Results 31 to 40 of about 10,780,423 (379)
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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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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Strong solutions for two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems [PDF]
, 2013 A well-known diffuse interface model for incompressible isothermal mixtures of two immiscible fluids consists of the Navier-Stokes system coupled with a convective Cahn-Hilliard equation.
Frigeri, Sergio +2 more
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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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On the uniqueness of weak solution for the 2-D Ericksen--Leslie system
, 2016 In this paper, we prove the uniqueness of weak solutions to the two dimensional full Ericksen-Leslie system with the Leslie stress and general Ericksen stress under the physical constrains on the Leslie coefficients. This question remains unknown even in
Meng Wang, Wendong Wang, Zhifei Zhang
semanticscholar +1 more source
Two-dimensional incompressible ideal flows in a noncylindrical material domain [PDF]
, 2007 The purpose of this work is to prove existence of a weak solution of the two dimensional incompressible Euler equations on a noncylindrical domain consisting of a smooth, bounded, connected and simply connected domain undergoing a prescribed motion.
Fernandes, Flavia Z. +1 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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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
Regularity of H\"older continuous solutions of the supercritical quasi-geostrophic equation
, 2007 We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ($\alpha< 1/2$) dissipation $(-\Delta)^\alpha$ : If a Leray-Hopf weak solution is H\"{o}lder continuous $\theta\in C^\delta({\mathbb R}^2)$ with ...
Caffarelli +23 more
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Journal of Optimization, Differential Equations and Their ApplicationsIn this paper we establish uniqueness of the weak solutions of nonlinear stochastic functional differential equations of neutral type in Hilbert spaces.
Z. P. Khaletska +3 more
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