Global well-posedness for nonlinear nonlocal Cauchy problems arising in elasticity
Electronic Journal of Differential Equations, 2017 In this article, we prove global well-posedness for a family of one dimensional nonlinear nonlocal Cauchy problems arising in elasticity. We consider the equation $$ u_{tt}-\delta Lu_{xx}=\big(\beta \ast [(1-\delta)u+u^{2n+1}]\big)_{xx}\,, $$ where
Hantaek Bae, Suleyman Ulusoy
doaj
DUALITY OPERATOR AND ABSTRACT NONLINEAR EQUATION OF KIRCHHOFF -CARRIER
Pesquimat, 2014 Raúl Moisés Izaguirre Maguíña
doaj +1 more source
Exponential stabilization and finite time blow-up in a fractional thermal piezoelectric beam with delay. [PDF]
Sci RepUllah Z, Hao J, Thabet STM, Moulahi T.
europepmc +1 more source
An innovative meshless approach for solving 2D Allen-Cahn equations using the RBF-compact finite difference method. [PDF]
Sci RepFardi M, Azarnavid B, Emami H.
europepmc +1 more source
Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]
Rev R Acad Cienc Exactas Fis Nat A MatZimmermann P.
europepmc +1 more source
Nyquist-Hilbert-nonlinear Schrödinger solitons: A continuous family of fractional nonlinear waves. [PDF]
Sci AdvHoang VT +4 more
europepmc +1 more source
Nonlinear Stability in a Free Boundary Model of Active Locomotion. [PDF]
Arch Ration Mech AnalBerlyand L, Safsten CA, Truskinovsky L.
europepmc +1 more source
Bifurcation analysis and analytical traveling wave solutions of a sasa-satsuma equation involving beta, M-truncated and conformable derivatives using the EGREM method. [PDF]
Sci RepMunir F +5 more
europepmc +1 more source
Square integrable solutions and stability of a second-order stochastic integro-differential equation. [PDF]
Sci RepOudjedi-Damerdji LF +4 more
europepmc +1 more source
Reinforcement Operator Learning (ROL): A hybrid DeepONet-guided reinforcement learning framework for stabilizing the Kuramoto-Sivashinsky equation. [PDF]
PLoS OneAhmed N +7 more
europepmc +1 more source