Electron. J. Diff. Equ., Vol. 2011 (2011), No. 52, pp. 1-7.

Explicit solutions for a system of first-order partial differential equations-II

Kayyunnapapra Thomas Joseph, Manas Ranjan Sahoo

Abstract:
In this note we give an explicit formula for the solution of conservative form of a system studied in a previous article [6], in the domain $\{(x,t):x>0,t>0\}$ with initial conditions at $t=0$ and with Bardos Leroux Nedelec boundary conditions at $x=0$.

Submitted April 8, 2011. Published April 13, 2011.
Math Subject Classifications: 35A20, 35L50, 35R05.
Key Words: First order PDE; boundary conditions; exact solutions.

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Kayyunnapapra Thomas Joseph
School of Mathematics
Tata Institute of Fundamental Research
Homi Bhabha Road, Mumbai 400005, India
email: ktj@math.tifr.res.in
Manas Ranjan Sahoo
School of Mathematics
Tata Institute of Fundamental Research
Homi Bhabha Road, Mumbai 400005, India
email: manas@math.tifr.res.in

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