Differential and Integral Equations

Weak solutions to a nonlinear partial differential equation of mixed type

Pierangelo Marcati

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Abstract

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.

Article information

Source
Differential Integral Equations, Volume 9, Number 4 (1996), 827-848.

Dates
First available in Project Euclid: 7 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367969890

Mathematical Reviews number (MathSciNet)
MR1401440

Zentralblatt MATH identifier
0870.35058

Subjects
Primary: 35M10: Equations of mixed type
Secondary: 35B99: None of the above, but in this section

Citation

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


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