Results 21 to 30 of about 618,259 (179)

Existence of global solutions to chemotaxis fluid system with logistic source

Electronic Journal of Qualitative Theory of Differential Equations, 2021
We establish the existence of global solutions and $L^q$ time-decay of a three dimensional chemotaxis system with chemoattractant and repellent. We show the existence of global solutions by the energy method.
Harumi Hattori, Aesha Lagha
doaj   +1 more source

“A priori” shapley data value estimation

Pattern Analysis and Applications
Abstract Distributed machine learning approaches are required when training data cannot be collected in a central location, due to storage, transmission or privacy/security constraints. An important task in any distributed machine learning context, and Federated Learning is no exception, is data value estimation or credit allocation, where ...
Navia Vázquez, Ángel, Cid Sueiro, Jesús, Vázquez López, Manuel Alberto   +2 more
openaire   +2 more sources

The Existence and Uniqueness of Nonlinear Elliptic Equations with General Growth in the Gradient

Mathematics
In this paper, we prove the existence and uniqueness results for a weak solution to a class of Dirichlet boundary value problems whose prototype is −Δpu=β|∇u|q+f in Ω, u=0 on ∂Ω, where Ω is a bounded open subset of RN, N≥2 ...
Angelo Alvino, Vincenzo Ferone, Anna Mercaldo   +2 more
doaj   +1 more source

Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems

, 2013
We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, elliptic systems. We obtain new classification and Liouville type theorems in the whole Euclidean space, as well as in half-spaces, and deduce a priori ...
Montaru, Alexandre, Sirakov, Boyan, Souplet, Philippe   +2 more
core   +3 more sources

On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer

Қарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper difference schemes of the finite element method of a high order of accuracy for the nonstationary equation of moisture transfer of Aller are constructed and investigated. The increased order of accuracy is achieved through special sampling
D. Utebaev, G.Kh. Utepbergenova, K.O. Tleuov   +2 more
doaj   +1 more source

Homogenization of some degenerate pseudoparabolic variational inequalities

, 2018
Multiscale analysis of a degenerate pseudoparabolic variational inequality, modelling the two-phase flow with dynamical capillary pressure in a perforated domain, is the main topic of this work.
Ptashnyk, Mariya
core   +1 more source

A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis

Advances in Difference Equations, 2019
In this paper, we develop the lower order stabilized finite element methods for the incompressible flow with the slip boundary conditions of friction type whose weak solution satisfies a variational inequality.
Jian Li, Haibiao Zheng, Qingsong Zou
doaj   +1 more source

Numerical Analysis of an Osseointegration Model

Mathematics, 2020
In this work, we study a bone remodeling model used to reproduce the phenomenon of osseointegration around endosseous implants. The biological problem is written in terms of the densities of platelets, osteogenic cells, and osteoblasts and the ...
Jacobo Baldonedo, José R. Fernández, Abraham Segade   +2 more
doaj   +1 more source

Weighted cscK metrics (I): A priori estimates

Journal of Functional Analysis
There was a mistake in Lemma 5.5 and Lemma 5.6 where an important term in the estimates was wrongly neglected. We corrected them.
Eleonora Di Nezza, Simon Jubert, Abdellah Lahdili   +2 more
openaire   +3 more sources

A priori error estimates for the optimal control of laser surface hardening of steel [PDF]

, 2010
A priori error estimates for the optimal control of laser surface hardening of ...
Amiya K, Gupta Nupur, Nataraj Neela, Neela Nataraj A. K. Pani, Nupur Gupta, Pani Amiya K   +5 more
core   +1 more source