Results 271 to 280 of about 639,340 (301)

Stability for the beam equation with memory in non‐cylindrical domains

Mathematical Methods in the Applied Sciences, 2004
AbstractIn this paper, we prove the exponential decay as time goes to infinity of regular solutions of the problem for the beam equation with memory and weak damping where ${\hat{Q}}$ is a non‐cylindrical domains of ℝn+1 (n⩾1) with the lateral boundary ${\hat{\sum}}$ and α is a positive constant. Copyright © 2004 John Wiley & Sons, Ltd.
Ferreira, J., Santos, M. L., Matos, M. P.   +2 more
openaire   +2 more sources

Beam evolution equation with variable coefficients in non‐cylindrical domains

Mathematical Methods in the Applied Sciences, 2007
AbstractIn this article, we present results concerning with the existence of global solutions and a rate decay estimate for energy associated with an initial and boundary value problem for a beam evolution equation with variable coefficients in non‐cylindrical domains. Copyright © 2007 John Wiley & Sons, Ltd.
C. S. Q. De Caldas, J. Límaco, R. K. Barreto   +2 more
openaire   +1 more source

Response of thermoelastic cylindrical cavity in a non-local infinite medium due to a varying heat source

Waves in Random and Complex Media, 2020
The current paper is concerned with a new size-dependent thermoelastic model where the constitutive and the motion equations are modified. The governing equations of the introduced model are derived based on the generalized dual-phase-lag thermoelastic ...
A. Abouelregal
semanticscholar   +1 more source

The Dirichlet problem for second order parabolic operators in non‐cylindrical domains

Mathematische Nachrichten, 2010
AbstractIn this paper we develope a perturbation theory for second order parabolic operators in non‐divergence form. In particular we study the solvability of the Dirichlet problem in non cylindrical domains with Lp ‐data on the parabolic boundary (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ARGIOLAS, ROBERTO, A. PIRO GRIMALDI
openaire   +3 more sources

Time-dependent parabolic problems on non-cylindrical domains with inhomogeneous boundary conditions

Journal of Evolution Equations, 2001
The authors introduce a method for solving parabolic problems with nonhomogeneous boundary values in non-cylindrical domains. Their starting point is a result of Arendt and Bénilan which says that if \(\Omega\) is a bounded open subset of \(\mathbb R^n\) and if \(A\) is a second-order, uniformly elliptic operator in divergence form then the Dirichlet ...
Lumer, Günter, Schnaubelt, Roland
openaire   +1 more source

Discontinuous Galerkin methods for the linear Schrödinger equation in non-cylindrical domains

Numerische Mathematik, 2010
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Antonopoulou, D. C., Plexousakis, M.
openaire   +1 more source

Absolute continuity of parabolic measure and area integral estimates in non-cylindrical domains

Indiana University Mathematics Journal, 2003
The author consider the operator \[ Lu=-\frac{\partial u}{\partial t}+\text{div}A\cdot\nabla u, \] where \(A(X,t)=(a_{ij}(X,t))\) is a symmetric \(n\times n\) matrix of bounded measurable real-valued functions defined on \(\mathbb R^{n+1}\) satisfying, for \(\xi\in\mathbb R^n\) and \((X,t)\in\mathbb R^{n+1}\) the condition \(\lambda| \xi| ^2\leq\sum_{i,
openaire   +2 more sources

Transient response of functionally graded non-uniform cylindrical helical rods

, 2021
Yavuz Cetin Cuma, Faruk Firat Calim
semanticscholar   +1 more source

The first boundary-value problem for a fractional diffusion-wave equation in a non-cylindrical domain

, 2017
A. Pskhu
semanticscholar   +1 more source

Observability of the 1-D Wave Equation with Mixed Boundary Conditions in a Non-cylindrical Domain

, 2018
Abdelmouhcene Sengouga
semanticscholar   +1 more source