Results 51 to 60 of about 424 (94)

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
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An (N-1)-dimensional convex compact set gives an N-dimensional traveling front in the Allen--Cahn equation [PDF]

, 2015
This paper studies traveling fronts to the Allen–Cahn equation in RN for N ≥ 3. Let (N −2)-dimensional smooth surfaces be the boundaries of compact sets in RN−1 and assume that all principal curvatures are positive everywhere.
Chen X., Hamel F., Kanel' Y. I., Kanel' Y. I., Masaharu Taniguchi, Monneau R.   +5 more
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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., 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
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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
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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
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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

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.
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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, Leach, Pgl, Paliathanasis, A, Sinuvasan, R   +3 more
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