Results 21 to 30 of about 20,710 (241)
Pullback attractors for a semilinear heat equation in a non-cylindrical domain
Journal of Differential Equations, 2008 The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption that the spatial domains are bounded and increase with time.
Kloeden, Peter E. +2 more
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p-Laplacian wave equations in non-cylindrical domains
, 2021 This paper is devoted to studying the stability of p-Laplacian wave equations with strong damping in non-cylindrical domains. The method of proof based on some estimates for time-varying coefficients rising from moving boundary and a modified Kormonik inequality.
Liu, Lingyang, Gao, Hang
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Enhanced diffusion and non-Gaussian dynamics in driven magnetic nanoparticles
Physical Review Research, 2020 We investigate the out-of-equilibrium dynamics of paramagnetic colloidal nanoparticles driven above a triangular lattice of cylindrical ferromagnetic domains. We use an external precessing magnetic field to create a dynamic energy landscape which propels
Ralph Lukas Stoop, Pietro Tierno
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On a Problem Connected with Navier-stokes Equations in Non Cylindrical Domains
Journal of Mathematics and Statistics, 2005 Summary: We showed the existence of weak solutions of equations that represent flows of a non-homogeneous viscous incompressible fluids in a non cylindrical domain in \(\mathbb R^3\). The classical Navier-Stokes equation is a particular case of the equations here considered.
Limaco, J. +3 more
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About the Benjamin-Bona-Mahony Equation in Domains with Moving Boundary
Trends in Computational and Applied Mathematics, 2007 In this article, we prove the existence of solutions for an hyperbolic equation known as the Benjamin-Bona-Mahony equation. Our study involves increasing, decreasing, and mixed non-cylindrical domains and for this analysis, our main tools are the change ...
C.S.Q. Caldas +3 more
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Factorization of linear elliptic boundary value problems in non-cylindrical domains [PDF]
Comptes Rendus. Mathématique, 2011 We present a method of factorization for linear elliptic boundary value problems considered in non-cylindrical domains. We associate a control problem to the boundary value problem which regularizes it. The technique of change of variables is used to study this problem.
Henry, Jacques +2 more
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Fredholmness of an abstract differential equation of elliptic type
Electronic Journal of Qualitative Theory of Differential Equations, 2004 In this work, we obtain algebraic conditions which assure the Fredholm solvability of an abstract differential equation of elliptic type. In this respect, our work can be considered as an extension of Yakubov's results to the case of boundary conditions ...
A. Aibeche
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Capillary Surfaces in Non-Cylindrical Domains
Zeitschrift für Analysis und ihre Anwendungen, 2000 This paper is concerned with the capillary problem in a class of non-cylindrical domains in K \subset \mathbb R^{n+1} obtained by scaling a bounded cross-section \Omega \subset \mathbb R^n
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General Fractional Vector Calculus
Mathematics, 2021 A generalization of fractional vector calculus (FVC) as a self-consistent mathematical theory is proposed to take into account a general form of non-locality in kernels of fractional vector differential and integral operators.
Vasily E. Tarasov
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Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers
Applied Sciences, 2020 We propose a coupled thermoelastic approach based on the Lord-Shulman (L-S) and Maxwell’s formulations to study the wave propagation in functionally graded (FG) cylindrical panels with piezoelectric layers under a thermal shock loading.
Yasin Heydarpour +3 more
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