相关论文: Global in time solution to the incompressible Eule…

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

The article `Global regularity for the 3D Navier-Stokes and the 3D Euler equations'(arXiv:0711.2453) is withdrawn due to a serious error in the proof.

This paper has been withdrawn by the author, due to an error in the proof of lemma 7.4. However, numerical evidence strongly suggest that this lemma is true.

We construct time almost-periodic solutions (global in time) with finite regularity to the incompressible Euler equations on the torus $\T^d$, with $d=3$ and $d\in\N$ even.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn by the author due to a crucial definition error of Triebel space.

This paper has been withdrawn because the part concerning the definition of global hyperbolicity has already been included in an expanded and clearer way in gr-qc/0611138. The remainder will be also extended and posted.

This paper has been withdrawn by the author due to a crucial error in eq.59. I apologize for the inconveniences.

This paper has been withdrawn by the author due to a crucial error.

In this paper we prove a theorem of global time-extension for the local classical solution of Navier-Stokes's evolution problem in $\Real^n$ with $n\geqslant2$ for incompressible fluids subjected to external forces and regular initial…

This paper has been withdrawn by the author due to the unsure solutions to the Dyson-Schwinger equation.

This paper has been withdrawn by the author due to a crucial error in the submission action.

Using a recent result of C. De Lellis and L. Sz\'{e}kelyhidi Jr. we show that, in the case of periodic boundary conditions and for dimension greater or equal 2, there exist infinitely many global weak solutions to the incompressible Euler…

This paper has been withdrawn by the author due to a serious flaw that needs to be fixed. That is in progress by the author.

In this paper, we provide a much simplified proof of the main result in [Lin and Zhang, Comm. Pure Appl. Math.,67(2014), 531--580] concerning the global existence and uniqueness of smooth solutions to the Cauchy problem for a 3D…

This paper has been withdrawn by the author, due to a crucial error in page 5.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn. A much-improved version can be found at hep-ph/0209176.

In this paper we prove local in time well-posedness for the incompressible Euler equations in $\Bbb R^n$ for the initial data in $\mathscr {L}^{ 1}_{ 1(1)}(\mathbb {R}^{n}) $, which corresponds to a critical case of the generalized…