@article{CML_2011__3_3_543_0, author = {Denis Serre}, title = {Three-dimensional interaction of shocks in irrotational flows}, journal = {Confluentes Mathematici}, pages = {543--576}, publisher = {World Scientific Publishing Co Pte Ltd}, volume = {3}, number = {3}, year = {2011}, doi = {10.1142/S1793744211000394}, language = {en}, url = {https://cml.centre-mersenne.org/articles/10.1142/S1793744211000394/} }

TY - JOUR AU - Denis Serre TI - Three-dimensional interaction of shocks in irrotational flows JO - Confluentes Mathematici PY - 2011 SP - 543 EP - 576 VL - 3 IS - 3 PB - World Scientific Publishing Co Pte Ltd UR - https://cml.centre-mersenne.org/articles/10.1142/S1793744211000394/ DO - 10.1142/S1793744211000394 LA - en ID - CML_2011__3_3_543_0 ER -

%0 Journal Article %A Denis Serre %T Three-dimensional interaction of shocks in irrotational flows %J Confluentes Mathematici %D 2011 %P 543-576 %V 3 %N 3 %I World Scientific Publishing Co Pte Ltd %U https://cml.centre-mersenne.org/articles/10.1142/S1793744211000394/ %R 10.1142/S1793744211000394 %G en %F CML_2011__3_3_543_0

Denis Serre. Three-dimensional interaction of shocks in irrotational flows. Confluentes Mathematici, Volume 3 (2011) no. 3, pp. 543-576. doi : 10.1142/S1793744211000394. https://cml.centre-mersenne.org/articles/10.1142/S1793744211000394/

[1] G.-Q. Chen and M. Feldman, Potential theory for shock reflection by a large-angle wedge, Proc. Natl. Acad. Sci. USA 102 (2005) 15368–72; Global solution to shock reflection by large-angle wedges for potential flow, Ann. Math. 171 (2010) 1067–1182.

[2] X. Chen and Y. Zheng, The interaction of rarefaction waves of the two-dimensional Euler equations, Indiana Univ. Math. J. 59 (2010) 231–256.

[3] R. Courant and K. O. Friedrichs, Supersonic Flows and Shock Waves, reprinting of the 1948 original, Applied Math. Sciences, Vol. 21 (Springer-Verlag, 1976).

[4] C. Dafermos, Hyperbolic Conservation Laws in Continuum Physics, 3rd edn. Grundlehren der mathematischen Wissenschaften, Vol. 325 (Springer-Verlag, 2010).

[5] D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order (Springer-Verlag, 2001).

[6] H. Gilquin and J. Laurens, Multi-dimensional Riemann problems for linear hyperbolic systems, Modél. Math. Anal. Numér. 30 (1996) 527–548.

[7] P. D. Lax, Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math. 10 (1957) 537–566.

[8] J. Li, Z. Yang and Y. Zheng, Characteristic decompositions and interactions of rar- efaction waves of 2D Euler equations, J. Differential Equations 250 (2011) 782–798.

[9] D. Serre, Multi-dimensional shock interaction for a Chaplygin gas, Arch. Rational Mech. Anal. 191 (2009) 539–577.

[10] D. Serre, Shock reflection in gas dynamics, in Handbook of Mathematical Dynamics, IV, eds. S. Friedlander and D. Serre (North-Holland, 2007), pp. 39–122.

*Cited by Sources: *