Noether's theory of mechanical systems with unilateral constraints

Ｎｏｅｔｈｅｒ’ｓｔｈｅｏｒｅｍｒｅｖｅａｌｓｔｈｅｉｎｎｅｒｃｏｎｎｅｃｔｉｏｎｂｅｔｗｅｅｎｔｈｅｃｏｎｓｅｒｖａｔｉｏｎｌａｗｓａｎｄｔｈｅｄｙｎａｍｉｃａｌｓｙｍｍｅｔｒｙｏｆｄｙｎａｍｉｃａｌｓｙｓｔｅｍｓ．Ｉｎｔｈｅｒｅｃｅｎｔｔｗｅｎｔ...     

Some bounded results of θ(t)-type singular integral operators

Let B be a Banach space in UMD with an unconditional basis. The boundedness of the θ(t)-type singular integral operators in L _B ^p (R ⁿ), (1≤p<+∞) and H _B ¹ (R ⁿ) spaces are discussed. Foundation item: the Education Commission of Shandong Province (J98P51) Biography: Zhao Kai (1960-)     

The double resonances of magnetism and solid coupling of hydroelectric-generator stator system

ＩｎｔｒｏｄｕｃｔｉｏｎＮｏｗａｄａｙｓ,ｗｉｔｈｔｈｅｄｅｖｅｌｏｐｍｅｎｔｏｆｅｃｏｎｏｍｙ ,ｔｈｅｒｅｑｕｉｒｅｍｅｎｔｏｆｔｈｅｅｎｅｒｇｙｒｅｓｏｕｒｃｅｉｓｍｕｃｈｂｉｇｇｅｒｔｈａｎｉｎｔｈｅｐａｓｔｔｉｍｅ .Ｇｅｎｅｒａｔｏｒｓａｒｅｄｅｖｅｌｏｐｉｎｇｔｏｗａｒｄｓｔｈｅｌａｒｇｅｓｃａｌｅ.Ｔｈｅｈｙｄｒｏｅｌｅｃｔｒｉｃ＿ｇｅｎｅｒａｔｏｒｉｎＳａｎｘｉａｈｙｄｒｏｅｌｅｃｔｒｉｃｓｔａｔｉｏｎｂｅｌｏｎｇｓｔｏｌｉｍｉｔｅｄｃａｐａｃｉｔｙｇｅｎｅｒａｔｉｎｇｕｎｉｔ,ａｎ…     

Technical stability of nonlinear time-varying systems with small parameters

ＩｎｔｒｏｄｕｃｔｉｏｎＳｔａｂｉｌｉｔｙｐｒｏｂｌｅｍｓａｒｉｓｉｎｇｆｒｏｍｅｎｇｉｎｅｅｒｉｎｇａｐｐｌｉｃａｔｉｏｎｓａｒｅｕｓｕａｌｌｙｒｅｌａｔｅｄｔｏｃｅｒｔａｉｎｑｕａｎｔｉｔｉｅｓｔｈａｔｓｐｅｃｉｆｙｔｈｅｓｔｒｅｎｇｔｈｏｆａｄｍｉｓｓｉｂｌｅｄｉｓｔｕｒｂａｎｃｅｓａｎｄｔｈｅｌｉｍｉｔｓｏｎｄｅｖｉａｔｉｏｎｓｏｆｍｏｔｉｏｎｏｆｔｈｅｄｉｓｔｕｒｂｅｄｓｙｓｔｅｍ .Ｉｎｔｈｉｓｒｅｇａｒｄ ,ｔｈｅｃｏｎｖｅｎｔｉｏｎａｌＬｉａｐｕｎｏｖｓｔａｂｉｌｉｔｙｃｏｎｃｅｐｔ…     

Extended self-similar scaling law of multi-scale eddy structure in wall turbulence

ＩｎｔｒｏｄｕｃｔｉｏｎＭｕｃｈｗｏｒｋｈａｓｂｅｅｎｄｅｖｏｔｅｄｉｎｔｈｅｌａｓｔｆｅｗｄｅｃａｄｅｓｔｏｔｈｅｍｅａｓｕｒｅｍｅｎｔａｎｄｍｏｄｅｌｉｎｇｏｆｔｈｅｓｃａｌｉｎｇｌａｗｏｆｓｔｒｕｃｔｕｒｅｆｕｎｃｔｉｏｎｏｆｔｕｒｂｕｌｅｎｔｆｌｏｗｓ.Ｔｈｅｓｏ＿ｃａｌｌｅｄ“ｖｅｌｏｃｉｔｙｓｔｒｕｃｔｕｒｅｆｕｎｃｔｉｏｎｏｆｏｒｄｅｒｎ”ｆｏｒｔｕｒｂｕｌｅｎｔｆｌｏｗｓｉｓｄｅｆｉｎｅｄａｓ〈ΔＶ(ｒ) ｎ〉 ,ｗｈｅｒｅΔＶ(ｒ) =Ｖ(ｘ ｒ) -Ｖ(ｘ)ｉｓｔｈｅｖｅｌｏｃｉｔｙｃｏｍｐ…     

The effects of blood viscoelasticity on the pulse wave in arteries

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈａｔｔｈｅｂｌｏｏｄｈａｓｖｉｓｃｏｅｌａｓｔｉｃｐｒｏｐｅｒｔｉｅｓｉｓａｗｅｌｌ＿ｋｎｏｗｎｆａｃｔ.ＴｈｅｒｅｓｅａｒｃｈｅｓｆｏｒｔｈｅｂｌｏｏｄｖｉｓｃｏｅｌａｓｔｉｃｉｔｙｂｙＧ .Ｂ .Ｔｈｕｒｓｔｏｎ[1～4]ａｎｄＳ .Ｃｈｉｅｎ[5 ]ｓｈｏｗｔｈａｔｔｈｅｂｌｏｏｄｎｏｔｏｎｌｙａｐｐｅａｒｓｔｈｅｖｉｓｃｏｅｌａｓｔｉｃｉｔｙｉｎｖａｒｉｏｕｓｏｓｃｉｌｌａｔｏｒｙｂｌｏｏｄｆｌｏｗｓ,ｂｕｔａｌｓｏｈａｓｑｕｉｔｅｓｔｒｏｎｇｅｌａｓｔｉｃｉｔｙｉｎｓｏｍｅ…     

BLOW-UP OF THE SOLUTIONS FOR THE INITIAL-BOUNDARY PROBLEMS OF THE NONLINEAR SCHR?DINGER EQUATIONS

Ｔｈｅｒｅａｒｅｍａｎｙｄｏｃｕｍｅｎｔｓｔｈａｔｄｉｓｃｕｓｓｂｌｏｗ＿ｕｐｏｆｔｈｅｓｏｌｕｔｉｏｎｓｆｏｒｔｈｅｉｎｉｔｉａｌ＿ｂｏｕｎｄａｒｙｖｌｕｅｐｒｏｂｌｅｍｓｏｆｔｈｅｎｏｎｌｉｎｅａｒＳｃｈｒ ｄｉｎｇｅｒｅｑｕａｔｉｏｎｓ,ｓｕｃｈａｓｐａｐｅｒ [1 ] .Ｂｕｔｔｈｅｐａｐｅｒ [1 ]ｈａｓｏｎｅｗｅａｋｐｏｉｎｔ,ｔｈａｔｉｓ,ｉｔｃａｎｎｏｔｕｎｉｔｅｄｉｓｃｕｓｓｉｏｎｆｏｒｂｌｏｗ＿ｕｐｏｆｔｈｅｓｏｌｕｔｉｏｎｓｆｏｒｔｈｅｉｎｉｔｉａｌ＿ｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌ…     

Effect of Reaction Media on Photoreaction of Provitamin D_3

IntroductionThe photochemistry of provitamin D3 (Pro) has been studied extensively in many years1-4. As shown in Scheme 11, irradiation of provitamin D3 in organic solvents results in its photoisomerization to previtamin D3 (Pre). Previtamin D3 can be thermally transferred into vitamin D3 (VD3), which is of commercial interests. However, previtamin D3 also undergoes the photochemical back reaction leading to the regeneration of provitamin D3 and the photoisomerization resulting in the und…