq) equations in a slanted, i.e. not aligned with the gravity's direction, 3d channel and with an arbitr…