Results 21 to 26 of about 2,222 (26)

Exponential decay properties of a mathematical model for a certain fluid-structure interaction

open access: yes, 2014
In this work, we derive a result of exponential stability for a coupled system of partial differential equations (PDEs) which governs a certain fluid-structure interaction.
Avalos, George, Bucci, Francesca
core   +1 more source

Some general new Einstein Walker manifolds

open access: yes, 2012
In this paper, Lie symmetry group method is applied to find the lie point symmetries group of a PDE system that is determined general form of four-dimensional Einstein Walker manifold.
Jafari, Mehdi, Nadjafikhah, Mehdi
core   +2 more sources

Five types of blow-up in a semilinear fourth-order reaction-diffusion equation: an analytic-numerical approach

open access: yes, 2009
Five types of blow-up patterns that can occur for the 4th-order semilinear parabolic equation of reaction-diffusion type $$ u_t= -\Delta^2 u + |u|^{p-1} u \quad {in} \quad \ren \times (0,T), p>1, \quad \lim_{t \to T^-}\sup_{x \in \ren} |u(x,t)|= +\iy, $
Bakirova M I   +52 more
core   +2 more sources

Exact determination of the volume of an inclusion in a body having constant shear modulus

open access: yes, 2014
We derive an exact formula for the volume fraction of an inclusion in a body when the inclusion and the body are linearly elastic materials with the same shear modulus.
Milton, Graeme W., Thaler, Andrew E.
core   +1 more source

Infinitesimal symmetry transformations of matrix-valued differential equations: An algebraic approach

open access: yes, 2018
The study of symmetries of partial differential equations (PDEs) has been traditionally treated as a geometrical problem. Although geometrical methods have been proven effective with regard to finding infinitesimal symmetry transformations, they present ...
Papachristou, C. J.
core  

One-dimensional versions of three-dimensional system: Ground states for the NLS on the spatial grid

open access: yes, 2018
We investigate the existence of ground states for the focusing Nonlinear Schr\"odinger Equation on the infinite three-dimensional cubic grid. We extend the result found for the analogous two-dimensional grid by proving an appropriate Sobolev inequality ...
Adami, Riccardo, Dovetta, Simone
core  

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