Unlike liquid engines, how is the motor case of a solid rocket protected from sustained high-temperature exhaust gases?

Answer

By lining internal surfaces with thick thermal insulation

Since solids cannot use regenerative cooling, they rely on internal linings, typically an asbestos-filled rubber compound, to protect the pressure vessel until the burn completes.

Unlike liquid engines, how is the motor case of a solid rocket protected from sustained high-temperature exhaust gases?
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