Results 31 to 40 of about 187 (52)

Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equations [PDF]

, 2017
In this paper we construct two families of initial data being arbitrarily large under any scaling-invariant norm for which their corresponding weak solution to the three-dimensional Navier-Stokes equations become smooth on either $[0,T_1]$ or $ [T_2 ...
Gutiérrez-Santacreu, Juan Vicente
core   +1 more source

Maximal Sobolev regularity for solutions of elliptic equations in infinite dimensional Banach spaces endowed with a weighted Gaussian measure

, 2016
Let $X$ be a separable Banach space endowed with a non-degenerate centered Gaussian measure $\mu$. The associated Cameron-Martin space is denoted by $H$.
Cappa, Gianluca, Ferrari, Simone
core   +1 more source

A placebo‐controlled, double‐blind study evaluating the effect of orally administered polyunsaturated fatty acids on the oclacitinib dose for atopic dogs

Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.
Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley   +1 more source

Discontinuous Galerkin finite element approximation of non-divergence form elliptic equations with Cordes coefficients [PDF]

, 2012
Non-divergence form elliptic equations with discontinuous coefficients do not generally posses a weak formulation, thus presenting an obstacle to their numerical solution by classical finite element methods.
Smears, Iain, Suli, Endre
core  

Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials

, 2015
The well-posedness of a system of partial differential equations and dynamic boundary conditions, both of Cahn-Hilliard type, is discussed. The existence of a weak solution and its continuous dependence on the data are proved using a suitable setting for
Colli, Pierluigi, Fukao, Takeshi
core   +1 more source

Diffuse Interface models for incompressible binary fluids and the mass-conserving Allen-Cahn approximation

, 2020
This paper is devoted to the mathematical analysis of some Diffuse Interface systems which model the motion of a two-phase incompressible fluid mixture in presence of capillarity effects in a bounded smooth domain.
Giorgini, Andrea, Grasselli, Maurizio, Wu, Hao   +2 more
core   +2 more sources

On a coupled bulk-surface Allen-Cahn system with an affine linear transmission condition and its approximation by a Robin boundary condition

, 2019
We study a coupled bulk-surface Allen-Cahn system with an affine linear transmission condition, that is, the trace values of the bulk variable and the values of the surface variable are connected via an affine relation, and this serves to generalize the ...
Colli, Pierluigi, Fukao, Takeshi, Lam, Kei Fong   +2 more
core   +1 more source

Euler-α equations in a three-dimensional bounded domain with Dirichlet boundary conditions

Open Mathematics
In this article, we investigate the Euler-α\alpha equations in a three-dimensional bounded domain. On the one hand, we prove in the Euler setting that the equations are locally well-posed with initial data in Hs(s≥3){H}^{s}\left(s\ge 3).
Yuan Shaoliang, Huang Lehui, Cheng Lin, You Xiaoguang   +3 more
doaj   +1 more source

A regularity result for incompressible elastodynamics equations in the ALE coordinates

Advanced Nonlinear Studies
We consider incompressible inviscid elastodynamics equations with a free surface and establish regularity of solutions for these equations. Compared with previous result on this free boundary problem [X. Gu and F.
Xie Binqiang
doaj   +1 more source

Discontinuous Galerkin finite element approximation of Hamilton-Jacobi-Bellman equations with Cordès coefficients [PDF]

, 2013
We propose an hp-version discontinuous Galerkin finite element method for fully nonlinear second-order elliptic Hamilton-Jacobi-Bellman equations with Cord ès coefficients. The method is proven to be consistent and stable, with convergence rates that are
Smears, Iain, Suli, Endre
core