Results 41 to 50 of about 160 (57)

Minimizing movements for mean curvature flow of droplets with prescribed contact angle [PDF]

arXiv, 2016
We study the mean curvature motion of a droplet flowing by mean curvature on a horizontal hyperplane with a possibly nonconstant prescribed contact angle. Using the minimizing movements method we show the existence of a weak evolution, and its compatibility with a distributional solution. We also prove various comparison results.
arxiv  

Cross-points in the Dirichlet-Neumann method I: well-posedness and convergence issues. [PDF]

Numer Algorithms, 2023
Chaudet-Dumas B, Gander MJ.
europepmc   +1 more source

Weighted Gagliardo-Nirenberg Inequalities Involving BMO Norms and Measures [PDF]

arXiv, 2016
Global and local weighted Gagliardo-Nirenberg inequalities with doubling measures are established. These inequalities are key ingredients for the regularity theory and existence of strong solutions for strongly coupled parabolic and elliptic systems which are degenerate or singular because of the unboundedness of dependent and independent variables.
arxiv  

Maximal $L^p-L^q$ regularity to the Stokes Problem with Navier boundary conditions [PDF]

arXiv, 2016
We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor. This is fundamental and plays an important role in the associated parabolic problem and will be used to prove maximal $L^{p}-L^{q}$ regularity results for the non-homogeneous Stokes ...
arxiv  

Bacitracin, Bacillus subtilis, and Eimeria spp. challenge exacerbates woody breast incidence and severity in broilers. [PDF]

Poult Sci, 2022
Jia L, Zhang X, Li X, Schilling W, David Peebles E, Kiess AS, Zhai W, Zhang L.   +7 more
europepmc   +1 more source

The Local Existence and Blowup Criterion for Strong Solutions to the Kinetic Cucker--Smale Model Coupled with the Compressible Navier--Stokes Equation [PDF]

arXiv, 2018
In this paper, we establish the existence and uniqueness of local strong solutions to the kinetic Cucker--Smale model coupled with the isentropic compressible Navier--Stokes equation in the whole space. Moreover, the blowup mechanism for strong solutions to the coupled system is also investigated.
arxiv  

On the minimality of the Winterbottom shape [PDF]

arXiv
In this short note we prove that the Winterbottom shape [Winterbottom: Acta Metallurgica (1967)] is a volume-constraint minimizer of the corresponding anisotropic capillary functional.
arxiv  

Strong solutions in the dynamical theory of compressible fluid mixtures [PDF]

arXiv, 2013
In this paper we investigate the compressible Navier-Stokes-Cahn-Hilliard equations (the so-called NSCH model) derived by Lowengrub and Truskinowsky. This model describes the flow of a binary compressible mixture; the fluids are supposed to be macroscopically immiscible, but partial mixing is permitted leading to narrow transition layers.
arxiv  

A New H ² Regularity Condition of the Solution to Dirichlet Problem of the Poisson Equation and Its Applications. [PDF]

Acta Math Sin Engl Ser, 2020
Gao FC, Lai MJ.
europepmc   +1 more source

Strong and Mild Extrapolated $L^2$-Solutions to the Heat Equation with Constant Delay [PDF]

arXiv, 2014
We propose a Hilbert space solution theory for a nonhomogeneous heat equation with delay in the highest order derivatives with nonhomogeneous Dirichlet boundary conditions in a bounded domain. Under rather weak regularity assumptions on the data, we prove a well-posedness result and give an explicit representation of solutions.
arxiv