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Müller, Manfred ; Naumann, Joachim
On evolution inequalities of a modified Navier-Stokes type. I. (English). Aplikace matematiky, vol. 23 (1978), issue 3, pp. 174-184
MSC: 35Q10, 35Q30, 35R20, 47H15, 49J40 | MR 0482433 | Zbl 0424.35072 | DOI: 10.21136/AM.1978.103743
Keywords:
existence and regularity of solutions; boundary value problems; viscous incompressible fluid; modified Navier-Stokes equations; evolution inequalities; Faedo-Galerkin approximation
Summary:
The paper present an existence theorem for a strong solution to an abstract evolution inequality where the properties of the operators involved are motivated by a type of modified Navier-Stokes equations under certain unilateral boundary conditions. The method of proof rests upon a Galerkin type argument combined with the regularization of the functional.
Related articles:
On evolution inequalities of a modified Navier-Stokes type. II
On evolution inequalities of a modified Navier-Stokes type. III
References:
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