Results 41 to 50 of about 1,361 (131)
Lower bounds for the blow-up time in a higher-order nonlinear Kirchhoff-type equation
Journal of Mathematical Inequalities. This paper is concerned with a nonlinear higher-order Kirchhoff-type equation with dissipation in a bounded domain. By establishing a fi rst order differential inequality technique, a lower bound for the blow-up time is obtained when the blow-up of ...
Yao un Ye
semanticscholar +1 more source
A pseudodifferential equation with damping for one-way wave propagation in inhomogeneous acoustic media [PDF]
, 2003 A one-way wave equation is an evolution equation in one of the space directions that describes (approximately) a wave field. The exact wave field is approximated in a high frequency, microlocal sense.
Stolk, Christiaan C.
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Method of replacing the variables for generalized symmetry of the D′Alembert equation
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 3, Page 149-155, 2002., 2002 We show that by the generalized understanding of symmetry, the D′Alembert equation for one component field is invariant with respect to arbitrary reversible coordinate transformations.
Gennadii A. Kotel′nikov
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Nodal Discontinuous Galerkin Method for Time-Domain Lorentz Model Equations in Meta-Materials
Numerical Mathematics: Theory, Methods and Applications, 2018 In this paper, Nodal discontinuous Galerkin method is presented to approximate Time-domain Lorentz model equations in meta-materials. The upwind flux is chosen in spatial discrete scheme. Low-storage five-stage fourth-order explicit Runge-Kutta method is
Shanghui Jia
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Determining both sound speed and internal source in thermo- and photo-acoustic tomography
, 2015 This paper concerns thermoacoustic tomography and photoacoustic tomography, two couple-physics imaging modalities that attempt to combine the high resolution of ultrasound and the high contrast capabilities of electromagnetic waves.
Liu, Hongyu, Uhlmann, Gunther
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A necessary and sufficient condition on scattering for the regularly hyperbolic systems [PDF]
, 2010 The present paper is devoted to finding a necessary and sufficient condition on the occurence of scattering for the regularly hyperbolic systems with time-dependent coefficients whose time-derivatives are integrable over the real line. More precisely, it
Arosio +14 more
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An inverse problem for a nonlinear Schrödinger equation
Abstract and Applied Analysis, Volume 7, Issue 7, Page 385-399, 2002., 2002 We study the dependence on the control q of the interval of definition of the solution u of the Cauchy problem ιu′ + Δ u = −λ|u| 2u − ιqu in ℝ 2 × (0, T), u(x, 0) = ω in ℝ 2, and we prove a version of Fibich′s conjecture. Feedback laws for an inverse problem of the above equation with experimental data, measured on a portion of the boundary of an open,
Bui An Ton
wiley +1 more source
LONG TIME BEHAVIOR OF THE SOLUTIONS OF NLW ON THE $d$-DIMENSIONAL TORUS
Forum of Mathematics, Sigma, 2020 We consider the nonlinear wave equation (NLW) on the $d$-dimensional torus $\mathbb{T}^{d}$ with a smooth nonlinearity of order at least 2 at the origin. We prove that, for almost any mass, small and smooth solutions of high Sobolev indices are stable up
JOACKIM BERNIER +2 more
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Observation of vibrating systems at different time instants [PDF]
, 2013 In this paper, we obtain new observability inequalities for the vibrating string. This work was motivated by a recent paper by A. Szij\'art\'o and J. Heged\H{u}s in which the authors ask the question of determining the initial data by only knowing the ...
Vest, Ambroise
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Study of exponential stability of coupled wave systems via distributed stabilizer
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 8, Page 479-491, 2001., 2001 Stabilization of the system of wave equations coupled in parallel with coupling distributed springs and viscous dampers are under investigation due to different boundary conditions and wave propagation speeds. Numerical computations are attempted to confirm the theoretical results.
Mahmoud Najafi
wiley +1 more source