Results 41 to 50 of about 1,157 (82)

3-dimensional Cauchy-Riemann structures and 2nd order ordinary differential equations

, 2003
The equivalence problem for second order ODEs given modulo point transformations is solved in full analogy with the equivalence problem of nondegenerate 3-dimensional CR structures. This approach enables an analog of the Feffereman metrics to be defined.
Baston R J, Burns D Jr, Cartan E, Cartan E, Cartan E, Cartan E, Crampin M, Fefferman C L, Fefferman C L, Fritelli S, Graham C R, Hitchin N, Jacobowitz H, Kobayashi S, Kozameh C, Lewandowski J, Lewandowski J, Lewandowski J, Lewandowski J, Lie S, Newman E T, Nurowski P, Nurowski P, Nurowski P, Nurowski P, Olver P J, Penrose R, Penrose R, Penrose R, Petrov A Z, Poincaré H, Robinson I, Robinson I, Robinson I Trautman A R Ruffini, Segre B, Sparling G A J, Sparling G A J, Tafel J, Tafel J, Trautman A, Trautman A, Tresse M A, Tresse M A   +42 more
core   +2 more sources

A Front‐Fixing Numerical Method for a Free‐Boundary Nonlocal Diffusion Logistic Model

Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.
ABSTRACT This paper introduces a numerical method, based on a front‐fixing transformation together with a combination of the explicit finite difference schemes with the quadrature rules, to solve the Fisher‐Kolmogorov, Petrovsky and Piskunov (KPP) population model that incorporates the combined complexities of nonlocal diffusion and free boundaries ...
M.‐C. Casabán, R. Company, V. Egorova, M. Fakharany, L. Jódar   +4 more
wiley   +1 more source

A Note on Derived Geometric Interpretation of Classical Field Theories

, 2019
In this note, we would like to provide a conceptional introduction to the interaction between derived geometry and physics based on the formalism that has been heavily studied by Kevin Costello. Main motivations of our current attempt are as follows: (i)
Berktav, Kadri İlker
core   +1 more source

Advancing Stability in Robot Manipulators: A Review of Recent Progress and Parameters

Engineering Reports, Volume 7, Issue 7, July 2025.
We present an overview of the current state‐of‐the‐art in robotics while emphasizing stability and control aspects with pragmatic consideration over robotic manipulators. It is centered on robustness, efficiency, and security for applications such as industrial automation or surgical robotics.
Shabnom Mustary, Mohammod Abul Kashem, Jannatul Mawya Sony, Nayem Hossain, Mohammad Asaduzzaman Chowdhury   +4 more
wiley   +1 more source

Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions

, 2008
In this paper, a supersymmetric extension of a system of hydrodynamic type equations involving Riemann invariants is formulated in terms of a superspace and superfield formalism.
A. J. Hariton, A. M. Grundland, Courant R., Courant R., Hugoniot H., Jackiw R., Jeffrey A., Lighthill H., Loewner C., Mises R., Mokhov O. I., Niederer U., Ovsiannikov L. V., Peradzynski Z., Riemann B., Riemann B., Rozdestvenskii B., Spivak M., Whitham G. B.   +18 more
core   +1 more source

Lagrangian large eddy simulations via physics-informed machine learning. [PDF]

Proc Natl Acad Sci U S A, 2023
Tian Y, Woodward M, Stepanov M, Fryer C, Hyett C, Livescu D, Chertkov M.   +6 more
europepmc   +1 more source

The evolution of space curves by curvature and torsion

, 2002
We apply Lie group based similarity methods to the study of a new, and widely relevant, class of objects, namely motions of a space curve. In particular, we consider the motion of a curve evolving with a curvature kappa and torsion tau dependent velocity
King, John, Richardson, Giles
core   +1 more source

Group theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to Navier's slip conditions. [PDF]

PLoS One, 2021
Javaid S, Aziz A, Aziz T.
europepmc   +1 more source

Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

, 2007
We investigate multi-dimensional Hamiltonian systems associated with constant Poisson brackets of hydrodynamic type. A complete list of two- and three-component integrable Hamiltonians is obtained. All our examples possess dispersionless Lax pairs and an
A. Moro, B.A. Dubrovin, B.A. Dubrovin, C.P. Boyer, D.B. Fairlie, E. V. Ferapontov, E.V. Ferapontov, E.V. Ferapontov, E.V. Ferapontov, E.V. Ferapontov, I.M. Krichever, J. Gibbons, J. Gibbons, J. Haantjes, M. Blaszak, M. Blaszak, M. Burnat, M. Manas, M.V. Pavlov, O.I. Mokhov, S.K. Godunov, S.P. Tsarev, V. V. Sokolov, Z. Peradzyński   +23 more
core   +1 more source

Neural Network Approaches for Soft Biological Tissue and Organ Simulations. [PDF]

J Biomech Eng, 2022
Sacks MS, Motiwale S, Goodbrake C, Zhang W.   +3 more
europepmc   +1 more source