Results 31 to 40 of about 9,477 (197)

Combined effects for non-autonomous singular biharmonic problems

open access: yes, 2020
We study the existence of nontrivial weak solutions for a class of generalized $p(x)$-biharmonic equations with singular nonlinearity and Navier boundary condition. The proofs combine variational and topological arguments.
Repovš, Dušan D.   +1 more
core   +2 more sources

Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions [PDF]

open access: yesOpuscula Mathematica, 2014
We prove a dichotomy result giving the positivity preserving property for a biharmonic equation with Dirichlet boundary conditions arising in MEMS models. We adapt some ideas in [H.-Ch. Grunau, G.
Hanen Ben Omrane, Saïma Khenissy
doaj   +1 more source

A Reformulation of the Biharmonic Map Equation [PDF]

open access: yesThe Journal of Geometric Analysis, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hornung, Peter, Moser, Roger
openaire   +2 more sources

Recent Developments in Chen’s Biharmonic Conjecture and Some Related Topics

open access: yesMathematics
The study of biharmonic submanifolds in Euclidean spaces was introduced in the middle of the 1980s by the author in his program studying finite-type submanifolds.
Bang-Yen Chen
doaj   +1 more source

On solution of boundary value problem for non-homogenous biharmonic equation in domains of complicated shape

open access: yesVìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2010
An algorithm for self-regularization of Fredholm integral equations of first kindboundary value problem for biharmonic equation is obtained.
L. V. Voloshko   +2 more
doaj   +1 more source

Computing Skinning Weights via Convex Duality

open access: yesComputer Graphics Forum, EarlyView.
We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley   +1 more source

ON APPROXIMATION OF STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM IN COEFFICIENTS FOR p-BIHARMONIC EQUATION

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2018
We study a Dirichlet-Navier optimal design problem for a quasi-linear mono- tone p-biharmonic equation with control and state constraints. The coecient of the p-biharmonic operator we take as a design variable in BV ( )\L1( ).
Peter I. Kogut, Olha P. Kupenko
doaj   +1 more source

Biharmonic hypersurfaces in Riemannian manifolds [PDF]

open access: yes, 2009
We study biharmonic hypersurfaces in a generic Riemannian manifold. We first derive an invariant equation for such hypersurfaces generalizing the biharmonic hypersurface equation in space forms studied in \cite{Ji2}, \cite{CH}, \cite{CMO1}, \cite{CMO2 ...
Ye-lin Ou, Ye-lin Ou, Ye-lin Ou
core   +2 more sources

Biharmonic pattern selection

open access: yes, 1992
A new model to describe fractal growth is discussed which includes effects due to long-range coupling between displacements $u$. The model is based on the biharmonic equation $\nabla^{4}u =0$ in two-dimensional isotropic defect-free media as follows from
A. Arneodo   +27 more
core   +1 more source

The Climate Modeling Alliance Atmosphere Dynamical Core: Concepts, Numerics, and Scaling

open access: yesJournal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.
Abstract This paper presents the dynamical core of the Climate Modeling Alliance (CliMA) atmosphere model, designed for efficient simulation of a wide range of atmospheric flows across scales. The core uses the nonhydrostatic equations of motion for a deep atmosphere, discretized with a hybrid approach that combines a spectral element method (SEM) in ...
Dennis Yatunin   +18 more
wiley   +1 more source

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