Giniatoulline, A. and Castro, T. (2012) On the Spectrum of Operators of Inner Waves in a Viscous Compressible Stratified Fluid. Journal of the Faculty of Science, University of Tokyo, 19, 313-323.

has been cited by the following article:

• TITLE: On the Existence and Uniqueness of Solutions for Nonlinear System Modeling Three-Dimensional Viscous Stratified Flows

  AUTHORS: Andrei Giniatoulline, Tovias Castro

  KEYWORDS: Partial Differential Equations, Sobolev Spaces, Fluid Dynamics, Stratified Fluid, Viscous Fluid

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.7, June 13, 2014

  ABSTRACT: We establish the uniqueness and local existence of weak solutions for a system of partial differential equations which describes non-linear motions of viscous stratified fluid in a homogeneous gravity field. Due to the presence of the stratification equation for the density, the model and the problem are new and thus different from the classical Navier-Stokes equations.