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Elling, Volker

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Dr. Elling's research interests are in partial differential equations 
 modelling fluid dynamics. His past work focuses on shock reflection,
 in particular weak-strong selection and regular-Mach transition, 
 on non-uniqueness and the carbuncle phenomenon, and more recently 
 on existence of vortex spirals in incompressible flow.


Email : velling AT math.sinica.edu.tw
Phone:+886 2 2368-5999 ext. 741
Fax: +886 2 2368-9771

Publications :

1.  Nonexistence of low-Mach irrotational inviscid flows around polygons, Journal of Differential Equations , 262(2017), no. 11, 2705-2721(http://dx.doi.org/10.1016/j.jde.2016.11.014)
2.  Self-similar 2d Euler solutions with mixed-sign vorticity, Communications in Mathematical Physics , 348(2016-11), no. 1, 27-68
3.  Relative entropy and compressible potential flow, Acta Math. Sci. Ser. B Engl. Ed. , 35(2015), no. 4, 763-776
4.  (with B. Plale, G. Eisenhauer, K. Schwan, D. King, V. Martin) Realizing distributed computational laboratories, , 2(1999), no. 3
5.  (with Tai-Ping Liu) The ellipticity principle for selfsimilar polytropic potential flows, J. Hyper. Diff. Eqns. , 2(2005), no. 4, 909-917
6.  A possible counterexample to wellposedness of entropy solutions and to Godunov scheme convergence, Math. Comp. , 75(2006), no. 256, 1721-1733
7.  A Lax-Wendroff type theorem for unstructured quasiuniform grids, Math. Comp. , 76(2007), no. 257, 251-272
8.  (with Tai-Ping Liu) Supersonic flow onto a solid wedge, Comm. Pure Appl. Math. , 61(2008), no. 10, 1347-1448
9.  Counterexamples to the sonic criterion, Arch. Rat. Mech. Anal. , 194(2009-12), no. 3, 987-1010
10.  The carbuncle phenomenon is incurable, Acta Math. Sci. (ser. B) , 29(2009), no. 6, 1647-1656
11.  Instability of strong regular reflection and counterexamples to the detachment criterion, SIAM J. Appl. Math. , 70(2009), no. 4, 1330-1340
12.  Regular reflection in self-similar potential flow and the sonic criterion, Commun. Math. Anal. , 8(2010), no. 2, 22-69
13.  Hölder continuity and differentiability on converging subsequences, Acta Math. Sci. , 32B(2012), no. 1, 75-83
14.  Non-existence of strong regular reflection in self-similar potential flow, J. Diff. Eqns. , 252(2012), no. 3, 2085-2103
15.  (with Joseph Roberts) Steady self-similar inviscid flow, SIAM J. Math. Anal. , 44(2012), no. 4, 2344-2371
16.  Algebraic spiral solutions of 2d incompressible Euler, J. Differential Equations , 255(2013), no. 11, 3749-3787
17.  (with Joseph Roberts) Steady and Self-Similar Solutions of Non-Strictly Hyperbolic Systems of Conservation Laws, Communications in Partial Differential Equations , 39(2014), 1364-1392