Editing Appendix/Ramblings/ForPJinApril2021

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=For Pranav Jadhav in April 2021=

==Potentially Relevant Initial Links==

* [[H_BookTiledMenu#Tiled_Menu|Tiled Menu]]
* [[ThreeDimensionalConfigurations/BinaryFission#Fission_Hypothesis_of_Binary_Star_Formation|Fission Hypothesis of Binary Star Formation]]
* [[ThreeDimensionalConfigurations/ChallengesPt2#COLLADA-Based_Representation|COLLADA-based Representation of Riemann Type 1 Ellipsoid]]

==Challenges to Young, Applied Mathematicians==
<font color="red">'''Note from J. E. Tohline to Students with Good Mathematical Skills'''</font>:  The astronomy community's understanding of the ''Structure, Stability, and Dynamics'' of stars and galaxies would be strengthened if we had, in hand, closed-form analytic solutions to the following well-defined mathematical problems.  (Solutions can be obtained ''numerically'' with relative ease, but here the challenge is to find a closed-form analytic solution.)  As is true with most meaningful scientific research projects, it is not at all clear whether each of these problems ''has'' a solution.  In my judgment, however, it seems plausible that a closed-form solution can be discovered in each case and such a solution would be of sufficient interest to the astronomical community that it would likely be publishable in a professional astronomy or physics journal.  At the very least, each of these projects represents an opportunity for a graduate student, an undergraduate, or even a talented high-school student (perhaps in connection with a mathematics science fair project?) to hone her/his research skills in applied mathematics.  Also, I would be thrilled to include a solution to any one of these problems &#8212; along with full credit to the solution's author &#8212; as a chapter in this online H_Book.  Having retired from LSU, I am not in a position to financially support or formally advise students who are in pursuit of a higher-education degree.  I would nevertheless be interested in sharing my expertise &#8212; and, perhaps, developing a collaborative relationship &#8212; with individuals who are interested in pursuing answers to the questions posed by this identified set of problems. 

* [[MathProjects/EigenvalueProblemN1|Find Analytic Solutions to an Eigenvalue Problem]]

=See Also=

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