Results 111 to 120 of about 161,488 (234)

Matsumura‐Type Estimates and Global Solutions of a Fractional Wave Equation With Nonlocal Nonlinearity

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.
ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley   +1 more source

A Numerical Method Combining Cubic Interpolated Propagation and Shifted Grünwald–Letnikov for Fractional Advection–Dispersion Equations

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 8, Page 3546-3557, 10 June 2026.
ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas, André Luís Brasil Cavalcante   +1 more
wiley   +1 more source

A Riemann problem with small viscosity and dispersion

Electronic Journal of Differential Equations, 2006
In this paper we prove existence of global solutions to a hyperbolic system in elastodynamics, with small viscosity and dispersion terms and derive estimates uniform in the viscosity-dispersion parameters.
Kayyunnapara Thomas Joseph
doaj  

Capturing Complex Rate‐Dependent Behaviors of Saturated Clays: A Fractional Consistency Kinematic Hardening Viscoplastic Approach

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 8, Page 3281-3296, 10 June 2026.
ABSTRACT Saturated high plasticity clays show complex nonlinear, rate‐dependent, and hysteresis behaviors under non‐monotonic stress paths, requiring advanced mathematical constitutive equations for accurate description. Taking into account the inherent advantages of kinematic hardening mechanisms in simulating complex stress histories, this paper ...
Wei Cheng, Zhen‐Yu Yin
wiley   +1 more source

Gram Decay and Intrinsic Dimensions of Krylov Subspaces

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT Krylov subspace methods solve large sparse linear systems Ax=b$$ Ax=b $$ by building a sequence of polynomial approximations to A−1b$$ {A}^{-1}b $$ from successive matrix‐vector products. In finite precision, the number of numerically independent directions that can be extracted from this sequence is bounded by the intrinsic information ...
Stephen J. Thomas
wiley   +1 more source

Riemann Problem for a limiting system in elastodynamics

Electronic Journal of Differential Equations, 2014
This article concerns the resolution of the Riemann problem for a 2x2 system in nonconservative form exhibiting parabolic degeneracy. The system can be perceived as the limiting equation (depending on a parameter tending to 0) of a 2x2 strictly ...
Anupam Pal Choudhury
doaj  

Analysis of a Viscoplastic Burgers Equation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT We study a Burgers equation featuring an additional stress term that is governed by a positively 1$\hskip.001pt 1$‐homogeneous potential. This problem is motivated by the so‐called Hibler's sea ice model, which treats sea ice as a non‐Newtonian fluid, where the stress tensor includes such a term in order to account for the plastic response of ...
Marita Thomas, Xin Liu, Edriss Titi
wiley   +1 more source

Contact discontinuities in multi-dimensional isentropic Euler equations

Electronic Journal of Differential Equations, 2018
In this note we partially extend the recent nonuniqueness results on admissible weak solutions to the Riemann problem for the 2D compressible isentropic Euler equations.
Jan Brezina, Elisabetta Chiodaroli, Ondrej Kreml   +2 more
doaj  

Effects of Agomelatine on Sleep Across Populations: A Systematic Review and Meta‐Analysis

Journal of Sleep Research, Volume 35, Issue 3, June 2026.
ABSTRACT Agomelatine, a melatoninergic antidepressant, is often prescribed to improve sleep disturbance, though meta‐analytic evidence is currently lacking. This systematic review and meta‐analysis assessed its efficacy and tolerability in sleep outcomes compared to placebo.
Anastasios Stefanou, Ioannis Anastasiou, Panagiota Fallon, Eleni Glarou, Nikolaos Christodoulou, Andreas S. Lappas, Vasilios‐Panteleimon Bozikas, Myrto T. Samara   +7 more
wiley   +1 more source

Structural stability of solutions to the Riemann problem for a non-strictly hyperbolic system with flux approximation

Electronic Journal of Differential Equations, 2016
We study the Riemann problem for a non-strictly hyperbolic system of conservation laws under the linear approximations of flux functions with three parameters.
Meina Sun
doaj