Results 11 to 20 of about 19,819 (247)
Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary
Mathematics, 2023 In this paper, exact null controllability of one-dimensional wave equations in non-cylindrical domains was discussed. It is different from past papers, as we consider boundary conditions for more complex cases.
Lizhi Cui, Jing Lu
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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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Case Studies in Thermal Engineering, 2022 The mutual interaction of thermal stratification and solutal stratification in mixed convection flow regimes claims many thermal engineering standpoints in daily life and so holds the interest of researchers in the thermal science of fluid flows.
Khalil Ur Rehman, Wasfi Shatanawi
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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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Nonlinear Analysis, 2021 The paper deals with a stationary non-Newtonian flow of a viscous fluid in unbounded domains with cylindrical outlets to infinity. The viscosity is assumed to be smoothly dependent on the gradient of the velocity.
Grigory Panasenko +2 more
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On the Exact Boundary Control for the Linear Klein-Gordon Equation in Non-cylindrical Domains
Trends in Computational and Applied Mathematics, 2020 The purpose of this paper is to study an exact boundary controllability problem in noncylindrical domains for the linear Klein-Gordon equation. Here, we work near of the extension techniques presented By J.
R. S. O. Nunes
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Variational Equations of Schroedinger-Type in Non-cylindrical Domains
Journal of Differential Equations, 2001 The boundary value problem \[ u(x, t)_t- i\sum (a_{ij}(x, t) u(x,t)_{x_i})_{x_j}- c(x,t) u(x,t)= f(x,t)\;\text{in }Q, \] \[ u(x,t)= 0\;\text{on }\Sigma,\quad u(x,0)= u_0(x)\;\text{on }Q_0, \] is investigated, where \(Q\subset \mathbb{R}^n\times (0,T)\) is an open subset (with the lateral boundary denoted by \(\Sigma\)) whose sections \(Q_t\) (\(t ...
BERNARDI, MARCO LUIGI +2 more
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Logarithmic wave equations in non-cylindrical domains
, 2021 This paper is devoted to studying a type of logarithmic wave equation in non-cylindrical domains. Firstly, by the penalty method, we prove the existence of weak solutions to such kind of equations. Secondly, different from the dissipative wave equation, the energy defined in this problem is not always positive.
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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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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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