Partial differential equations Basic notions and classification Concept
Mixed-type equation
Summary
A mixed-type equation is a partial differential equation that is elliptic in one part of its domain and hyperbolic in another part. The two regions are separated by a set where the equation degenerates, often a parabolic line. The basic example is the Tricomi equation. Such equations arise in the study of transonic flow, where the speed of a gas crosses the speed of sound. See the definition.
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| Tag | 7WFKPAMQFG |
|---|---|
| URI | m2://7WFKPAMQFG |
| Kind | concept |
| Writing | W0 stub |
| MSC | 35M10 |
| Specializes | Partial differential equation |
| Changed | 2 November 2026 |
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