▁support ▁veter ans ▁batt ling ▁cancer . ▁ ▁References ▁ ▁External ▁links ▁▁▁▁ ▁Category : Comp an ies ▁based ▁in ▁Seattle <0x0A> </s> ▁In ▁fluid ▁dynamics , ▁the ▁Taylor – Green ▁vor tex ▁is ▁an ▁un st ead y ▁flow ▁of ▁a ▁decay ing ▁vor tex , ▁which ▁has ▁an ▁exact ▁closed ▁form ▁solution ▁of ▁the ▁in com press ible ▁Nav ier – Sto kes ▁equations ▁in ▁Cart esian ▁coordinates . ▁It ▁is ▁named ▁after ▁the ▁British ▁phys ic ist ▁and ▁math ematic ian ▁Geoff rey ▁In gram ▁Taylor ▁and ▁his ▁collabor ator ▁A . ▁E . ▁Green . ▁ ▁Original ▁work ▁ ▁In ▁the ▁original ▁work ▁of ▁Taylor ▁and ▁Green , ▁a ▁particular ▁flow ▁is ▁analyz ed ▁in ▁three ▁spatial ▁dimensions , ▁with ▁the ▁three ▁velocity ▁components ▁ ▁at ▁time ▁ ▁specified ▁by ▁ ▁The ▁continu ity ▁equation ▁ ▁determ ines ▁that ▁. ▁The ▁small ▁time ▁behavior ▁of ▁the ▁flow ▁is ▁then ▁found ▁through ▁simpl ification ▁of ▁the ▁in com press ible ▁Nav ier – Sto kes ▁equations ▁using ▁the ▁initial ▁flow ▁to ▁give ▁a ▁step - by - step ▁solution ▁as ▁time ▁progress es . ▁ ▁An ▁exact ▁solution ▁in ▁two ▁spatial ▁dimensions ▁is ▁known , ▁and ▁is ▁presented ▁below . ▁ ▁In com press ible ▁Nav ier – Sto kes ▁equations ▁The ▁in com press ible ▁Nav ier – Sto kes ▁equations ▁in ▁the ▁absence ▁of ▁body ▁force , ▁and ▁in ▁two ▁spatial ▁dimensions , ▁are ▁given ▁by ▁ ▁The ▁first ▁of ▁the ▁above ▁equation ▁represents ▁the ▁continu ity ▁equation