On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations
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We prove the existence of globally defined weak solutions to the Navier—Stokes equations of compressible isentropic flows in three space dimensions on condition that the adiabatic constant satisfies \( \gamma > 3/2 \) .
- On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations
Journal of Mathematical Fluid Mechanics
Volume 3, Issue 4 , pp 358-392
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- Birkhäuser Verlag
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- Keywords. Compressible Navier—Stokes equations, global existence, critical adiabatic exponent.