Geodesic
On evolution inequalities of a modified Navier-Stokes type. II
Applications of Mathematics, Tome 23 (1978) no. 6, pp. 397-407
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The present part of the paper continues the study of the abstract evolution inequality from the first part. Theorem 1 states the existence and uniqueness of a weak solution to the evolution inequality under consideration. The proof is based on the method of approximation of the weak solution by a sequence of strong solutions. Theorem 2 yields two regularity results for the strong solution.
The present part of the paper continues the study of the abstract evolution inequality from the first part. Theorem 1 states the existence and uniqueness of a weak solution to the evolution inequality under consideration. The proof is based on the method of approximation of the weak solution by a sequence of strong solutions. Theorem 2 yields two regularity results for the strong solution.
DOI : 10.21136/AM.1978.103768
Classification : 35A05, 35Q10, 35Q30, 47H15, 76D05
Keywords: evolution inequalities of a modified Navier-Stokes type; evolution problem 
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Müller, Manfred; Naumann, Joachim. On evolution inequalities of a modified Navier-Stokes type. II. Applications of Mathematics, Tome 23 (1978) no. 6, pp. 397-407. doi: 10.21136/AM.1978.103768

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[3] Gröger K.: Regularitätsaussagen für Evolutionsgleichungen mit stark monotonen Operatoren. Math. Nachr. 67 (1975), 21-34. | DOI | MR

[4] Müller M., Naumann J.: On evolution inequalities of a modified Navier-Stokes type, I. Apl. Mat. 23 (1978), 174-184. | MR

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