Research in Mathematics

· Research Interest

· Selected Publications

1. Analysis on linear stability of oblique shock waves in steady supersonic flow, J. Diff. Eq., 207(2004), 195-225.

2. Oblique and conical shock waves for Euler system of equations, Proc. Roy. Soc. Edinburgh, 135A(2005), 1109-1127.

3. Oblique shock waves and shock reflection. J. Math. Phys., 48(2007),123102, 1-20.

4. Global solutions for coupled Kuramoto-Sivashinsky-KdV system, Quart. Appl. Math. 67 (2009) 477-488.

5. Cauchy problem with general discontinuous initial data along a smooth curve for 2-d Euler system, J. Diff. Eq. 257(2014), no. 6, 1939-1988.

6. Compatibility of jump Cauchy data for non-isentropic Euler equations, JMAA. 425 (2015), no. 1, 565–587.

7. Generalised Riemann Problem for Euler System, Science China Mathematics, 60(2017), no.4, 581-592

8. Initial-Boundary value problem for Euler equations with incompatible data. Quart. Appl. Math., 76(2018), 47-64

9. Initial-Boundary value problem for Euler equations with rarefaction wave solution, (to appear on JHDE)

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