Dynamic allocations work fine in a memory constrained environment. Successful handling can mean just postponing a task. [1] You just have to build your app in a way where there is a core that can continue running with no further allocations.

Chrome is a decent example. Some of its processes might crash in an out-of-memory situation, but that only causes some tabs to lose their display state. The browser as a whole keeps running just fine. A similar solution can be done within a single process too.

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[1] By task I mean some app specific unit of work that makes sense, not some Rust std lib string allocation.