Results 61 to 70 of about 111,630 (280)

Lie point symmetries for generalised Fisher's equations describing tumour dynamics

Mathematical Biosciences and Engineering, 2021
A huge variety of phenomena are governed by ordinary differential equations (ODEs) and partial differential equations (PDEs). However, there is no general method to solve them. Obtaining solutions for differential equations is one of the greatest problem for both applied mathematics and physics.
Chulián, Salvador, Martínez Rubio, Álvaro, Gandarias Núñez, María Luz, Rosa Durán, María   +3 more
openaire   +5 more sources

Group Analysis of the Novikov Equation

, 2012
We find the Lie point symmetries of the Novikov equation and demonstrate that it is strictly self-adjoint. Using the self-adjointness and the recent technique for constructing conserved vectors associated with symmetries of differential equations, we ...
A Degasperis, AA Himonas, ANW Hone, ANW Hone, Igor Leite Freire, IL Freire, IL Freire, IL Freire, L Ni, M Torrisi, ML Gandarias, Nail H. Ibragimov, NH Ibragimov, NH Ibragimov, NH Ibragimov, NH Ibragimov, PJ Olver, R Camassa, VS Novikov, W Yan, X Wu, Y Bozhkov, Yuri Bozhkov, Z Jiang   +23 more
core   +1 more source

A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller

International Journal of Adaptive Control and Signal Processing, EarlyView.
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg, Paulo Jefferson Dias de Oliveira Evald, Shivam Chaturvedi, Hilton Abilio Gründling, Rodrigo Varella Tambara, Wencong Su   +5 more
wiley   +1 more source

Nonlinear potential filtration equation and global actions of Lie symmetries

Electronic Journal of Differential Equations, 2009
The Lie point symmetries of the nonlinear potential filtration equation break into five cases. Contact symmetries provide another two cases. By restricting to a natural class of functions, we show that these symmetries exponentiate to a global action ...
Mark R. Sepanski
doaj  

Heat polynomials and Lie point symmetries

Journal of Mathematical Analysis and Applications, 2006
On the example of the \(1+1\) dimensional heat equation the author develops the generalized procedure of polynomial solutions construction based on the group theoretical properties of the equation.
openaire   +2 more sources

Continuous Symmetries of Difference Equations

, 2005
Lie group theory was originally created more than 100 years ago as a tool for solving ordinary and partial differential equations. In this article we review the results of a much more recent program: the use of Lie groups to study difference equations ...
Ablowitz M J, Ablowitz M J, Ablowitz M J, Ablowitz M J, Ablowitz M J, Aczel J, Aczel J, Adler V E, Ames W F, Anderson R L, Baĭkov V A, Baĭkov V A, Baĭkov V A, Bakirova M, Baumann G, Bluman G, Bluman G W, Bluman G W, Boiti M, Boutin M, Bruschi M, Bruschi M, Budd C, Byrnes G B, Calogero F, Cantwell B J, Cicogna G, Cicogna G, Decio Levi, DiBucchianico A, Dimakis A, Dodd R K, Dorodnitsyn V A, Dorodnitsyn V A, Dorodnitsyn V A, Dorodnitsyn V A, Durán A, Elaydi S, Faddeev L D, Fermi E Pasta J Ulam S, Fushchich V I, Fushchich V I, Fushchich W I, Gaeta G, Gaeta G, Gaeta G, Grammaticos B, Grammaticos B, Helgason S, Hereman W, Hernández Heredero R, Hernández Heredero R, Hernández Heredero R, Hernández Heredero R, Hernández Heredero R, Hietarinta J, Hietarinta J, Hill J M, Ibragimov N H, Ibragimov N H, Ibragimov N H, Ibragimov N H, Iserles A, Jacobson N, Jordan C, Kersten P H M, Kruskal M D, Lafortune S, Lamb J S W, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D Gazeau J-P Kerner R Antoine J-P Métens S Thibon J-Y, Levi D Winternitz P Atakishiyev N M Seligman T H Wolf K B, Lie S, Lie S, Lie S, Lie S, Maeda S, Maeda S, Maeda S, Manakov S V, Martina L, Mikhailov A V, Milne-Thomson L M, Moody R V, Naimark M A, Newell A C, Niederer U, Nijhoff F Capel H W Hazewinkel M Capel H W de Jager E M, Nijhoff F W, Nijhoff F W, Nijhoff F W, Nijhoff F W, Nijhoff F W Papageorgiou V G Capel H W, Noether E, Novikov S, Olver P J, Ovsiannikov L V, Pavel Winternitz, Ramani A, Remoissenet M, Rodríguez M A, Rogers C, Roman S, Rota G C, Rota G C, Sahadevan R, Sahadevan R Byrnes G B Quispel G R W Levi D Vinet L Wintemitz P, Shabat A B, Sokolov V V, Steeb W-H, Stephani H, Stormark O, Suris, Tamizhmani K M, Thomas J W, Toda M, Toda M, Tzitzeica G, Tzitzeica G, Valiquette F, Winternitz P, Winternitz P, Winternitz P, Winternitz P, Winternitz P Corney S P Delbourgo R Jarvis P D, Winternitz P Levi D Winternitz P, Y-s Li, Zakharov V E   +154 more
core   +2 more sources

Planar Solid‐State Nanopores Toward Scalable Nanofluidic Integration Based on CMOS Technology

Advanced Engineering Materials, EarlyView.
We present a scalable silicon‐based fabrication strategy for planar solid‐state nanopores to enable their integration with complex nanofluidic systems. Prototype devices demonstrate normal voltage‐current characteristics, good noise performance, and appreciable streaming currents. Our CMOS‐compatible fabrication process offers precise geometric control
Ngan Hoang Pham, Chenyu Wen, Mohammad Hadi Khaksaran, Won‐Yong Lee, Javier Cruz, Klas Hjort, Dongping Wu, Shi‐Li Zhang   +7 more
wiley   +1 more source

Lie point symmetry reductions of Bondi's radiating metric

Journal of Physics: Conference Series, 2007
The Lie point symmetries of the Einstein vacuum equations corresponding to the Bondi form of the line element are presented. Using these symmetries, we study reductions of the field equations, which might lead to new asymptotically flat solutions, representing gravitational waves emitted by an isolated source.
S Dimas, D Tsoubelis, P Xenitidis
openaire   +1 more source

Combined Process‐ and Phase‐Field‐Simulation to Predict the Microstructure of Single‐Crystal Ni‐Based Superalloys

Advanced Engineering Materials, EarlyView.
A combined finite element and phase‐field approach predicts the evolution of microstructure during the directional solidification of Ni‐based superalloys. The model reveals how withdrawal rate, temperature gradient, and wall thickness control the dendrite spacing, highlighting the strong effect of surface regions in thin sections where dendrite growth ...
Sean Böhm, André B. Baldissera, Rainer Völkl, Uwe Glatzel   +3 more
wiley   +1 more source

Powder Optimization Strategies for Binder Jetting Printing of BaTiO3 and Ba0,6Sr0,4TiO3 Ceramics

Advanced Engineering Materials, EarlyView.
Powder optimization is investigated to enable binder jetting of BaTiO3 and Ba0.6Sr0.4TiO3 ferroelectric ceramics. The antagonistic relationship between flowability and binder compatibility is addressed through binder impregnation of granulated powders and fumed silica addition to fine powders.
Fanny Pruvost, Lionel Presmanes, Soléna Colin, Marie Vidal, Sophie Guillemet‐Fritsch   +4 more
wiley   +1 more source