Results 1 to 10 of about 492 (27)
Instability and stability properties of traveling waves for the double dispersion equation [PDF]
, 2002 In this article we are concerned with the instability and stability properties of traveling wave solutions of the double dispersion equation $~u_{tt} -u_{xx}+a u_{xxxx}-bu_{xxtt} = - (|u|^{p-1}u)_{xx}~$ for $~p>1$, $~a\geq b>0$.
H.A. Erbay +21 more
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Global dynamics above the ground state energy for the one-dimensional NLKG equation [PDF]
, 2010 In this paper we obtain a global characterization of the dynamics of even solutions to the one-dimensional nonlinear Klein-Gordon (NLKG) equation on the line with focusing nonlinearity |u|^{p-1}u, p>5, provided their energy exceeds that of the ground ...
Krieger, Joachim +2 more
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, 2012 In this paper we consider a viscoelastic wave equation with a time-varying delay term, the coefficient of which is not necessarily positive. By introducing suitable energy and Lyapunov functionals, under suitable assumptions, we establish a general ...
Abdallah C. +7 more
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Kirchhoff equations from quasi-analytic to spectral-gap data
, 2010 In a celebrated paper (Tokyo J. Math. 1984) K. Nishihara proved global existence for Kirchhoff equations in a special class of initial data which lies in between analytic functions and Gevrey spaces.
Ghisi, Marina, Gobbino, Massimo
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On cavitation in Elastodynamics [PDF]
, 2012 Motivated by the works of Ball (1982) and Pericak-Spector and Spector (1988), we investigate singular solutions of the compressible nonlinear elastodynamics equations.
Giesselmann, Jan +1 more
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, 2011 The initial boundary value problem for a system of viscoelastic wave equations of Kirchhoff type with strong damping is considered. We prove that, under suitable assumptions on relaxation functions and certain initial data, the decay rate of the ...
Agre K +14 more
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Harmonic coordinates in the string and membrane equations
, 2010 In this note, we first show that the solutions to Cauchy problems for two versions of relativistic string and membrane equations are diffeomorphic. Then we investigate the coordinates transformation presented in Ref. [9] (see (2.20) in Ref.
Chun-Lei He +2 more
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A Remark on Unconditional Uniqueness in the Chern-Simons-Higgs Model [PDF]
, 2013 The solution of the Chern-Simons-Higgs model in Lorenz gauge with data for the potential in $H^{s-1/2}$ and for the Higgs field in $H^s \times H^{s-1}$ is shown to be unique in the natural space $C([0,T];H^{s-1/2} \times H^s \times H^{s-1})$ for $s \ge 1$
Daniel +2 more
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Periodic solutions of forced Kirchhoff equations
, 2007 We consider Kirchhoff equations for vibrating bodies in any dimension in presence of a time-periodic external forcing with period 2pi/omega and amplitude epsilon, both for Dirichlet and for space-periodic boundary conditions.
Baldi, Pietro
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, 2003 The analysis of nonlinear wave equations has experienced a dramatic growth in the last ten years or so. The key factor in this has been the transition from linear analysis, first to the study of bilinear and multilinear wave interactions, useful in the ...
Tataru, Daniel
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