Global solutions to the <i>n</i>-dimensional incompressible Oldroyd-B model without damping mechanism
Xiaoping Zhai
Abstract
The present work is dedicated to the global solutions to the incompressible Oldroyd-B model without damping on the stress tensor in Rn(n=2,3). This result allows us to construct global solutions for a class of highly oscillating initial velocities. The proof uses the special structure of the system. Moreover, our theorem extends the previous result of Zhu [J. Funct. Anal. 274, 2039–2060 (2018)] and covers the recent result of Chen and Hao [J. Math. Fluid Mech. 21, 42 (2019)].
Topics & Concepts
CompressibilityWork (physics)MathematicsMathematical physicsCauchy stress tensorTensor (intrinsic definition)Class (philosophy)Mathematical analysisPhysicsClassical mechanicsPure mathematicsMechanicsQuantum mechanicsComputer scienceArtificial intelligenceNavier-Stokes equation solutionsComputational Fluid Dynamics and AerodynamicsFluid Dynamics and Turbulent Flows