Results 51 to 60 of about 539,609 (355)

Grassmannian flows and applications to nonlinear partial differential equations

, 2018
We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data.
A Abbondandolo, A Pressley, C Martin, C Pöppe, C Pöppe, C Pöppe, C Pöppe, CA Tracy, FJ Dyson, G Segal, G Wilson, HP McKean, I. Karambal, J Deng, J Schiff, JC Alexander, K Furutani, M Beck, M Reed, M Sato, M. I. Zelikin, MA Guest, Margaret Beck, MJ Ablowitz, NF Britton, Ole Christensen, P Balazs, P Griffiths, PG Drazin, Philippe Blanchard, R Hermann, RK Dodd, RM Miura, RW Brockett, S Bian, T Miwa, V Ledoux, V Ledoux, VE Zakharov, W Bauhardt   +39 more
core   +1 more source

Effects of Long-Range Nonlinear Interactions in Double-Well Potentials [PDF]

, 2010
We consider the interplay of linear double-well-potential (DWP) structures and nonlinear longrange interactions of different types, motivated by applications to nonlinear optics and matter waves.
Akhmediev, Albiez, Albuch, Ananikian, Asad-uz-Zaman, B.A. Malomed, Baizakov, Bang, Birnbaum, Birnbaum, Briedis, C. Wang, Cambournac, Chu, Cuevas, D.J. Frantzeskakis, Deiglmayr, Dounas-Frazer, Giovanazzi, Gligorić, Griesmaier, Griesmaier, Griesmaier, Grillakis, Kapitula, Kevrekidis, Kirr, Kivshar, Królikowski, Köhler, Lahaye, Lahaye, Lang, Löw, Mahmud, Maimistov, Malomed, Marinescu, Mayteevarunyoo, Mazets, Morsch, Nath, Nath, Ospelkaus, Ostrovskaya, P.G. Kevrekidis, Paré, Pedri, Pethick, Pitaevskii, Raghavan, Raghavan, Rotschild, Sacchetti, Sage, Shchesnovich, Sinha, Smerzi, Snyder, Stuhler, Sulem, Theocharis, Tikhonenkov, Tikhonenkov, Vakhitov, Wang, Werner, Wyller, Xiong, Zibold, Ziń   +70 more
core   +3 more sources

Two numerical methods for fractional partial differential equation with nonlocal boundary value problem

Advances in Differential Equations, 2018
The exact solution of fractional telegraph partial differential equation of nonlocal boundary value problem is obtained. The theorem of stability estimates is presented for this equation.
Mahmut Modanlı
semanticscholar   +1 more source

Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity [PDF]

, 2010
We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that the associated Cauchy problem is globally well-posed with non-zero ...
André de Laire, Béthuel F., Béthuel F., Cazenave T., Coste C., Fasshauer G.E., Grafakos L., Gustafson S., Gérard P., Hörmander L., Krantz S.G., Lebedev N.N., Pitaevskii L.P., Schwartz L., Stein E.M., Yi S.   +15 more
core   +3 more sources

To the solution of integro-differential equations with nonlocal conditions

TURKISH JOURNAL OF MATHEMATICS, 2021
Summary: We investigate linear integro-differential equations with ordinary derivatives. The kernels of the integrands depend only on the variable of integration, and the conditions involve the terms with the point and integral values of the unknown function.
Aida-Zade, Kamil R., Abdullayev, Vagif M.   +1 more
openaire   +1 more source

On stochastic solutions of nonlocal random functional integral equations

Arab Journal of Mathematical Sciences, 2019
In this paper, we use Schauder’s fixed point to establish the existence of at least one solution for a functional nonlocal stochastic differential equation under sufficient conditions in the space of all square integrable stochastic processes with a ...
M.M. Elborai, M.I. Youssef
doaj   +1 more source

Porous Three-Dimensional Scaffold Generation for 3D Printing

Mathematics, 2020
In this paper, we present an efficient numerical method for arbitrary shaped porous structure generation for 3D printing. A phase-field model is employed for modeling phase separation phenomena of diblock copolymers based on the three-dimensional ...
Chaeyoung Lee, Darae Jeong, Sungha Yoon, Junseok Kim   +3 more
doaj   +1 more source

On the complete integrability and linearization of nonlinear ordinary differential equations - Part II: Third order equations [PDF]

, 2005
We introduce a method for finding general solutions of third-order nonlinear differential equations by extending the modified Prelle-Singer method. We describe a procedure to deduce all the integrals of motion associated with the given equation so that ...
Chandrasekar, V. K., Lakshmanan, M., Senthilvelan, M.   +2 more
core   +2 more sources

Investigation of Iron‐Aluminide‐Like Phase Composition in Complex Concentrated Fe32Cu12Ni11Ti16Al29 Alloy

Advanced Engineering Materials, EarlyView.
This work reveals the phase composition and quantitative morphology analysis of precipitation‐hardened Fe32Cu12Ni11Ti16Al29 complex‐concentrated alloy. The precipitates are shown to have a high coherency. Morphology transition between sphere, cuboidal, and elongated morphology is observed. Finally, the overaging behavior is captured using microhardness.
Rostyslav Nizinkovskyi, Lukas Hanisch, Georg Hasemann, Puspendu Sahu, Manja Krüger   +4 more
wiley   +1 more source

Regularity theory for fully nonlinear integro-differential equations [PDF]

, 2008
We consider nonlinear integro-differential equations, like the ones that arise from stochastic control problems with purely jump L\`evy processes.
Caffarelli, Luis, Silvestre, Luis
core   +3 more sources