Results 21 to 30 of about 52,070 (265)
3D THz-TDS SAR Imaging by an Inverse Synthetic Cylindrical Aperture
IEEE Access, 2023 Terahertz time-domain spectroscopy (THz-TDS) is a promising tool for high-resolution 3D imaging of objects due to the high center frequency and bandwidth compared to microwave systems.
Dilyan Damyanov +5 more
doaj +1 more source
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
openaire +2 more sources
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
doaj +1 more source
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
openaire +3 more sources
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
openaire +4 more sources
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
openaire +1 more source
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
doaj +1 more source
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
openaire +3 more sources
Multiplicity results for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Using the mountain pass theorem combined with the Ekeland variational principle, we obtain at least two distinct, non-trivial weak solutions for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities.
Nguyen Thanh Chung
doaj +1 more source
A class of non-cylindrical domains for parabolic equations
, 2017 We present a class of non-cylindrical domains where Dirichlet-type problems for parabolic equations, such as the heat equation, can be posed and solved. The regularity for the boundary of this class of domains is a mixed Lipschitz condition, as described in the bulk of the paper. The main tool is an adequate version of the implicit function theorem for
Domínguez Corella, Alberto +1 more
openaire +3 more sources