Results 61 to 70 of about 6,469 (186)
, 2011 Based on Makino's solutions with radially symmetry, we extend the corresponding ones with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R^{N} (N\geq2).
Yuen, Manwai
core +1 more source
Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan‐Taylor damping
Abstract and Applied Analysis, Volume 1, Issue 1, Page 83-102, 1996., 1996 In this paper we study a hinged, extensible, and elastic nonlinear beam equation with structural damping and Balakrishnan‐Taylor damping with the full exponent 2(n + β) + 1. This strongly nonlinear equation, initially proposed by Balakrishnan and Taylor in 1989, is a very general and useful model for large aerospace structures.
Yuncheng You
wiley +1 more source
Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation
Advances in Nonlinear Analysis, 2023 In this article, we study the asymptotic behaviour at infinity for viscosity solutions to a singular Monge-Ampère equation in half space from affine geometry.
Jian Huaiyu, Wang Xianduo
doaj +1 more source
, 2020 The outflow problem for the viscous two-phase flow model in a half line is investigated in the present paper. The existence and uniqueness of the stationary solution is shown for both supersonic state and sonic state at spatial far field, and the ...
Haiyang Zhao
semanticscholar +1 more source
Existence result for a new class of Kirchhoff elliptic system with variable parameters
Miskolc Mathematical Notes, 2020 The paper studies the existence result for a new class of Kirchhoff elliptic system with variable parameters in the right hand side. Sub-super solutions method are used for proving the main result.
M. Haiour +3 more
semanticscholar +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 1-24, 1995., 1993 For nonlinear parabolic evolution equations, it is proved that, under the assumptions of local Lipschitz continuity of nonlinearity and the dissipativity of semiflows, there exist approximate inertial manifolds (AIM) in the energy space and that the approximate inertial manifolds are constructed as the graph of the steady‐state determining mapping ...
Yuncheng You
wiley +1 more source
Anomalous pseudo-parabolic Kirchhoff-type dynamical model
Advances in Nonlinear Analysis, 2021 In this paper, we study an anomalous pseudo-parabolic Kirchhoff-type dynamical model aiming to reveal the control problem of the initial data on the dynamical behavior of the solution in dynamic control system. Firstly, the local existence of solution is
Dai Xiaoqiang +3 more
doaj +1 more source
Properties of entire solutions of some linear PDE's
, 2017 In this paper, there are improved sufficient conditions of boundedness of the L-index in a direction for entire solutions of some linear partial differential equations. They are new even for the one-dimensional case and 1.
Andriy Ivanovych Bandura +2 more
semanticscholar +1 more source
Asymptotically periodic solutions of semilinear fractional integro-differential equations
Advances in Differential Equations, 2014 In this paper, we study the existence of an -asymptotically ω-periodic mild solution of semilinear fractional integro-differential equations in Banach space, where the nonlinear perturbation is -asymptotically ω-periodic or -asymptotically ω-periodic in ...
Zhinan Xia
semanticscholar +1 more source
, 2020 We consider star-shaped tubular domains consisting of a number of non intersecting semi-infinite strips of small thickness that are connected by a central region of diameter proportional to the thickness of the strips.
P. Lions, P. Souganidis
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