Continuous dependence on the time and spatial geometry for the navier-stokes equations

References

• Crooke , P.S. and Payne , L.E. 1984 . Continuous dependence on geometry for the backward heat equation . Math. Meth. in the Appl. Sci , 6 : 433 – 448 .
   Google Scholar
• Knops , R.J. and Payne , L.E. 1969 . Continuous data dependence for the equations of classical elastodynamics . Proc. Camb. Phil. Soc , 66 : 481 – 491 .
   Google Scholar
• Payne , L.E. 1975 . Improperly posed problems in partial differential equations . Regional Conference Series in Applied Math , 22
   Google Scholar
• Payne , L.E. 1987 . On geometric and modeling perturbations in partial differential equations , In Proceedings of Conference on Non-Classical Continuum Mechanics: Abstract Techniques and Applications .
   Google Scholar
• Persens , J. 1986 . On stabilizing ill-posed problems for partial differential equations under perturbations of the geometry of the domain , Thesis : Cornell University .
   Google Scholar
• Sigillito , V.G. 1977 . Explicit a priori inequalities with applications to the boundary value problems , Pitman Publishing .
   Google Scholar
• Song , J.C. Continuous dependence on the initial data , viscosity and body force for the Navier-Stokes equations. submitted for publication .
   Google Scholar