Results 1 to 10 of about 1,137 (102)

On the instability of a nonlocal conservation law [PDF]

, 2011
We are interested in a nonlocal conservation law which describes the morphodynamics of sand dunes sheared by a fluid flow, recently proposed by Andrew C. Fowler. We prove that constant solutions of Fowler's equation are non-linearly unstable.
Bouharguane, Afaf
core   +1 more source

Cloaking using complementary media in the quasistatic regime [PDF]

, 2015
Cloaking using complementary media was suggested by Lai et al. in [8]. The study of this problem faces two difficulties. Firstly, this problem is unstable since the equations describing the phenomenon have sign changing coefficients, hence the ...
Nguyen, Hoai-Minh
core   +3 more sources

On the harmonic Boltzmannian waves in laser-plasma interaction [PDF]

, 2006
We study the permanent regimes of the reduced Vlasov-Maxwell system for laser-plasma interaction. A non-relativistic and two different relativistic models are investigated.
Bostan M, Bostan M, Coddington E A, Colin M, Dolbeault J, Guo Y, Kato T, Lin Z, Mihai Bostan, Simon Labrunie   +9 more
core   +5 more sources

Global stability for the prion equation with general incidence [PDF]

, 2015
We consider the so-called prion equation with the general incidence term introduced in [Greer et al., 2007], and we investigate the stability of the steady states. The method is based on the reduction technique introduced in [Gabriel, 2012]. The argument
Gabriel, Pierre
core   +4 more sources

Size-structured populations: immigration, (bi)stability and the net growth rate [PDF]

, 2009
We consider a class of physiologically structured population models, a first order nonlinear partial differential equation equipped with a nonlocal boundary condition, with a constant external inflow of individuals. We prove that the linearised system is
A.S. Ackleh, C. Rorres, C.B. Clemons, G.F. Webb, H.L. Smith, J. Carr, J. Prüß, J. Prüß, J.A.J. Metz, J.M. Cushing, J.Z. Farkas, J.Z. Farkas, J.Z. Farkas, J.Z. Farkas, J.Z. Farkas, József Z. Farkas, K.-J. Engel, M. Iannelli, M.E. Gurtin, O. Diekmann, O. Diekmann, R.A. Adams, W. Arendt, À. Calsina   +23 more
core   +2 more sources

Physiologically structured populations with diffusion and dynamic boundary conditions [PDF]

, 2011
We consider a linear size-structured population model with diffusion in the size-space. Individuals are recruited into the population at arbitrary sizes. The model is equipped with generalized Wentzell-Robin (or dynamic) boundary conditions.
Farkas, J. Z., Hinow, P.
core   +2 more sources

A note on Serrin's overdetermined problem [PDF]

, 2014
We consider the solution of the torsion problem $-\Delta u=1$ in $\Omega$ and $u=0$ on $\partial \Omega$. Serrin's celebrated symmetry theorem states that, if the normal derivative $u_\nu$ is constant on $\partial \Omega$, then $\Omega$ must be a ball ...
Ciraolo, Giulio, Magnanini, Rolando
core   +2 more sources

An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations

, 2014
We give an example of a well posed, finite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce finite time singularities. In spite of its simplicity, this seems to
Chae, Dongho, Constantin, Peter, Wu, Jiahong   +2 more
core   +1 more source

Critical Exponents of Semilinear Equations via the Feynman-Kac Formula [PDF]

, 2007
2000 Mathematics Subject Classification: 60H30, 35K55, 35K57 ...
Alfredo Lopez-Mimbela, Jose, T. Kolkovska, Ekaterina   +1 more
core  

Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]

, 2003
2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type.
Hakkaev, Sevdzhan
core