Results 41 to 50 of about 395 (79)

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
core  

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
core  

On a model for a sliding droplet:Well-posedness and stability of translating circular solutions

, 2017
In this paper the model for a highly viscous droplet sliding down an inclined plane is analyzed. It is shown that, provided the slope is not too steep, the corresponding moving boundary problem possesses classical solutions.
Guidotti, Patrick, Walker, Christoph
core   +1 more source

Selfsimilar solutions in a sector for a quasilinear parabolic equation

, 2012
We study a two-point free boundary problem in a sector for a quasilinear parabolic equation. The boundary conditions are assumed to be spatially and temporally "self-similar" in a special way.
A. Friedman, B. Lou, D. A. V. Stow, D. Hilhorst, G. Dong, G. M. Lieberman, H. Matano, H.-H. Chern, J. B. Keller, J.-S. Guo, J.-S. Guo, K. H. W. J. Ten Tusscher, M.-H. Giga, O. A. Ladyzhenskia, P. Brunovský, X. Chen, Y. Kohsaka, Y.-L. Chang   +17 more
core   +1 more source

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., Berestycki H., C. B. Muratov, Gallay T., Gallay T., Kanel' Y. I., Kanel' Y. I., Kolmogorov A. N., Lions P.-L., M. Novaga, Uchiyama K.   +10 more
core   +1 more source

Super-linear spreading in local and non-local cane toads equations [PDF]

, 2015
In this paper, we show super-linear propagation in a nonlocal reaction-diffusion-mutation equation modeling the invasion of cane toads in Australia that has attracted attention recently from the mathematical point of view.
Bouin, Emeric, Henderson, Christopher, Ryzhik, Lenya   +2 more
core   +1 more source

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.
core   +1 more source

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

Diverse soliton wave profile assessment to the fractional order nonlinear Landau-Ginzburg-Higgs and coupled Boussinesq-Burger equations

Results in Physics
The 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, Mohammad Asif Arefin, Khaled A. Gepreel, M. Hafiz Uddin, M. Ali Akbar   +4 more
doaj   +1 more source

Addendum to "Travelling waves for a non-local Korteweg-de Vries-Burgers equation" [J. Differential Equations 257 (2014), no. 3, 720--758]

, 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.
core