Results 21 to 30 of about 2,506,197 (280)
Analysis of the Brinkman-Forchheimer equations with slip boundary conditions [PDF]
, 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
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Fractal and Fractional, 2021 This paper is devoted to the fundamental problem of investigating the solvability of initial-boundary value problems for a quasi-linear pseudo-parabolic equation of fractional order with a sufficiently smooth boundary.
Serik E. Aitzhanov +2 more
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On Solution of Boundary Value Problems via Weak Contractions
Journal 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
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The regularity criterion for weak solutions to the n-dimensional Boussinesq system
Boundary 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
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Solvability of Parametric Elliptic Systems with Variable Exponents
Moroccan 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
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Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics [PDF]
, 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
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A Time-Fractional Differential Inequality of Sobolev Type on an Annulus
Axioms, 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
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Electronic 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
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ASYMMETRIC IMPURITY SEGREGATION IN MULTI-LAYERED FILMS [PDF]
Физико-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
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Weak solutions with unbounded variation [PDF]
Proceedings of the American Mathematical Society, 1973 To solve a quasilinear system of hyperbolic partial differential equations with given initial data, the usual procedure is to approximate the initial data, solve the resulting problems, and show that the variation of the approximating solutions is uniformly bounded. A limiting process then can be used.
openaire +1 more source