3 papers
math.AP2008
Existence and behavior of asymmetric traveling wave solutions to thin film equation
Roman M. Taranets
We proved the existence and uniqueness of a traveling wave solution to the thin film equation with a Navier slip condition at the liquid-solid interface. We obtain explicit lower a…
math.AP2008
Finite speed of propagations of the electromagnetic field in nonlinear isotropic dispersive mediums
Yuliya V. Namlyeyeva, Roman M. Taranets
We propose some modification of Maxwell's equations describing mediums which electric and magnetic properties are changed essentially after interaction with outer electromagnetic f…
math.AP2007
Euler equation for incompressible non-Newtonian fluids: finite speed of propagations and asymptotic behavior of weak solutions
Roman Taranets, Yuliya Namlyeyeva
We investigate multidimensional model for incompressible non-Newtonian fluids. Using method of energy estimates we prove the property of finite speed of propagations of the solutio…