Results 141 to 150 of about 8,945 (319)
Dimension of the set of positive solutions to nonlinear equations and applications
Electronic Journal of Differential Equations, 2016 We study the covering dimension of the set of (positive) solutions to various classes of nonlinear equations involving condensing and A-proper maps. It is based on the nontriviality of the fixed point index of a certain condensing map or on oddness ...
Petronije S. Milojevic
doaj
Mathematical and Numerical Analysis of a Pair of Coupled Cahn-Hilliard Equations with a Logarithmic Potential [PDF]
, 2010 Mathematical and numerical analysis has been undertaken for a pair of coupled Cahn-Hilliard equations with a logarithmic potential and with homogeneous Neumann boundary conditions. This pair of coupled equations arises in a phase separation model of thin
AL-GHAFLI, AHMED,ALI,M
core
Multiplicity results for nonlinear elliptic equations
Electronic Journal of Differential Equations, 2006 Let $Omega$ be a bounded domain in $mathbb{R}^{N}$, $Ngeq 3$, and $p=frac{2N}{N-2}$ the limiting Sobolev exponent. We show that for $fin H^1_0(Omega)^ast$, satisfying suitable conditions, the nonlinear elliptic problem $$displaylines{ -Delta u =|u |^{ p ...
Samira Benmouloud +2 more
doaj
Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT To enhance the structural robustness of bridges, a rocking arch‐shaped segmental pier with a double sliding system was previously proposed as a low‐cost solution to protect bridges in developing countries. The rocking behavior is triggered by halting the sliding motion, which increases the horizontal load‐bearing capacity and limits ...
Shengming Feng +6 more
wiley +1 more source
Multicontinuum Homogenization for Poroelasticity Model
International Journal for Numerical Methods in Fluids, EarlyView.This work derives a generalized multicontinuum poroelasticity model using the multicontinuum homogenization method to enable accurate coarse‐grid simulations of coupled flow–mechanics processes in highly heterogeneous porous media. Coupled constraint cell problems are formulated, and the corresponding multicontinuum equations are rigorously derived ...
Dmitry Ammosov +2 more
wiley +1 more source
Nonlinear boundary conditions for elliptic equations
Electronic Journal of Differential Equations, 2005 This work is devoted to the study of the elliptic equation $Delta u = f(x,u)$ in a bounded domain $Omegasubset mathbb{R}^n$ with a nonlinear boundary condition.
Osvaldo Mendez +2 more
doaj
Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization.
PLoS ONEBy using the power-exponential function method and the extended hyperbolic auxiliary equation method, we present the explicit solutions of the subsidiary elliptic-like equation.
Bacui Li, Fuzhang Wang, Sohail Nadeem
doaj +1 more source
International Journal for Numerical Methods in Fluids, EarlyView.A three‐dimensional fluid‐structure interaction (FSI) framework is developed using the geometric volume‐of‐fluid (VOF) interface capturing method and applied to assess largescale turbulent FSI interactions. The monolithic FSI framework is extensively validated, and despite the discontinuities across the interface, the FSI framework delivers stable and ...
Soham Prajapati +2 more
wiley +1 more source
Lp(.),lambda(.) regularity for fully nonlinear elliptic equations
, 2017 We establish the variable exponent Morrey spaces L-p(.),L-lambda(.) estimate to the Dirichlet problem for fully nonlinear elliptic equations on a C-1,C-1 bounded domain for variable exponents p(.) and lambda(.). (C) 2016 Elsevier Ltd. All rights reserved.
Tang, Lin
core +1 more source
Subspace Acceleration for Efficient Nonlinear Water Wave Simulation
International Journal for Numerical Methods in Fluids, EarlyView.We introduce an exponentially weighted subspace acceleration technique to reduce GMRES iterations for solving the Poisson equation with time‐dependent coefficients in nonlinear, dispersive free‐surface flows governed by the incompressible Navier‐Stokes equations. The method significantly reduces memory requirements and computational complexity compared
Rasmus Kleist Hørlyck Sørensen +3 more
wiley +1 more source