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84 sonuçtan 1-3 arası sonuçlar
Sayfa 53
The liquid is assumed to be barotropic ; the surface tension forces on the free
boundary are taken into account . We are going to prove ... We assume that at the
initial moment t = 0 the liquid fills a known domain N2 C R3 . We denote by r the ...
The liquid is assumed to be barotropic ; the surface tension forces on the free
boundary are taken into account . We are going to prove ... We assume that at the
initial moment t = 0 the liquid fills a known domain N2 C R3 . We denote by r the ...
Sayfa 173
5 Since M2 , ( f ; QT ) C M2 , a ( f ; Qr ) if 0 < a < y , there is no loss of generality in
assuming that condition ( 4 . ... of the Navier - Stokes equations in the cylinder Qt
near the part I [ 0 , T ) of its lateral surface ; we assume that conditions ( 2 .
5 Since M2 , ( f ; QT ) C M2 , a ( f ; Qr ) if 0 < a < y , there is no loss of generality in
assuming that condition ( 4 . ... of the Navier - Stokes equations in the cylinder Qt
near the part I [ 0 , T ) of its lateral surface ; we assume that conditions ( 2 .
Sayfa 429
There is no loss of generality in assuming that tr H ( t ) = 1 for tE I ( this can always
be arranged by an appropriate change of the independent variable in ( 0 . 1 ) . ... (
right ) end of I is regular ( and only in this case ) , we assume that a c I ( be I ) .
There is no loss of generality in assuming that tr H ( t ) = 1 for tE I ( this can always
be arranged by an appropriate change of the independent variable in ( 0 . 1 ) . ... (
right ) end of I is regular ( and only in this case ) , we assume that a c I ( be I ) .
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algebraic analytic apply assume basis boundary bounded called chain homotopy closed coefficients complex computation condition connection Consequently consider constant construction contains continuous convex corresponding defined definition deformation denote determined differential domain element equal equation equivalence estimate example exists extension fact field finite fixed formula function given identity implies inequality integral intersection introduce invariant inverse isomorphism Lemma linear Math Mathematical matrix measure metric Moreover natural normal Observe obtain Obviously operator orientation particular periodic positive present problem projective Proof properties Proposition prove regular relation Remark respectively result ring satisfies scheme sequence singular smooth solutions space standard statement Subsection suffices Suppose takes Theorem theory transformation true twists unique vector weight zero