Results 31 to 40 of about 143,393 (276)
The Initial Value Problem for a Degenerate Wave Equation [PDF]
Proceedings of the American Mathematical Society, 1988 The Cauchy problem for a degenerate wave equation, for which the spatial part is essentially a hypoelliptic sum of squares, is solved via a suitable modification of the standard Hilbert space approach for the usual problem.
Kannai, Y., Kiro, S.
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Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation [PDF]
, 2012 We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromorphic solution M is necessarily elliptic or degenerate ...
A.E. Eremenko +26 more
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Travelling wave phenomena in non-linear diffusion degenerate Nagumo equations [PDF]
Journal of Mathematical Biology, 1997 The authors study the existence of weak travelling wave solutions \(u(x,t)= \phi(x- at)\) for the equation \[ u_t= [D(u)u_x]_x+ g(u),\quad (x,t)\in\mathbb{R}\times \mathbb{R}_+,\tag{1} \] where, for a given \(\alpha\in(0, 1)\), the function \(D\) and \(g\), defined on the interval \([0,1]\), satisfy the conditions: 1) \(g(0)= g(\alpha)= g(1)= 0\), \(g ...
Sánchez-Garduño, F, Maini, P
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Quadrupole moment of a magnetically confined mountain on an accreting neutron star: effect of the equation of state [PDF]
, 2011 Magnetically confined mountains on accreting neutron stars are promising sources of continuous-wave gravitational radiation and are currently the targets of directed searches with long-baseline detectors like the Laser Interferometer Gravitational Wave ...
Melatos, A. +2 more
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Abstract and Applied Analysis, 2013 This paper is concerned with traveling wave fronts for a degenerate diffusion equation with time delay. We first establish the necessary and sufficient conditions to the existence of monotone increasing and decreasing traveling wave fronts, respectively.
Weifang Yan, Rui Liu
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Wave Patterns in One-Dimensional Nonlinear Degenerate Diffusion Equations [PDF]
, 1993 Several different types of wave patterns occur in physiology, chemistry and biology. In many cases such phenomena are modelled by reactive-diffusive parabolic systems (see, for example, Fisher 1937; Kolmogorov et al. 1937; Winfree 1988; Murray 1989; Swinney & Krinsky 1992).
Sánchez-Garduño, F, Maini, P
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ON INITIAL BOUNDARY VALUE PROBLEMS FOR THE DEGENERATE 1D WAVE EQUATION
Journal of Optimization, Differential Equations and Their Applications, 2019 Initial boundary value problems in space-time rectangle for the following linear inhomogeneous degenerate wave equation of the second order smooth coefficient function a(x) vanishes in single points of segment.
Vladimir V. Borsch
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Traveling Wave Phenomena in Some Degenerate Reaction-Diffusion Equations
Journal of Differential Equations, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sánchez-Garduño, F, Maini, P
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Localized energy for wave equations with degenerate trapping [PDF]
Mathematical Research Letters, 2019 Localized energy estimates have become a fundamental tool when studying wave equations in the presence of asymptotically at background geometry. Trapped rays necessitate a loss when compared to the estimate on Minkowski space. A loss of regularity is a common way to incorporate such.
Booth, Robert +3 more
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Feedback theory extended for proving generation of contraction semigroups [PDF]
, 2015 Recently, the following novel method for proving the existence of solutions for certain linear time-invariant PDEs was introduced: The operator associated to a given PDE is represented by a (larger) operator with an internal loop. If the larger operator (
Kurula, Mikael, Zwart, Hans
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