Differential and Integral Equations
- Differential Integral Equations
- Volume 9, Number 4 (1996), 827-848.
Weak solutions to a nonlinear partial differential equation of mixed type
We study a convective problem of "mixed type" (i.e., parabolic and hyperbolic ) which has a degenerate second order term. The analysis by the "vanishing viscosity" is made by a careful study of the phase boundaries and of the topological structure of the phase sets. At the end we provide the existence of a discontinuous travelling wave.
Differential Integral Equations, Volume 9, Number 4 (1996), 827-848.
First available in Project Euclid: 7 May 2013
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Marcati, Pierangelo. Weak solutions to a nonlinear partial differential equation of mixed type. Differential Integral Equations 9 (1996), no. 4, 827--848. https://projecteuclid.org/euclid.die/1367969890