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Temperature distributions in rotating ﬂows
A symmetric dual theorem for nonlinear programs
11 other sections not shown
analytic applied approximation arbitrary assume asymptotic axis boundary conditions boundary layer Chapter coefficients coeﬂicients components computed consider constant continuous function convergence coordinates corresponding curve cylinder deﬁned deformation deformation theory denote derivatives determined differential equations displacement eigenvalue elastic elasticity tensor exists ﬁeld ﬁnd ﬁnite ﬁrst ﬁrst order ﬁrst term ﬁxed ﬂow ﬂuid follows formulas frequency Galerkin method given heat heat equation Hence Hencky-Nadai inﬁnite inner bound integral equations interval iteration Lemma linear Math mathematical matrix Mech method monogenic functions motion nonlinear obtained ordinary differential equations oscillating paper parameter partial differential equations phase plane Plastic polynomial positive deﬁnite problem proof region relation respect revised manuscript received satisﬁed shell shown solution space speciﬁc strain stress stress-strain Substituting symmetric temperature tensor theorem theory tion unique values variable vector velocity viscoelastic viscous yields zeros of f