+- Softwarez.Info - Software's World! (https://softwarez.info)
+-- Forum: Library Zone (https://softwarez.info/Forum-Library-Zone)
+--- Forum: E-Books (https://softwarez.info/Forum-E-Books)
+--- Thread: Contributions to Current Challenges in Mathematical Fluid Mechanics (/Thread-Contributions-to-Current-Challenges-in-Mathematical-Fluid-Mechanics--541292)
Contributions to Current Challenges in Mathematical Fluid Mechanics - ebooks1001 - 09-09-2024
![[Image: 421bcd21d34229f2432bfbde4f98b8db.webp]](https://i124.fastpic.org/big/2024/0909/db/421bcd21d34229f2432bfbde4f98b8db.webp)
Free Download Contributions to Current Challenges in Mathematical Fluid Mechanics by Giovanni P. Galdi, John G. Heywood, Rolf Rannacher
English | PDF (True) | 2004 | 159 Pages | ISBN : 3764371048 | 11.8 MB
This volume consists of five research articles, each dedicated to a significant topic in the mathematical theory of the Navier-Stokes equations, for compressible and incompressible fluids, and to related questions. All results given here are new and represent a noticeable contribution to the subject. One of the most famous predictions of the Kolmogorov theory of turbulence is the so-called Kolmogorov-obukhov five-thirds law. As is known, this law is heuristic and, to date, there is no rigorous justification. The article of A. Biryuk deals with the Cauchy problem for a multi-dimensional Burgers equation with periodic boundary conditions. Estimates in suitable norms for the corresponding solutions are derived for "large" Reynolds numbers, and their relation with the Kolmogorov-Obukhov law are discussed. Similar estimates are also obtained for the Navier-Stokes equation. In the late sixties J. L. Lions introduced a "perturbation" of the Navier Stokes equations in which he added in the linear momentum equation the hyper dissipative term (-Ll),Bu, f3 ~ 5/4, where Ll is the Laplace operator. This term is referred to as an "artificial" viscosity. Even though it is not physically moti vated, artificial viscosity has proved a useful device in numerical simulations of the Navier-Stokes equations at high Reynolds numbers. The paper of of D. Chae and J. Lee investigates the global well-posedness of a modification of the Navier Stokes equation similar to that introduced by Lions, but where now the original dissipative term -Llu is replaced by (-Ll)O:u, 0 S Ct < 5/4.
[/b]
Recommend Download Link Hight Speed | Please Say Thanks Keep Topic Live
Links are Interchangeable - Single Extraction