On the Regularity of the Composition of Diffeomorphisms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the Regularity of the Composition of Diffeomorphisms write by H. Inci. This book was released on 2013-10-23. On the Regularity of the Composition of Diffeomorphisms available in PDF, EPUB and Kindle. For M a closed manifold or the Euclidean space Rn we present a detailed proof of regularity properties of the composition of Hs-regular diffeomorphisms of M for s > 12dimM+1.
On the Regularity of the Composition of Diffeomorphisms
On the Regularity of the Composition of Diffeomorphisms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the Regularity of the Composition of Diffeomorphisms write by H. Inci. This book was released on 2014-09-11. On the Regularity of the Composition of Diffeomorphisms available in PDF, EPUB and Kindle. For M a closed manifold or the Euclidean space Rn we present a detailed proof of regularity properties of the composition of Hs-regular diffeomorphisms of M for s > 1/2 dim M + 1.
Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids
Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids write by Hajime Koba. This book was released on 2014-03-05. Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids available in PDF, EPUB and Kindle. A stationary solution of the rotating Navier-Stokes equations with a boundary condition is called an Ekman boundary layer. This book constructs stationary solutions of the rotating Navier-Stokes-Boussinesq equations with stratification effects in the case when the rotating axis is not necessarily perpendicular to the horizon. The author calls such stationary solutions Ekman layers. This book shows the existence of a weak solution to an Ekman perturbed system, which satisfies the strong energy inequality. Moreover, the author discusses the uniqueness of weak solutions and computes the decay rate of weak solutions with respect to time under some assumptions on the Ekman layers and the physical parameters. The author also shows that there exists a unique global-in-time strong solution of the perturbed system when the initial datum is sufficiently small. Comparing a weak solution satisfying the strong energy inequality with the strong solution implies that the weak solution is smooth with respect to time when time is sufficiently large.
Stochastic Flows in the Brownian Web and Net
Stochastic Flows in the Brownian Web and Net - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Flows in the Brownian Web and Net write by Emmanuel Schertzer . This book was released on 2014-01-08. Stochastic Flows in the Brownian Web and Net available in PDF, EPUB and Kindle. It is known that certain one-dimensional nearest-neighbor random walks in i.i.d. random space-time environments have diffusive scaling limits. Here, in the continuum limit, the random environment is represented by a `stochastic flow of kernels', which is a collection of random kernels that can be loosely interpreted as the transition probabilities of a Markov process in a random environment. The theory of stochastic flows of kernels was first developed by Le Jan and Raimond, who showed that each such flow is characterized by its -point motions. The authors' work focuses on a class of stochastic flows of kernels with Brownian -point motions which, after their inventors, will be called Howitt-Warren flows. The authors' main result gives a graphical construction of general Howitt-Warren flows, where the underlying random environment takes on the form of a suitably marked Brownian web. This extends earlier work of Howitt and Warren who showed that a special case, the so-called "erosion flow", can be constructed from two coupled "sticky Brownian webs". The authors' construction for general Howitt-Warren flows is based on a Poisson marking procedure developed by Newman, Ravishankar and Schertzer for the Brownian web. Alternatively, the authors show that a special subclass of the Howitt-Warren flows can be constructed as random flows of mass in a Brownian net, introduced by Sun and Swart. Using these constructions, the authors prove some new results for the Howitt-Warren flows.
A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations with Inverse Square Potentials
A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations with Inverse Square Potentials - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations with Inverse Square Potentials write by Florica C. Cîrstea. This book was released on 2014-01-08. A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations with Inverse Square Potentials available in PDF, EPUB and Kindle. In particular, for b = 1 and λ = 0, we find a sharp condition on h such that the origin is a removable singularity for all non-negative solutions of [[eqref]]one, thus addressing an open question of Vázquez and Véron.
