Results 51 to 60 of about 449 (113)
Absorbing boundary conditions for the Westervelt equation [PDF]
, 2014 The focus of this work is on the construction of a family of nonlinear absorbing boundary conditions for the Westervelt equation in one and two space dimensions.
A. Majda +31 more
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Propagation of Delayed Lattice Differential Equations without Local Quasimonotonicity [PDF]
, 2014 This paper is concerned with the traveling wave solutions and asymptotic spreading of delayed lattice differential equations without quasimonotonicity.
Pan, Shuxia
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Traveling Wave Solutions of a Reaction-Diffusion Equation with State-Dependent Delay [PDF]
, 2014 This paper is concerned with the traveling wave solutions of a reaction-diffusion equation with state-dependent delay. When the birth function is monotone, the existence and nonexistence of monotone traveling wave solutions are established.
Lin, Guo, Wang, Haiyan
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Global exponential convergence to variational traveling waves in cylinders
, 2011 We prove, under generic assumptions, that the special variational traveling wave that minimizes the exponentially weighted Ginzburg-Landau functional associated with scalar reaction-diffusion equations in infinite cylinders is the long-time attractor for
Barenblatt G. I. +10 more
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Sharp relaxation rates for plane waves of reaction-diffusion systems
, 2019 It is well-known and classical result that spectrally stable traveling waves of a general reaction-diffusion system in one spatial dimension are asymptotically stable with exponential relaxation rates. In a series of works in the 1990's, the authors have
Hadadifard, Fazel, Stefanov, Atanas G.
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SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS
Forum of Mathematics, Sigma, 2018 We consider a broad class of systems of nonlinear integro-differential equations posed on the real line that arise as Euler–Lagrange equations to energies involving nonlinear nonlocal interactions.
BENTE BAKKER, ARND SCHEEL
doaj +1 more source
Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations
, 2012 We consider a branching-selection system in $\mathbb {R}$ with $N$ particles which give birth independently at rate 1 and where after each birth the leftmost particle is erased, keeping the number of particles constant. We show that, as $N\to\infty$, the
Durrett, Rick, Remenik, Daniel
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Results in PhysicsThe space–time fractional Landau-Ginzburg-Higgs equation and coupled Boussinesq-Burger equation describe the behavior of nonlinear waves in the tropical and mid-latitude troposphere, exhibiting weak scattering, extended connections, arising from the ...
Anamika Podder +4 more
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, 2016 We add a theorem to [J. Differential Equations 257 (2014), no. 3, 720--758] by F. Achleitner, C.M. Cuesta and S. Hittmeir. In that paper we studied travelling wave solutions of a Korteweg-de Vries-Burgers type equation with a non-local diffusion term. In
Achleitner, Franz, Cuesta, Carlota M.
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Cheng Equation: A Revisit Through Symmetry Analysis
, 2019 The symmetry analysis of the Cheng Equation is performed. The Cheng Equation is reduced to a first-order equation of either Abel's Equations, the analytic solution of which is given in terms of special functions.
Halder, Amlan K +3 more
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