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Material derivative
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==Other names== <!-- in bold, since the redirects lead to here --> There are many other names for the material derivative, including: *'''advective derivative'''<ref>{{cite book |title=Introduction to PDEs and Waves for the Atmosphere and Ocean | last=Majda |first=A. |author-link=Andrew Majda |isbn=0-8218-2954-8 |series=Courant Lecture Notes in Mathematics |volume=9 |year=2003 |publisher=American Mathematical Society |page=1 }}</ref> *'''convective derivative'''<ref name=Ockendon>{{cite book| first1=H. |last1=Ockendon |author1-link= Hilary Ockendon |last2=Ockendon |first2=J.R.|author2-link= John Ockendon | title=Waves and Compressible Flow | publisher=Springer | year=2004 | isbn=0-387-40399-X | page=6 }}</ref> *'''derivative following the motion'''<ref name="BSLr2"/> *'''hydrodynamic derivative'''<ref name="BSLr2"/> *'''Lagrangian derivative'''<ref name=Mellor>{{cite book | first=G.L. | last=Mellor | title=Introduction to Physical Oceanography | publisher=Springer | year=1996 | isbn=1-56396-210-1 |page=19 }}</ref> *'''particle derivative'''<ref>{{cite book |title=Water Waves: The Mathematical Theory with Applications |last=Stoker |first=J.J. |author-link=James J. Stoker |isbn=0-471-57034-6 |page=5 |year=1992 |publisher=Wiley }}</ref> *'''substantial derivative'''<ref name="BSLr2">{{cite book|last1=Bird |first1=R.B. |last2=Stewart |first2=W.E. | last3=Lightfoot |first3=E.N. |author3-link=Edwin N. Lightfoot |title=[[Transport Phenomena (book)|Transport Phenomena]] |edition=Revised Second |publisher=John Wiley & Sons |year=2007 |isbn=978-0-470-11539-8 |page=83}}</ref> *'''substantive derivative'''<ref name=Granger>{{cite book| first=R.A. |last=Granger| title=Fluid Mechanics | publisher=Courier Dover Publications | year=1995 | isbn=0-486-68356-7 | page=30}}</ref> *'''Stokes derivative'''<ref name=Granger/> *'''total derivative''',<ref name="BSLr2"/><ref name="LandauLifshitz">{{Cite book | publisher = Butterworth-Heinemann | isbn = 0-7506-2767-0 | first1 = L.D. | last1 = Landau | author1-link = Lev Landau | first2 = E.M. | last2 = Lifshitz | author2-link = Evgeny Lifshitz | title = Fluid Mechanics | edition = 2nd | series = Course of Theoretical Physics | volume = 6 | year = 1987 | pages = 3β4 & 227 }}</ref> although the material derivative is actually a special case of the [[total derivative]]<ref name="LandauLifshitz"/>
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