Analogues of the lagrange theorem in the hydrodynamics of whirling and stratified liquids

نتاج البحث: المساهمة في مجلةمراجعة النظراء

9 اقتباسات (Scopus)

ملخص

Assertions of the type of Lagrange's theorem are presented for three new classes of flows of an ideal incompressible liquid. The rest states of a liquid which is inhomogeneous with respect to its density (continuously stratified) and located in an external field of mass forces comprise the first class. Certain whirling (rotating) flows of a liquid which is homogeneous with respect to its density belong to the second and third classes. Unlike the situations which have been studied previously, flows belonging to the second and third classes are not states of relative or absolute rest and do not possess free boundaries. At the same time the formulations and proofs of the assertions are practically repeats of one another for all three cases. The question of the existence of an analogue of Lagrange's theorem in hydrodynamics has been studied in a number of papers (/1-4/, etc.).

اللغة الأصليةEnglish
الصفحات (من إلى)559-564
عدد الصفحات6
دوريةJournal of Applied Mathematics and Mechanics
مستوى الصوت50
رقم الإصدار5
المعرِّفات الرقمية للأشياء
حالة النشرPublished - 1986

ASJC Scopus subject areas

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