On evolution inequalities of a modified Navier-Stokes type. III

Manfred Müller; Joachim Naumann

Aplikace matematiky (1979)

  • Volume: 24, Issue: 2, page 81-92
  • ISSN: 0862-7940

Abstract

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This is the last from a series of three papers dealing with variational equations of Navier-Stokes type. It is shown that the theoretical results from the preceding parts (existence and regularity of solutions) can be applied to the problem of motion of a fluid through a tube.

How to cite

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Müller, Manfred, and Naumann, Joachim. "On evolution inequalities of a modified Navier-Stokes type. III." Aplikace matematiky 24.2 (1979): 81-92. <http://eudml.org/doc/15084>.

@article{Müller1979,
abstract = {This is the last from a series of three papers dealing with variational equations of Navier-Stokes type. It is shown that the theoretical results from the preceding parts (existence and regularity of solutions) can be applied to the problem of motion of a fluid through a tube.},
author = {Müller, Manfred, Naumann, Joachim},
journal = {Aplikace matematiky},
keywords = {evolution inequalities of a modified Navier-Stokes type; motion of a fluid through a tube; boundary conditions; existence; uniqueness; regularity; evolution inequalities of a modified Navier-Stokes type; motion of a fluid through a tube; boundary conditions; existence; uniqueness; regularity},
language = {eng},
number = {2},
pages = {81-92},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On evolution inequalities of a modified Navier-Stokes type. III},
url = {http://eudml.org/doc/15084},
volume = {24},
year = {1979},
}

TY - JOUR
AU - Müller, Manfred
AU - Naumann, Joachim
TI - On evolution inequalities of a modified Navier-Stokes type. III
JO - Aplikace matematiky
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 2
SP - 81
EP - 92
AB - This is the last from a series of three papers dealing with variational equations of Navier-Stokes type. It is shown that the theoretical results from the preceding parts (existence and regularity of solutions) can be applied to the problem of motion of a fluid through a tube.
LA - eng
KW - evolution inequalities of a modified Navier-Stokes type; motion of a fluid through a tube; boundary conditions; existence; uniqueness; regularity; evolution inequalities of a modified Navier-Stokes type; motion of a fluid through a tube; boundary conditions; existence; uniqueness; regularity
UR - http://eudml.org/doc/15084
ER -

References

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  1. Golovkin K. K., New model equations of the motion of a viscous fluid and their unique solvability, (Russian). Trudy Mat. Inst. Akad. Nauk SSSR, СII (1967), 29-50. (1967) MR0232570
  2. Kaniel S., On the initial value problem for an incompressible fluid with nonlinear viscosity, J. Math. Mech., 19 (1970), 681-707. (1970) Zbl0195.10801MR0253629
  3. Ladyshenskaja O. A., On new equations for describing the motion of viscous, incompressible fluids and the global solvability of their boundary value problems, (Russian). Trudy Mat. Inst. Akad. Nauk SSSR, CII (1967), 85 - 104. (1967) 
  4. Ladyshenskaja O. A., On modifications of the Navier-Stokes equations with big gradient of velocity, (Russian). Zap. Nauch. Sem. Leningr. Ot. Mat. Inst., 7 (1968), 126-154. (1968) MR0241832
  5. Ladyshenskaja O. A., Mathematical problems in the dynamics of viscous, incompressible fluids, (Russian). 2nd edition, Moscow 1970. (1970) 
  6. Lions J. L., Quelques méthodes de résolution des problèmes aux limites non linéaires, Paris 1969. (1969) Zbl0189.40603MR0259693
  7. Müller M., Naumann J., On evolution inequalities of a modified Navier-Stokes type, I, Apl. Mat. 23 (1978), 208 - 230. (1978) MR0482433
  8. Müller M., Naumann J., On evolution inequalities of a modified Navier-Stokes type, II, Apl. Mat. 23 (1978), 397-407, (1978) MR0508544
  9. Nečas J., Les méthodes directes en théorie des équations elliptiques, Prague 1967. (1967) MR0227584
  10. Prouse G., On a unilateral problem for the Navier-Stokes equations, Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat., (8) 52 (1972); Nota I: 337-342; Nota II: 467-478. (1972) Zbl0253.35067MR0342882
  11. Temam R., On the theory and numerical analysis of the Navier-Stokes equations, University of Maryland, 1973, Orsay. (1973) Zbl0273.35002

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