Results 61 to 70 of about 362 (139)

Modulated amplitude waves with nontrivial phase in quasi-1D inhomogeneous Bose-Einstein condensates

open access: yes, 2016
A modulated amplitude wave (MAW) is a coherent structure with double periodicity, both in the spatial and temporal variables. The aim of the talk is to present some recent results on the existence of MAWs with nontrivial phase in a quasi-1D inhomogeneous
Torres, Pedro J.
core  

Proceedings of the international conference on computational mathematics and inverse problems honoring Peter Monk

open access: yes, 2017
International audienceThis special issue is dedicated to Professor Peter Monk in honor of his contribution and leadership in the areas of direct and inverse scattering theory and the numerical analysis of partial differential equations and integral ...
Haddar, Houssem   +7 more
core   +1 more source

Μελέτη προβλημάτων συνοριακών τιμών με εφαρμογές στην ιατρική τεχνολογία

open access: yes, 2008
Boundary value problems (BVPs) modeling biomedical systems involve linearly or nonlinearly coupled systems of PDEs in quite non-trivial geometries. These BVPs can be broadly classified into exterior: modeling for instance applications of ultrasound ...
Kourounis, Drosos   +1 more
core   +1 more source

Fractional Laplacians and extension problems: the higher rank case (Joint with Maria del Mar Gonzalez):

open access: yes, 2017
The aim of this talk is to define conformal operators that arise from an extension problem of co-dimension two. To this end we interpret and extend results of representation theory from a purely analytic point of view.
Saez, Mariel
core  

Method of the Riemann-Hilbert Problem for the Solution of the Helmholtz Equation in a Semi-infinite Strip

open access: yes, 2016
In this dissertation, a new method is developed to study BVPs of the modified Helmholtz and Helmholtz equations in a semi-infinite strip subject to the Poincare type, impedance and higher order boundary conditions.
Ghulam, Ashar
core   +1 more source

Dispersive shock wave interactions and two-dimensional ocean-wave soliton interactions

open access: yes, 2013
Many physical phenomena are understood and modeled with nonlinear partial differential equations (PDEs). Unfortunately, nonlinear PDEs rarely have analytic solutions.
Baldwin, Douglas Eugene
core   +1 more source

Scattering by stochastic boundaries: hybrid low- and high-order quantification algorithms

open access: yes, 2016
We present an efficient framework for simulating the average wave scattering properties of two dimensional randomly shaped particles with statistical properties similar to model aerosols particles that are important in atmospheric science applications ...
Hawkins, Stuart Collin   +1 more
core  

Beyond mean-field investigations of Bose-Einstein condensates: principles and applications in ultracold atomic gases

open access: yes, 2016
Bose-Einstein condensation, theoretically known to appear at ultralow temperatures since the 1920s, was achieved in the laboratory only 20 years ago, in dilute bosonic gases at temperatures close to absolute zero.
Tsatsos, Marios
core  

Линейные дифференциальные операторы, обратимые в интегро-дифференциальном смысле

open access: yes, 2019
The paper studies linear differential operators in derivatives with respect to one variable. Such operators include, in particular, operators defined on infinite prolongations of evolutionary systems of differential equations with one spatial variable ...
V. N. Chetverikov   +1 more
core   +1 more source

Global Existence Without Decay [PDF]

open access: yes, 2013
We treat some problems related to the small data global existence theory of some dispersive PDEs. That is, we try to abstractly construct solutions which exist globally in time and have “good” properties, under a smallness condition on the initial data ...
Schottdorf, Tobias
core  

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