Results 11 to 20 of about 2,496,982 (281)

Analysis of the Brinkman-Forchheimer equations with slip boundary conditions [PDF]

open access: yes, 2007
In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization combined with the Faedo-Galerkin approach.
Augusto Litonjua   +16 more
core   +6 more sources

On Solution of Boundary Value Problems via Weak Contractions

open access: yesJournal of Function Spaces, 2022
The aim is to present a new relational variant of fixed point result that generalizes various fixed point results of the existing theme for contractive type mappings.
Gopi Prasad, Hüseyin Işik
doaj   +1 more source

The regularity criterion for weak solutions to the n-dimensional Boussinesq system

open access: yesBoundary Value Problems, 2017
We consider the Boussinesq system in the homogeneous spaces of degree −1. To narrow the gap for the existence of small regular solutions in B ˙ ∞ , ∞ − 1 ( R n ) $\dot{B}^{-1}_{\infty,\infty}(\mathbb{R}^{n})$ , the biggest homogeneous space of degree −1 ...
Xiaona Cui
doaj   +1 more source

Solvability of Parametric Elliptic Systems with Variable Exponents

open access: yesMoroccan Journal of Pure and Applied Analysis, 2023
In this paper, we study the solvability to the left of the positive infimum of all eigenvalues for some non-resonant quasilinear elliptic problems involving variable exponents.
Ouannasser Anass   +1 more
doaj   +1 more source

Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics [PDF]

open access: yes, 1998
The first regular exact black hole solution in General Relativity is presented. The source is a nonlinear electrodynamic field satisfying the weak energy condition, which in the limit of weak field becomes the Maxwell field. The solution corresponds to a
A. A. Tseytlin   +17 more
core   +2 more sources

A Time-Fractional Differential Inequality of Sobolev Type on an Annulus

open access: yesAxioms, 2023
Several phenomena from natural sciences can be described by partial differential equations of Sobolev-type. On the other hand, it was shown that in many cases, the use of fractional derivatives provides a more realistic model than the use of standard ...
Amal Alshabanat   +3 more
doaj   +1 more source

An analytic solution for weak-field Schwarzschild geodesics [PDF]

open access: yes, 2010
It is well known that the classical gravitational two body problem can be transformed into a spherical harmonic oscillator by regularization. We find that a modification of the regularization transformation has a similar result to leading order in ...
Aarseth   +26 more
core   +1 more source

The asymptotic behavior of solutions to a class of inhomogeneous problems: an Orlicz–Sobolev space approach

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
The asymptotic behavior of the sequence $\{v_n\}$ of nonnegative solutions for a class of inhomogeneous problems settled in Orlicz–Sobolev spaces with prescribed Dirichlet data on the boundary of domain $\Omega$ is analysed.
Andrei Grecu, Denisa Stancu-Dumitru
doaj   +1 more source

ASYMMETRIC IMPURITY SEGREGATION IN MULTI-LAYERED FILMS [PDF]

open access: yesФизико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2013
Peculiarities of segregation of impurities at the boundaries of a thin film separating two different solid materials are considered. Theoretical and numerical analysis of kinetics of impurity redistribution within the film and at the boundaries has been ...
I.M. Davydova   +2 more
doaj  

Regularity of weak solutions to rate-independent systems in one-dimension [PDF]

open access: yes, 2012
We show that under some appropriate assumptions, every weak solution (e.g. energetic solution) to a given rate-independent system is of class SBV, or has fi nite jumps, or is even piecewise C1.
Mach Nguyet Minh, Mach Nguyet Minh
core   +2 more sources

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