Results 31 to 40 of about 210,860 (290)
Weak solutions of parabolic equations in non-cylindrical domains [PDF]
Proceedings of the American Mathematical Society, 1997 In their classical work, Ladyzhenskaya and Ural ′ ’
Brown, Russell M. +2 more
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Weak solutions of fractional differential equations in non cylindrical domains
Nonlinear Analysis: Real World Applications, 2017 We study a time fractional heat equation in a noncylindrical domain. The problem is one-dimensional. We prove existence of properly defined weak solutions by means of the Galerkin approximation.
A. Kubica, P. Rybka, K. Ryszewska
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Abstract and Applied Analysis, 2013 We study Kirchhoff plates equations with viscoelastic boundary conditions in a noncylindrical domain. This work is devoted to proving the global existence, uniqueness of solutions, and decay of the energy of solutions for Kirchhoff plates equations in a ...
Jum-Ran Kang
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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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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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Construction of a Right Inverse for the Divergence in Non-cylindrical Time Dependent Domains
Annals of PDE, 2023 AbstractWe construct a stable right inverse for the divergence operator in non-cylindrical domains in space-time. The domains are assumed to be Hölder regular in space and evolve continuously in time. The inverse operator is of Bogovskij type, meaning that it attains zero boundary values.
Olli Saari, Sebastian Schwarzacher
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EXACT OBSERVABILITY OF A 1D WAVE ON A NON-CYLINDRICAL DOMAIN [PDF]
, 2021 We discuss admissibility and exact observability estimates of boundary observation and interior point observation of a one-dimensional wave equation on a time dependent domain for sufficiently regular boundary functions.
HOANG, Duc-Trung, HAAK, Bernhard
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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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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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Fully non-linear simulation of second-order resonance in a three-dimensional tank using the PSME method [PDF]
, 2012 Sloshing occurs when a partially filled tank is subject to external excitation. If the excitation frequency is equal to half of the second-order natural frequency obtained from the linear theory, then second-order resonance may occur.
Borthwick, Alistair G. L. +2 more
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