Results 11 to 20 of about 2,496,982 (281)
Analysis of the Brinkman-Forchheimer equations with slip boundary conditions [PDF]
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
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On Solution of Boundary Value Problems via Weak Contractions
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
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The regularity criterion for weak solutions to the n-dimensional Boussinesq system
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
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Solvability of Parametric Elliptic Systems with Variable Exponents
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
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Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics [PDF]
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
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A Time-Fractional Differential Inequality of Sobolev Type on an Annulus
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
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An analytic solution for weak-field Schwarzschild geodesics [PDF]
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
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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
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ASYMMETRIC IMPURITY SEGREGATION IN MULTI-LAYERED FILMS [PDF]
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]
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
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