Lecture Notes on Regularity Theory for the Navier-Stokes Equations

By G A Seregin. 2014

138 citations recorded by the source corpus.

Preliminaries Linear Stationary Problem Non-Linear Stationary Problem Linear Non-Stationary Problem Non-Linear Non-Stationary Problem Local Regularity Theory for Non-Stationary Navier-Stokes Equations Behaviour of L3-Norm Appendix A: Backward Uniqueness and Unique Continuation Appendix B: Lemarie-Riesset Local Energy Solutions

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/0f8ca12fdb0bc65d291a43d6510ea0ef4da2af4a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Siddhartha Mishra
2. Roberto Molinaro

In Computational Mechanics

1. Siddhartha Mishra
2. Roberto Molinaro

Citations in the corpus

• Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs (2020, background): “Let u 1 , 𝑝 1 be solutions of the following boundary-value problem for the Stokes equations, We know from classical theory for the Stokes’ equation [58], [10](estimate 2.2) that, for some constant 𝐶 that depends only on the domain 𝐷 .”