Results 31 to 40 of about 76 (72)
On the Blowup Problem for Nonlinear Kirchhoff Equations with Nonlinear Dissipative Terms [PDF]
, 2001 We study the blowup problem for the integro-differential equation of hyperbolic type with a nonlinear dissipative term. When the initial energy is smaller than the depth of an associated potential well and the initial displacement is in the exterior of ...
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General Decay Rates of the Solution Energy in a Viscoelastic Wave Equation With Boundary Feedback and a Nonlinear Source [PDF]
In a bounded domain, we consider a viscoelastic equation with a nonlinear feedback localized on a part of the boundary and certain initial data. We establish an explicit and general decay rate result, using some properties of the convex functions.
BENABDERRAHMANE, Benyattou +2 more
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Advances in Nonlinear Analysis, 2017 We consider a second-order equation with a linear “elastic” part and a nonlinear damping term depending on a power of the norm of the velocity. We investigate the asymptotic behavior of solutions, after rescaling them suitably in order to take into ...
Ghisi Marina +2 more
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On radial sine-Gordon breathers
, 2000 The problem of the existence of radial sine-Gordon breathers (i.e. radial solutions which are periodic in time and decay at infinity with respect to the spatial variable) in the (d + 1)-dimensional case (where d > 1) is considered.
Alfimov, G.L., Vazquez, L., Evans, Andy
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Computational and Mathematical BiophysicsThis study presents a mathematical model of glioma growth dynamics with drug resistance, capturing interactions among five cell populations – glial cells, sensitive and resistant glioma cells, endothelial cells, and neurons – alongside chemotherapy and ...
Hanum Latifah +2 more
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Existence and asymptotic stability for a semilinear damped wave equation with dynamic boundary conditions involving variable nonlinearity [PDF]
We study the solvability of a class of quasilinear elliptic equations with (p(x),k(x))(p(x),k(x))-growth structure and with nonlinear boundary conditions in the context of Kelvin-Voigt damping with arbitrary data.
RAHMOUNE, Abita +2 more
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A coupled system of mKdV-KdV equations with damping
Applied Mathematics in Science and EngineeringIn this paper, we study the influence of a damping term on the dynamics of a coupled Korteweg–de Vries type system, namely the mKdV–KdV system, posed on the real line.
Aissa Boukarou +3 more
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Demonstratio MathematicaIn previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa +2 more
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Well posedness and control of semilinear wave equations with iterated logarithms [PDF]
, 1999 . Motivated by a classical work of Erd}os we give rather precise necessary and sucient growth conditions on the nonlinearity in a semilinear wave equation in order to have global existence for all initial data.
Cannarsa, Piermarco +5 more
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On a Preliminary Group Classification of a Quasilinear Hyperbolic Equation
, 2004 unavailable at this time... Mathematics Subject Classification (2000): 35L70, 70G65. Key words: Quasilinear hyperbolic equation, symmetries, partial differential equations.
Edelstein, R. M., Govinder, K.S.
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