Results 41 to 50 of about 4,496,925 (290)
Geofluids, 2021 Propagation of pore pressure and stress in water-saturated elastic porous media is theoretically investigated when considering the Darcy-Brinkman law. The wave mode, phase velocity, phase lag, damping factor, and characteristic frequency are found from ...
Duoxing Yang, Lianzhong Zhang
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Buildings, 2022 In order to study the relationship between an aerostatic three-component coefficient (ATCC) and bridge flutter and to quickly evaluate the flutter performance of bridges, we proposed a method based on the empirical formula of the ATCC.
Hui Gao +4 more
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Existence for a nonlinear wave equation with damping and source terms
Differential and Integral Equations, 2003 The paper deals with the Cauchy problem to the equation \(u_{tt}(t,x)-\triangle u(t,x)+Q(t,x,u_t)=f(x,u)\) with compactly supported initial data. The uniqueness and regularity of a solution are proved. The authors use Orlicz spaces and ingenious estimates, to obtain the results for a broad range of powers of the nonlinearities \(Q,f\).
Serrin, James +2 more
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AxiomsThis paper deals with the oscillatory behavior of solutions of a new class of second-order nonlinear differential equations. In contrast to most of the previous results in the literature, we establish some new criteria that guarantee the oscillation of ...
Asma Al-Jaser +3 more
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Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we study a hydrodynamic system modeling the evolution of a plasma subject to a self-induced electromagnetic Lorentz force in incompressible viscous fluids. The system consists of the Navier–Stokes equations coupled with a Maxwell equation.
Dandan Ma, Fan Wu
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Determining damping terms in fractional wave equations
Inverse Problems, 2022 Abstract This paper deals with the inverse problem of recovering an arbitrary number of fractional damping terms in a wave equation. We develop several approaches on uniqueness and reconstruction, some of them relying on Tauberian theorems that provide relations between the asymptotic behaviour of solutions in time and Laplace domains ...
Barbara Kaltenbacher, William Rundell
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
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MathematicsIn this paper, we discuss the oscillatory behavior of solutions of two general classes of nonlinear second-order differential equations. New criteria are obtained using Riccati transformations and the integral averaging techniques.
Mohamed Mazen +3 more
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Rogue waves and downshifting in the presence of damping [PDF]
Natural Hazards and Earth System Sciences, 2011 Recently Gramstad and Trulsen derived a new higher order nonlinear Schrödinger (HONLS) equation which is Hamiltonian (Gramstad and Trulsen, 2011). We investigate the effects of dissipation on the development of rogue waves and downshifting by adding an ...
A. Islas, C. M. Schober
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Kirchhoff systems with nonlinear source and boundary damping terms
Communications on Pure and Applied Analysis, 2010 In this paper we treat the question of the non--existence of global solutions, or their long time behavior, of nonlinear hyperbolic Kirchhoff systems. The main $p$--Kirchhoff operator may be affected by a perturbation which behaves like $|u|^{p-2} u$ and the systems also involve an external force $f$ and a nonlinear boundary damping $Q$. When $p=2$
AUTUORI, GIUSEPPINA, PUCCI, Patrizia
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