Results 11 to 20 of about 2,810 (199)

Mathematical analysis of nonlocal PDEs for network generation [PDF]

Mathematical Modelling of Natural Phenomena, 2019
In this paper, we study a certain class of nonlocal partial differential equations (PDEs). The equations arise from a key problem in network science, i.e., network generation from local interaction rules, which result in a change of the degree distribution as time progresses.
Tobias Böhle, Christian Kuehn
openaire   +2 more sources

Introducing the Workshop on Variational Analysis, PDEs and Mathematical Economics

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020
In this preface we describe the Workshop “Variational Analysis, PDEs and Mathematical Economics” held in Messina on September 19-20, 2019, to celebrate the 75th birthday of Antonino Maugeri. This special issue of AAPP collects some scientific results presented during the Workshop.
Donato, Maria B., Milasi, Monica
openaire   +2 more sources

Symmetry Analysis of an Interest Rate Derivatives PDE Model in Financial Mathematics [PDF]

Symmetry, 2019
We perform Lie symmetry analysis to a zero-coupon bond pricing equation whose price evolution is described in terms of a partial differential equation (PDE). As a result, using the computer software package SYM, run in conjunction with Mathematica, a new family of Lie symmetry group and generators of the aforementioned pricing equation are derived.
Bosiu C. Kaibe, John G. O'Hara
openaire   +1 more source

Mathematical Analysis of a PDE System for Biological Network Formation [PDF]

Communications in Partial Differential Equations, 2015
Motivated by recent physics papers describing rules for natural network formation, we study an elliptic-parabolic system of partial differential equations proposed by Hu and Cai. The model describes the pressure field thanks to Darcy's type equation and the dynamics of the conductance network under pressure force effects with a diffusion rate $D ...
Haskovec, Jan, Markowich, Peter, Perthame, Benoît   +2 more
openaire   +4 more sources

On the Mathematical Analysis and Numerical Approximation of a System of Nonlinear Parabolic PDEs

Zeitschrift für Analysis und ihre Anwendungen, 2009
In this paper we consider a boundary value problem for a system of 2 nonlinear parabolic PDEs e.g. arising in the context of flow and transport in porous media. The flow model is based on tho nonlinear Richard’s equation problem and is combined with the transport equation through saturation and Darcy’s velocity (discharge) terms. The convective terms are
Kačur, J., Malengier, B., Van Keer, R.
openaire   +3 more sources

Mathematical analysis of a PDE epidemiological model applied toscrapie transmission

Communications on Pure and Applied Analysis, 2008
El objetivo de este trabajo es analizar un modelo dinámico que describe la propagación de la tembladera en un rebaño de ovejas. La tembladera es una encefalopatía espongiforme transmisible, endémica en algunas regiones europeas y sujeta a estrictas medidas de control. El modelo tiene en cuenta varios factores y procesos, incluida la cría estacional, la
Najat Ziyadi, S. Boulite, M.L. Hbid, Suzanne Touzeau   +3 more
openaire   +4 more sources

Editorial: Dynamical systems, PDEs and networks for biomedical applications: Mathematical modeling, analysis and simulations

Frontiers in Physics, 2023
[No abstract available]
André H. Erhardt, Krasimira Tsaneva-Atanasova, Krasimira Tsaneva-Atanasova, Krasimira Tsaneva-Atanasova, Krasimira Tsaneva-Atanasova, Glenn Terje Lines, Erik Andreas Martens, Erik Andreas Martens   +7 more
openaire   +2 more sources

Mathematical analysis of a nonlinear PDE model for European options with counterparty risk

Comptes Rendus. Mathématique, 2019
In this work, we analyze a nonlinear partial differential equation (PDE) model for the total value adjustment on European options in the presence of a counterparty risk. We transform the nonlinear PDE into an equivalent one, involving a sectorial operator, and prove the existence and uniqueness of a solution.
Arregui, Iñigo, Salvador, Beatriz, Ševčovič, Daniel, Vázquez, Carlos   +3 more
openaire   +1 more source

The Influence of Field‐Assisted Sintering Technology (FAST) Temperature and Cooling Rate on the Microstructural Evolution in Gamma‐Titanium Aluminide Alloy GE4822

Advanced Engineering Materials, EarlyView.
Controlling the Field Assisted Sintering Technology (FAST) parameters, dwell temperature and cooling rate, significantly influences the microstructural evolution in titanium aluminide GE4822. Significant γ‐lamellar colonies develop only upon cooling through the α‐transus.
Jack Krohn, James Pepper, Martin Jackson
wiley   +1 more source

Embedded Ferroelectric Nanoclusters Can Drive Polarization Reversal in a Non‐Ferroelectric Polar Film via the Proximity Effect

Advanced Functional Materials, EarlyView.
Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska, Eugene A. Eliseev, Sergei V. Kalinin, Long‐Qing Chen, Dean R. Evans, Venkatraman Gopalan   +5 more
wiley   +1 more source