69 citations · 167 across the 22 of their papers we have counts for
25 papers
Viscous Conservation Laws in 1d With Measure Initial Data
Miriam Bank, Matania Ben-Artzi, Maria E Schonbek
The one-dimensional viscous conservation law is considered on the whole line $$ u_t + f(u)_x=\eps u_{xx},\quad (x,t)\in\RR\times\overline{\RP},\quad \eps>0, $$ subject to positive…
Time decay for solutions to the Stokes equations with drift
M. Schonbek, G. Seregin
In this note, we study the behaviour of Lebesgue norms of solutions to the Cauchy problem for the Stokes system with drift , which is supposed to be a div…
Analysis of a diffuse interface model of multispecies tumor growth
Mimi Dai, Eduard Feireisl, Elisabetta Rocca +2
We consider a diffuse interface model for tumor growth recently proposed in [Y. Chen, S.M. Wise, V.B. Shenoy, J.S. Lowengrub, A stable scheme for a nonlinear, multiphase tumor grow…
Comparison of decay of solutions to two compressible approximations to Navier-Stokes equations
Cesar J. Niche, Maria E. Schonbek
In this article, we use the decay character of initial data to compare the energy decay rates of solutions to different compressible approximations to the Navier-Stokes equations.…
Stability of time-dependent Navier-Stokes flow and algebraic energy decay
Toshiaki Hishida, Maria Elena Schonbek
Let be a given time-dependent Navier-Stokes flow of an incompressible viscous fluid in the whole space (). Assume such to be small in $L^\infty(0,\infty; L^{n,\infty…
On asymptotic isotropy for a hydrodynamic model of liquid crystals
Mimi Dai, Eduard Feireisl, Elisabetta Rocca +2
We study a PDE system describing the motion of liquid crystals by means of the tensor description for the crystals coupled with the incompressible Navier-Stokes system. Using t…