Results 51 to 60 of about 1,212,620 (281)

Stability of initial-boundary value problem for quasilinear viscoelastic equations

Electronic Journal of Differential Equations, 2020
We investigate the stability of the initial-boundary value problem for the quasilinear viscoelastic equation $$\displaylines{ |u_t|^{\rho}u_{tt}-\Delta u_{tt}-\Delta u+\int_0^tg(t-s)\Delta u(s)ds=0, \quad \text{in }\Omega\times(0,+\infty),\cr u=0 ...
Kun-Peng Jin, Jin Liang, Ti-Jun Xiao
doaj  

Self-similarity and long-time behavior of solutions of the diffusion equation with nonlinear absorption and a boundary source

, 2012
This paper deals with the long-time behavior of solutions of nonlinear reaction-diffusion equations describing formation of morphogen gradients, the concentration fields of molecules acting as spatial regulators of cell differentiation in developing ...
A. D. Lander, A. Eldar, A. Gmira, A. Martinez-Arias, B. Kawohl, C. B. Muratov, C. E. Wayne, D. Gilbarg, D. Kinderlehrer, G. Dal Maso, G. I. Barenblatt, G. Sansone, G. T. Reeves, H. Brezis, H. Brézis, H. G. Othmer, J. Bricmont, J. P. Incardona, L. Herraiz, L. Oswald, L. Veron, M. Escobedo, M. Escobedo, M. Escobedo, M. H. Protter, M. Lucia, O. Wartlick, P. V. Gordon, S. Kamin, V. A. Galaktionov, Y. Chen   +30 more
core   +1 more source

Prevalence of Systemic Lupus Erythematosus in Australia, 2010–2022: A Population‐Based Study Using Linked National Administrative Health Data

Arthritis Care &Research, EarlyView.
Objective Systemic lupus erythematosus (SLE) is a heterogenous inflammatory condition with widely varying global prevalence estimates. The frequency of SLE in the general population of Australia has been reported to be notably lower than contemporary estimates in countries such as the United States or United Kingdom, at 19 to 39 per 100,000 as opposed ...
Lucinda Roper, Rachel Black, Joanna Tieu, Winnie Chen, Matthew Parker, Catherine Hill, Natasha Nassar, Mandana Nikpour   +7 more
wiley   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

New concepts of fractional Hahn’s q,ω $q,\omega $-derivative of Riemann–Liouville type and Caputo type and applications

Advances in Difference Equations, 2018
In this paper, we give the definitions of q,ω $q,\omega $-exponential function and q,ω $q,\omega $-gamma function. New concepts of fractional Hahn’s q,ω $q,\omega $-derivative of Riemann–Liouville type and Caputo type are introduced, meanwhile we discuss
Yizhu Wang, Yiding Liu, Chengmin Hou
doaj   +1 more source

Multigrid Method for Solving Inverse Problems for Heat Equation

Mathematics, 2022
In this paper, the inverse problems for the boundary value and initial value in a heat equation are posed and solved. It is well known that those problems are ill posed.
Hassan K. Ibrahim Al-Mahdawi, Mostafa Abotaleb, Hussein Alkattan, Al-Mahdawi Zena Tareq, Amr Badr, Ammar Kadi   +5 more
doaj   +1 more source

On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity [PDF]

, 2011
In this short note, we study the local well-posedness of a 3D model for incompressible Navier-Stokes equations with partial viscosity. This model was originally proposed by Hou-Lei in \cite{HouLei09a}.
Hou, Thomas Y., Shi, Zuoqiang, Wang, Shu
core   +1 more source

An Adaptive Human Pilot Model With Reaction Time Delay for Enhanced Adaptive Control in Piloted Systems

International Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley   +1 more source

A hyperbolic problem with nonlinear second-order boundary damping

Electronic Journal of Differential Equations, 1998
The initial boundary value problem for the wave equation with nonlinear second-order dissipative boundary conditions is considered. Existence and uniqueness of global generalized solutions are proved.
G. G. Doronin, N. A. Larkin, A. J. Souza
doaj  

A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller

International Journal of Adaptive Control and Signal Processing, EarlyView.
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg, Paulo Jefferson Dias de Oliveira Evald, Shivam Chaturvedi, Hilton Abilio Gründling, Rodrigo Varella Tambara, Wencong Su   +5 more
wiley   +1 more source