Results 51 to 60 of about 2,994 (165)
Nonlocal‐to‐local convergence for a Cahn–Hilliard tumor growth model
GAMM-Mitteilungen, Volume 48, Issue 2, June 2025.Abstract We consider a local Cahn–Hilliard‐type model for tumor growth as well as a nonlocal model where, compared to the local system, the Laplacian in the equation for the chemical potential is replaced by a nonlocal operator. The latter is defined as a convolution integral with suitable kernels parametrized by a small parameter.
Christoph Hurm, Maximilian Moser
wiley +1 more source
Observer-Based Synchronization Control for Coronary Artery Time-Delay Chaotic System
IEEE Access, 2019 This paper researches observer-based H∞ synchronization of coronary artery system with input, output time-delays, and external disturbance. By designing chaotic observers for both the master system and slave system, the estimation of the states ...
Jie Guo +4 more
doaj +1 more source
Wellposedness for density-dependent incompressible viscous fluids on the torus $\T^3$ [PDF]
, 2015 We investigate the local wellposedness of incompressible inhomogeneous Navier-Stokes equations on the Torus $\T^3$, with initial data in the critical Besov spaces. Under some smallness assumption on the velocity in the critical space $B^{\frac{1}{2}}\_{2,
Poulon, Eugénie
core +2 more sources
Application of De La Vallée Poussin Type Inequalities to Half‐Linear Euler Type Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9332-9339, 30 May 2025.ABSTRACT The paper is devoted to the application of de la Vallée Poussin type inequalities to half‐linear differential Euler type equations. Four studied equations seen as perturbations of the nonoscillatory Euler equation with the oscillation constant are considered, and a new theorem for the cases where the perturbation is in both terms is presented.
Zuzana Pátíková
wiley +1 more source
Advances in Difference Equations, 2020 In this paper, we are concerned with a class of quaternion-valued cellular neural networks with time-varying transmission delays and leakage delays. By applying a continuation theorem of coincidence degree theory and the Wirtinger inequality as well as ...
Yongkun Li, Jianglian Xiang
doaj +1 more source
Discrete quadratic Wirtinger's inequalities
Linear Algebra and its Applications, 1987 This paper is concerned with inequalities of Wirtinger's type involving sequences and their first differences. We view these inequalities as consequences of minimizing and/or maximizing quadratic forms under boundary constraints. As a consequence, we can approach these inequalities by means of the associated difference equations and obtain results ...
openaire +2 more sources
On Asymptotic Behaviors of Acoustic Waves Due to High‐Contrast Material Inclusions
Studies in Applied Mathematics, Volume 154, Issue 4, April 2025.ABSTRACT This paper investigates the asymptotic behaviors of time‐harmonic acoustic waves generated by an incident wave illuminating inhomogeneous medium inclusions with high‐contrast material parameters. We derive sharp asymptotic estimates and obtain several effective acoustic obstacle scattering models when the material parameters take extreme ...
Yueguang Hu, Hongyu Liu
wiley +1 more source
Complexity, 2019 This study seeks to address the finite-time robust stability of delayed genetic regulatory networks (GRNs) with uncertain parameters and reaction-diffusion terms.
Wenqin Wang +3 more
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International Journal of Applied Mathematics and Computer Science, 2020 A class of Clifford-valued high-order Hopfield neural networks (HHNNs) with state-dependent and leakage delays is considered. First, by using a continuation theorem of coincidence degree theory and the Wirtinger inequality, we obtain the existence of ...
Huo Nina, Li Bing, Li Yongkun
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Augmented Total Variation Regularization in Radon‐Type Inverse Problems
Studies in Applied Mathematics, Volume 154, Issue 4, April 2025.ABSTRACT We introduce the augmented total variation (TV$TV$) regularization method for Radon‐type inverse problems. Our novel approach incorporates a dual variable into the regularization process, thereby extending and essentially augmenting traditional TV$TV$ regularization techniques.
Nicholas E. Protonotarios +3 more
wiley +1 more source