Tensor-based multiscale method for diffusion problems in quasi-periodic heterogeneous media [PDF]
, 2018 This paper proposes to address the issue of complexity reduction for the numerical simulation of multiscale media in a quasi-periodic setting. We consider a stationary elliptic diffusion equation defined on a domain $D$ such that $\overline{D}$ is the ...
Ayoul-Guilmard, Quentin +2 more
core +3 more sources
Explicit formula for the solution of the Szeg\"o equation on the real line and applications [PDF]
, 2011 We consider the cubic Szeg\"o equation i u_t=Pi(|u|^2u) in the Hardy space on the upper half-plane, where Pi is the Szeg\"o projector on positive frequencies.
Pocovnicu, Oana
core +1 more source
A free boundary tumor model with time dependent nutritional supply [PDF]
, 2020 A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion equation describing the distribution of vital nutrients in the tumor and a nonlinear integro-differential equation describing the ...
Caraballo Garrido, Tomás +3 more
core
Regularity for Maxwell eigenproblems in photonic crystal fibre modelling [PDF]
, 2015 International audienceThe convergence behaviour and the design of numerical methods for modelling the flow of light in photonic crystal fibres depend critically on an understanding of the regularity of solutions to time-harmonic Maxwell equations in a ...
Dauge, Monique +2 more
core +3 more sources
Whitham's Method and Dubrovin-Novikov Bracket in Single-Phase and Multiphase Cases [PDF]
, 2012 In this paper we examine in detail the procedure of averaging of the local field-theoretic Poisson brackets proposed by B.A. Dubrovin and S.P. Novikov for the method of Whitham.
Maltsev, Andrei Ya.
core +5 more sources
Almost periodic solutions of periodic linear partial functional differential equations
, 2018 We study conditions for the abstract periodic linear functional differential equation $\dot{x}=Ax+F(t)x_t+f(t)$ to have almost periodic with the same structure of frequencies as $f$.
Luong, Vu Trong, Van Minh, Nguyen
core +1 more source
ComPhy: Prokaryotic Composite Distance Phylogenies Inferred from Whole-Genome Gene Sets [PDF]
, 2009 doi:10.1186/1471-2105-10-S1-S5With the increasing availability of whole genome sequences, it is becoming more and more important to use complete genome sequences for inferring species phylogenies.
Cai, Zhipeng +4 more
core +2 more sources
Traveling waves for the cubic Szego equation on the real line
, 2010 We consider the cubic Szego equation i u_t=Pi(|u|^2u) on the real line, with solutions in the Hardy space on the upper half-plane, where Pi is the Szego projector onto the non-negative frequencies. This equation was recently introduced by P. Gerard and S.
Pocovnicu, Oana
core +1 more source
Almost periodic mild solutions of a class of partial functional differential equations [PDF]
, 1998 We study the existence of almost periodic mild solutions of a class of partial functional differential equations via semilinear almost periodic abstract functional differential equations of the form (*)
Bernd Aulbach, Nguyen Van Minh
core +3 more sources
Evolution of macrolide resistance in streptococcus pyogenes over 14 years in an area of central Italy [PDF]
, 2015 We evaluated temporal fluctuations in macrolide resistance rates, analysing genetic determinants of resistance and clonal evolution in a population of 2744 S. pyogenes isolates collected in the period 2000–2013.
DE LUCA, Andrea +6 more
core +1 more source