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In this note we study the global existence of small data solutions to the Cauchy problem for the semi-linear wave equation with a not effective scale-invariant damping term, namely \[ v_{tt}-\triangle v + \frac2{1+t}\,v_t = |v|^p, \qquad v(0,x)=v_0(x ...
D'Abbicco, Marcello +2 more
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Direct van der Waals simulation (DVS) of phase-transforming fluids. [PDF]
Hu T, Wang H, Gomez H.
europepmc +1 more source
Transformations of polar Grassmannians preserving certain intersecting relations [PDF]
Let $\Pi$ be a polar space of rank $n\ge 3$. Denote by ${\mathcal G}_{k}(\Pi)$ the polar Grassmannian formed by singular subspaces of $\Pi$ whose projective dimension is equal to $k$. Suppose that $k$ is an integer not greater than $n-2$ and consider the
Liu, Wen, Pankov, Mark, Wang, Kaishun
core
Age-Structured SIR Model for the Spread of Infectious Diseases Through Indirect Contacts. [PDF]
Kumar M, Abbas S.
europepmc +1 more source
The analysis of nonlinear wave equations has experienced a dramatic growth in the last ten years or so. The key factor in this has been the transition from linear analysis, first to the study of bilinear and multilinear wave interactions, useful in the ...
Tataru, Daniel
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Nonlinear viscoelasticity of strain rate type: an overview. [PDF]
Şengül Y.
europepmc +1 more source
How well do rudimentary plasticity rules predict adult visual object learning? [PDF]
Lee MJ, DiCarlo JJ.
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Categorification of some level two representations of sl(n)
We categorify representations of quantum sl(n) whose highest weight is twice a fundamental weight.Comment: 22 pages, 13 eps ...
Huerfano, Ruth Stella, Khovanov, Mikhail
core
Stability analysis of a multiscale model of cell cycle dynamics coupled with quiescent and proliferating cell populations. [PDF]
Batool I, Bajcinca N.
europepmc +1 more source
On the Stability of Periodic Multi-Solitons of the KdV Equation. [PDF]
Kappeler T, Montalto R.
europepmc +1 more source

