I am not entirely sure if I should ask this question here or not, but here goes: can anyone suggest any reference (book, article, etc.) about the Navier-Stokes equations from a mathematical point view? In other words, works that go into detail about the properties of the NS equations as a set of PDE's and the properties of the solutions (if any)(including attempts to prove that the solution is smooth and its energy is bounded over time). I am also interested in alternative models like Leray's, Holm's and Ladyzenskaja's models.

I don't know where to start my search, so any nudge in the right direction is appreciated.


Before answering, please see our policy on resource recommendation questions. Please write substantial answers that detail the style, content, and prerequisites of the book, paper or other resource. Explain the nature of the resource so that readers can decide which one is best suited for them rather than relying on the opinions of others. Answers containing only a reference to a book or paper will be removed!

  • $\begingroup$ Schlichting's book "Boundary-Layer Theory" is more of an advanced engineering text, but it does have a chapter on the NS equations & another on exact solutions. $\endgroup$ – D. Halsey Apr 25 at 18:29
  • $\begingroup$ @D.Halsey Thank you for you suggestion. I am well aware of Schlichting's book, to which i often turn for reference, but I am not looking for specific solutions to simple configurations. I am looking for texts that tackle the NS equations as a mathematical problem. $\endgroup$ – György von Fesz Apr 28 at 12:45

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.