Geodesic
On evolution inequalities of a modified Navier-Stokes type. I
Applications of Mathematics, Tome 23 (1978) no. 3, pp. 174-184.

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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.
DOI : 10.21136/AM.1978.103743
Classification : 35Q10, 35Q30, 35R20, 47H15, 49J40
Keywords: existence and regularity of solutions; boundary value problems; viscous incompressible fluid; modified Navier-Stokes equations; evolution inequalities; Faedo-Galerkin approximation 
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     title = {On evolution inequalities of a modified {Navier-Stokes} type. {I}},
     journal = {Applications of Mathematics},
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Müller, Manfred; Naumann, Joachim. On evolution inequalities of a modified Navier-Stokes type. I. Applications of Mathematics, Tome 23 (1978) no. 3, pp. 174-184. doi : 10.21136/AM.1978.103743. http://geodesic.mathdoc.fr/articles/10.21136/AM.1978.103743/

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