Results 71 to 80 of about 118 (113)
Acoustic wave guides as infinitedimensional dynamical systems. arXiv:1211.7000
, 2012 . We prove the unique solvability, passivity/conservativity and some regularity results of two mathematical models for acoustic wave propagation in curved, variable diameter tubular structures of finite length.
Jarmo Malinen, Atte Aalto, Teemu Lukkari
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Well posedness and control of semilinear wave equations with iterated logarithms
, 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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An Extension of the direct Method via an Application
, 2001 The Direct Method due to Clarkson and Kruskal [9] for finding similarity reductions of partial differential equations is extended to obtain similarity reductions of nonlinear partial differential equations with arbitrary functions. The extension is
Changzheng, Qu, Mahomed, FM
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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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Integral Operators with Singular Canonical Relations
, 1997 We derive certain estimates and asymptotics for oscillatory integral operators with degenerate phase functions, concentrating our attention on the situation when one of the projections from the associated canonical relation is a Whitney fold.
Andrew Comech
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, 2020 In this paper, we consider a viscoelastic wave equation with dynamical boundary conditions. Under certain assumptions, we give the upper and lower bounds for the blow-up time according to the exponent numbers m and p of the nonlinear boundary damping ...
Liu, Wenjun, Li, Gang, Zhu, Biqing
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Pseudospectra of the Wave Operator with an Absorbing Boundary
, 1993 For systems which can be described by u t = Au, with a highly non-normal matrix or operator A, the spectrum of A may describe the behavior of the system poorly.
Lloyd N. Trefethen +3 more
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Adaptive Time Discretization for Retarded Potentials
, 2014 In this paper, we will present advanced discretization methods for solving retarded potential integral equations. We employ a C∞-partition of unity method in time and a conventional boundary element method for the spatial discretization.
S. Sauter, A. Veit
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Uniform Asymptotic Expansion Of The Square-Root Helmholtz Operator And The One-Way Wave Propagator
, 2003 The Bremmer coupling series solution ofthe wave equation, in generally inhomogeneous media, requires the introduction ofpseudodi#erential operators. Such operators appear in the diagonalization process ofthe acoustic system's matrix ofpartial di ...
A. K. Gautesen, Maarten V. De Hoop
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, 1995 We consider the transmission problem for second-order differential equations with unbounded interfaces. The spaces B and B are used to prove the limiting absorption principle for the steady-state problem and to establish the resolvent estimate at low ...
Bo Zhang
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