M. Chugunova

activity

20082024

most citedMarangoni effects on a thin liquid film coating a sphere with axial or radial thermal gradients

42 citations · 88 across the 17 of their papers we have counts for

collaborators

Showing 2010 · math.APShow all

3 papers · 2 filters

math.AP2010★ 9 cited

Convergence to equilibrium for a thin film equation on a cylindrical surface

Almut Burchard, Marina Chugunova, Benjamin K. Stephens

The degenerate parabolic equation u_t + [u^3(u_xxx + u_x - sin x)]_x=0 models the evolution of a thin liquid film on a stationary horizontal cylinder. It is shown here that for eac…

math.AP2010

On the energy-minimizing steady states of a thin film equation

Almut Burchard, Marina Chugunova, Benjamin K. Stephens

Steady states of the thin film equation $u_{t} + [u^{3} (u_{x} xx + α^{2} u_{x} - sin (x))]_{x} = 0$ are considered on the periodic domain $Ω = (- π, π)$ . The equation defines a generalized gradient f…

math.AP2010★ 1 cited

New dissipated energy for nonnegative weak solution of unstable thin-film equations

Marina Chugunova, Roman M. Taranets

The fluid thin film equation $h_{t} = - (h^{n} h_{xxx})_{x} - a_{1} (h^{m} h_{x})_{x}$ is known to conserve mass $\int h d x$ , and in the case of $a_{1} \leq 0$ , to dissipate entropy $\int\,h^…