Inverse scattering theory for Dirac operators
Hiroshi Isozaki (1997)
Annales de l'I.H.P. Physique théorique
Peng Gao, Heping Dong, Fuming Ma (2018)
Applications of Mathematics
We consider the inverse scattering of time-harmonic plane waves to reconstruct the shape of a sound-soft crack from a knowledge of the given incident field and the phaseless data, and we check the invariance of far field data with respect to translation of the crack. We present a numerical method that is based on a system of nonlinear and ill-posed integral equations, and our scheme is easy and simple to implement. The numerical implementation is described and numerical examples are presented to...
Baratchart, L., Leblond, J., Marmorat, J.-P. (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
G. Eskin (1988/1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
Daniel Gourdin (1982)
Journées équations aux dérivées partielles
Roger Gay (1989)
Journées équations aux dérivées partielles
Nasim, C. (1982)
International Journal of Mathematics and Mathematical Sciences
Tahar Zamène Boulmezaoud (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
In this paper, we propose a new numerical method for solving elliptic equations in unbounded regions of . The method is based on the mapping of a part of the domain into a bounded region. An appropriate family of weighted spaces is used for describing the growth or the decay of functions at large distances. After exposing the main ideas of the method, we analyse carefully its convergence. Some 3D computational results are displayed to demonstrate its efficiency and its high performance.
Tahar Zamène Boulmezaoud (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
In this paper, we propose a new numerical method for solving elliptic equations in unbounded regions of . The method is based on the mapping of a part of the domain into a bounded region. An appropriate family of weighted spaces is used for describing the growth or the decay of functions at large distances. After exposing the main ideas of the method, we analyse carefully its convergence. Some 3D computational results are displayed to demonstrate its efficiency and its high performance.
Anna Grimaldi-Piro, Francesco Ragnedda, Umberto Neri (1986)
Rendiconti del Seminario Matematico della Università di Padova
Yang-Chun Chang, P. Tomas (1984)
Studia Mathematica
C. Sbordone, Luigi Greco, T. Iwaniec (1997)
Manuscripta mathematica
K. Böttger, H. Hatzikirou, A. Chauviere, A. Deutsch (2012)
Mathematical Modelling of Natural Phenomena
Gliomas are highly invasive brain tumors that exhibit high and spatially heterogeneous cell proliferation and motility rates. The interplay of proliferation and migration dynamics plays an important role in the invasion of these malignant tumors. We analyze the regulation of proliferation and migration processes with a lattice-gas cellular automaton (LGCA). We study and characterize the influence of the migration/proliferation dichotomy (also known...
Mokeeva, N.V. (2005)
Zapiski Nauchnykh Seminarov POMI
Alexander V. Rezounenko (2004)
Annales de l’institut Fourier
Inertial manifold with delay (IMD) for dissipative systems of second order in time is constructed. This result is applied to the study of different asymptotic properties of solutions. Using IMD, we construct approximate inertial manifolds containing all the stationary solutions and give a new characterization of the K-invariant manifold.
Frédéric Rousset (2012/2013)
Séminaire Laurent Schwartz — EDP et applications
The aim of this talk is to present recent results obtained with N. Masmoudi on the free surface Navier-Stokes equations with small viscosity.
Olivier Glass, Piotr Bogusław Mucha (2008)
Applicationes Mathematicae
We study the convergence in the vanishing viscosity limit of the stationary incompressible Navier-Stokes equation towards the stationary Euler equation, in the presence of an arbitrary force term. This requires that the fluid is allowed to pass through some open part of the boundary.
A. G. Ramm (2007)
Annales Polonici Mathematici
It is proved that one can choose a control function on an arbitrarilly small open subset of the boundary of an obstacle so that the total radiation from this obstacle for a fixed direction of the incident plane wave and for a fixed wave number will be as small as one wishes. The obstacle is called "invisible" in this case.
Kaptsov, O.V. (2002)
Sibirskij Matematicheskij Zhurnal
Bijan Mohammadi, Jukka Tuomela (2011)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
We study a microfluidic flow model where the movement of several charged species is coupled with electric field and the motion of ambient fluid. The main numerical difficulty in this model is the net charge neutrality assumption which makes the system essentially overdetermined. Hence we propose to use the involutive and the associated augmented form of the system in numerical computations. Numerical experiments on electrophoresis and stacking show that the completed system significantly improves...