We discuss the solvability of the time-dependent incompressible Navier–Stokes equations with nonhomogeneous Dirichlet data in spaces of low regularity.

Motivated by recent experimental and numerical results, a simple unifying picture of intermittency in turbulent shear flows is suggested. Integral structure functions (ISF), taking into account explicitly the shear intensity, are introduced on phenomenological grounds. ISF can exhibit a universal scaling behavior, independent of the shear intensity. This picture is in satisfactory agreement wit...

We consider the boundedness solutions of a certain fourth-order nonlinear and nonhomogeneous differential equation. prove that this equation are bounded byCauchy formula

We derive sharp partial regularity criteria of nonlinear potential theoretic nature for the Lebesgue-Serrin-Marcellini extension nonhomogeneous singular multiple integrals featuring (p,q)-growth conditions.

In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in...

Despite their technological relevance, the resistance of soft thermoplastic polyurethanes (TPU) to crack propagation in cyclic fatigue has never been investigated detail. In particular, a clear shortcoming literature for this class materials is lack connection between and large strain behavior that fundamental role defining material’s propagation. We demonstrate here first time when strain-indu...

The goal of branch length estimation in phylogenetic inference is to estimate the divergence time between a set of sequences based on compositional differences between them. A number of software is currently available facilitating branch lengths estimation for homogeneous and stationary evolutionary models. Homogeneity of the evolutionary process imposes fixed rates of evolution throughout the ...