Initial-boundary value problem for generalized Stokes equations

Vsevolod Alekseevič Solonnikov

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 2, page 505-519
  • ISSN: 0862-7959

Abstract

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The paper is concerned with the solvability theory of the generalized Stokes equations arising in the study of the motion of non-Newtonian fluids.

How to cite

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Solonnikov, Vsevolod Alekseevič. "Initial-boundary value problem for generalized Stokes equations." Mathematica Bohemica 126.2 (2001): 505-519. <http://eudml.org/doc/248875>.

@article{Solonnikov2001,
abstract = {The paper is concerned with the solvability theory of the generalized Stokes equations arising in the study of the motion of non-Newtonian fluids.},
author = {Solonnikov, Vsevolod Alekseevič},
journal = {Mathematica Bohemica},
keywords = {Stokes system; non-Newtonian fluids; Schauder estimates; Stokes system; non-Newtonian fluids; Schauder estimates},
language = {eng},
number = {2},
pages = {505-519},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Initial-boundary value problem for generalized Stokes equations},
url = {http://eudml.org/doc/248875},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Solonnikov, Vsevolod Alekseevič
TI - Initial-boundary value problem for generalized Stokes equations
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 2
SP - 505
EP - 519
AB - The paper is concerned with the solvability theory of the generalized Stokes equations arising in the study of the motion of non-Newtonian fluids.
LA - eng
KW - Stokes system; non-Newtonian fluids; Schauder estimates; Stokes system; non-Newtonian fluids; Schauder estimates
UR - http://eudml.org/doc/248875
ER -

References

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  4. 10.1098/rsta.1994.0017, Phil. Trans. Roy. Soc. London, ser. A 346 (1994), 173–190. (1994) Zbl0807.35109MR1278243DOI10.1098/rsta.1994.0017
  5. Weak and Measure-Valued Solutions to Evolution Partial Differential Equations, Chapman and Hall, 1996. (1996) MR1409366
  6. 10.1007/s000210050011, J. Math. Fluid Mech. 1 (1999), 235–281. (1999) Zbl0961.35106MR1738752DOI10.1007/s000210050011
  7. Estimates of solutions of nonstationary linearized Navier-Stokes equations, Trudy Math. Inst. Steklov 70 (1964), 213–317. (1964) MR0171094
  8. On the differentiability properties of the solution of the first boundary value problem for nonstationary system of the Navier-Stokes equations, Trudy Mat. Inst. Steklov 73 (1964), 221–291. (1964) MR0172014
  9. Estimates of solutions of nonstationary Navier-Stokes equations, Zap. Nauchn. Semin. L.O.M.I. 38 (1973), 153–231. (1973) MR0415097
  10. On Green’s matrices for elliptic boundary value problems I, Trudy Mat. Inst. Steklov 110 (1970), 107–145. (1970) MR0289935
  11. On the solvability of generalized Stokes equations in the spaces of periodic functions, Preprint No 10, Max-Planck Institut für die Mathematik in den Naturwissenschaften (2000), 1–20. (2000) Zbl1037.35060MR1896933

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