Results 61 to 70 of about 588 (178)
Finite Element Approximation for a Reformulation of a 3D Fluid–2D Plate Interaction System
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT We study a finite element approximation of a coupled fluid‐structure interaction consisting of a three‐dimensional incompressible viscous fluid governed by the unsteady Stokes equations and a two‐dimensional elastic plate. To avoid the use of H2−$$ {H}^2- $$conforming or nonconforming ℙ2$$ {\mathbb{P}}_2 $$‐Morley plate elements, the fourth ...
Lander Besabe, Hyesuk Lee
wiley +1 more source
A Convergent Fourier Spectral Galerkin Method for the Fractional Camassa–Holm Equation
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT We analyze a Fourier spectral Galerkin method for the fractional Camassa–Holm (fCH) equation involving a fractional Laplacian of exponent α∈[1,2]$$ \alpha \in \left[1,2\right] $$ with periodic boundary conditions. The semi‐discrete scheme preserves both mass and energy invariants of the fCH equation.
Mukul Dwivedi, Andreas Rupp
wiley +1 more source
Sharp Gronwall-Bellman type integral inequalities with delay
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Various attempts have been made to give an upper bound for the solutions of the delayed version of the Gronwall-Bellman integral inequality, but the obtained estimations are not sharp.
István Győri, László Horváth
doaj +1 more source
A special integral and a Gronwall inequality [PDF]
Transactions of the American Mathematical Society, 1976 This paper considers a special integral ( I ) ∫
openaire +2 more sources
Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations
Mathematische Nachrichten, Volume 299, Issue 6, Page 1480-1509, June 2026.ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
wiley +1 more source
Alexandria Engineering JournalThis study investigates weakly singular nonlinear functional Volterra integral equations (WSNFVIEs) of Urysohn type involving Riemann–Liouville operator.
Imtiyaz Ahmad Bhat +4 more
doaj +1 more source
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
On the Systems of Discrete Inequalities of Gronwall Type
Journal of Mathematical Analysis and Applications, 1994 The basic result of the paper embodied in Theorem 1 yields a discrete version of the next very special system of Volterra integral inequalities \[ u_ i(x) \leq f_ i(x) + g_ i(x)W \left[ \int^ x_{x_ 0} B \bigl( t,u_ 1(t), \dots, u_ s(t) \bigr) dt \right],\;i = 1,2, \dots, s, \tag{I} \] where all the functions involved are real-valued nonnegative ...
openaire +2 more sources
A note on Bellman-Gronwall's inequality
Journal of Mathematical Analysis and Applications, 1981 AbstractIn the present note a multidimensional analogue of Bellman-Gronwall's inequality is proved.
Zahariev, A.I, Bainov, D.D
openaire +1 more source
On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof.
Fan Cheng +2 more
wiley +1 more source