On the critical exponent $$p_c$$ of the 3D quasilinear wave equation $$-\big (1+(\partial _t\phi )^p\big )\partial _t^2\phi +\Delta \phi =0$$ with short pulse initial data: II—shock formation
Author:
Funder
National Outstanding Youth Science Fund Project of National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s00526-024-02753-1.pdf
Reference31 articles.
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2. Alinhac, S.: The null condition for quasilinear wave equations in two space dimensions. II. Am. J. Math. 123(6), 1071–1101 (2001)
3. Alterman, D., Rauch, J.: Nonlinear geometric optics for short pulses. J. Differ. Equ. 178(2), 437–465 (2002)
4. Alterman, D., Rauch, J.: Diffractive nonlinear geometric optics for short pulses. SIAM J. Math. Anal. 34(6), 1477–1502 (2003)
5. Buckmaster, T., Drivas, T.D., Shkoller, S., Vicol, V.: Simultaneous development of shocks and cusps for 2D Euler with azimuthal symmetry from smooth data. Ann. PDE 8(2), Paper No. 26, 199 (2022)
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