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.
DOI :
10.21136/AM.1978.103768
Classification :
35A05, 35Q10, 35Q30, 47H15, 76D05
Mots-clés : evolution inequalities of a modified Navier-Stokes type; evolution problem
Mots-clés : evolution inequalities of a modified Navier-Stokes type; evolution problem
@article{10_21136_AM_1978_103768, author = {M\"uller, Manfred and Naumann, Joachim}, title = {On evolution inequalities of a modified {Navier-Stokes} type. {II}}, journal = {Applications of Mathematics}, pages = {397--407}, publisher = {mathdoc}, volume = {23}, number = {6}, year = {1978}, doi = {10.21136/AM.1978.103768}, mrnumber = {0508544}, zbl = {0452.35100}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103768/} }
TY - JOUR AU - Müller, Manfred AU - Naumann, Joachim TI - On evolution inequalities of a modified Navier-Stokes type. II JO - Applications of Mathematics PY - 1978 SP - 397 EP - 407 VL - 23 IS - 6 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103768/ DO - 10.21136/AM.1978.103768 LA - en ID - 10_21136_AM_1978_103768 ER -
%0 Journal Article %A Müller, Manfred %A Naumann, Joachim %T On evolution inequalities of a modified Navier-Stokes type. II %J Applications of Mathematics %D 1978 %P 397-407 %V 23 %N 6 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103768/ %R 10.21136/AM.1978.103768 %G en %F 10_21136_AM_1978_103768
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. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103768/
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