Results 151 to 160 of about 484,592 (357)

Nonlocal Mixed Systems With Neumann Boundary Conditions

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We prove well posedness and stability in L1$$ {\mathbf{L}}^1 $$ for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to L1$$ {\mathbf{L}}^1 $$ of classical results about ...
Rinaldo M. Colombo, Elena Rossi, Abraham Sylla   +2 more
wiley   +1 more source

Regularity of the Eikonal Equation with Neumann Boundary Conditions in the Plane: Application to Fronts with Nonlocal Terms [PDF]

, 2006
Pierre Cardaliaguet, Claudio Marchi
openalex   +1 more source

Generalized φ$$ \varphi $$‐Pullback Attractors in Time‐Dependent Spaces: Application to a Nonautonomous Wave Equation With Time‐Dependent Propagation Velocity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan, Carlos Pecorari Neto, Heraclio López Lázaro, Paulo N. Seminario Huertas   +3 more
wiley   +1 more source

Attractors for an Energy‐Damped Viscoelastic Plate Equation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso, M. J. D. Nascimento, M. L. Pelicer, I. A. S. Picolli   +3 more
wiley   +1 more source

Behavior of Solutions of Burgers′ Equation with Nonlocal Boundary Conditions

Journal of Differential Equations, 1994
AbstractIn this paper, we discuss the long-time behavior of positive solutions of Burgers′ equation ut = uxx + ϵuux, 0 < x < 1, ϵ > 0, t > 0 with the nonlocal boundary condition: u(0, t) = 0, ux(1, t) + 12ϵu2(1, t) = aup(1, t) (∫10u(x, t) dx)q, where 0 < p < ∞, 0 < q < ∞. Criteria for stability are given.
openaire   +2 more sources

Effect of Orthotropic Variable Foundations and Unconventional Support Conditions on Nonlinear Hygrothermoelectric Vibration of Porous Multidirectional Piezoelectric Functionally Graded Nonuniform Plate

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This article investigates the nonlinear vibration behavior of porous multidirectional piezoelectric functionally graded nonuniform (PFGN) plates resting on orthotropic variable elastic foundations and subjected to hygrothermal loading. The sigmoidal law is employed to define the multidirectional gradation properties, incorporating porosity ...
Pawan Kumar, Sontipee Aimmanee, Suraj Prakash Harsha   +2 more
wiley   +1 more source

How to Approximate the Heat Equation with Neumann Boundary Conditions by Nonlocal Diffusion Problems [PDF]

, 2007
Carmen Cortázar, Manuel Elgueta, Julio D. Rossi, Noemí Wolanski   +3 more
openalex   +1 more source

Nucleation and Propagation of Traveling Charge Domains in a Planar AlGaN/GaN Triode Structure

physica status solidi (a), EarlyView.
This work presents a novel model for the nucleation of charge domain instabilities in semiconductors exhibiting negative differential drift velocity, identifying diffusion as the key factor inhibiting domain formation. A planar Gunn triode structure is proposed which overcomes obstacles to the realization of GaN‐based Gunn effect devices with ...
Jonathan Sculley, P. Douglas Yoder
wiley   +1 more source

Magnetic Hopfions as Local Rotations of the Uniform Magnetization Background

physica status solidi (RRL) – Rapid Research Letters, EarlyView.
The Hopf mapping of 3D coordinate space to the unit sphere m2 = 1 in the magnetization space m(r) can be parametrized by some angles. These angles are used to define a local rotation matrix to restore the hopfion magnetization configuration from the uniformly magnetized state for any Hopf indices.
Konstantin Y. Guslienko
wiley   +1 more source

Nonfragile Sliding Mode Control of Fractional‐Order Complex Networked Systems via Combination Event‐Triggered Approach

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This work addresses the problem of developing a nonfragile sliding mode observer for fractional‐order complex networked systems (FO‐CNS) under stochastic network attacks. The proposed approach employs a combination of event‐triggered techniques. First, a nonfragile fractional‐order state observer is developed, enabling the design of a suitable
Xin Meng, Baoping Jiang, Hamid Reza Karimi   +2 more
wiley   +1 more source