Results 31 to 40 of about 1,157 (82)

Can Second‐Order Numerical Accuracy Be Achieved for Moist Atmospheric Dynamics With Non‐Smoothness at Cloud Edge?

Journal of Advances in Modeling Earth Systems, Volume 17, Issue 10, October 2025.
Abstract Non‐smoothness arises at cloud edge because, in moist thermodynamics, the thermodynamic properties of the atmosphere are different inside a cloud versus in clear air. In particular, inside a cloud, the vapor pressure of water is constrained by the saturation vapor pressure, which acts as a threshold.
David H. Marsico, Shukai Du, Samuel N. Stechmann   +2 more
wiley   +1 more source

Symbolic Computation of Conservation Laws of Nonlinear Partial Differential Equations in Multi-dimensions

, 2005
A direct method for the computation of polynomial conservation laws of polynomial systems of nonlinear partial differential equations (PDEs) in multi-dimensions is presented. The method avoids advanced differential-geometric tools.
Ablowitz, Ablowitz, Adams, Anco, Anco, Anderson, Anderson, Barnett, Cantarella, Deconinck, Dellar, Eklund, Faddeev, Gao, Gao, Göktaş, Göktaş, Hereman, Hereman, Hereman, Hickman, Krasil'shchik, Kruskal, Marsden, Newell, Olver, Sanz-Serna, Svendsen, Wolf, Wolf   +29 more
core   +1 more source

Nonlinear Systems of PDEs Admitting Infinite‐Dimensional Lie Algebras and Their Connection With Ricci Flows. II: The Two‐Dimensional Space Case

Studies in Applied Mathematics, Volume 155, Issue 4, October 2025.
ABSTRACT Motivated by previous results in special cases associated with Ricci flows, all possible two‐components evolutions systems of (1+2)‐dimensional second‐order partial differential equations (PDEs) admitting an infinite‐dimensional Lie algebra are constructed. It is shown that a natural generalization of this Lie algebra to the higher‐dimensional
Roman Cherniha, John R. King
wiley   +1 more source

About Bianchi I with VSL

, 2008
In this paper we study how to attack, through different techniques, a perfect fluid Bianchi I model with variable G,c and Lambda, but taking into account the effects of a $c$-variable into the curvature tensor. We study the model under the assumption,div(
A. Albrecht, A. Beesham, A. Beesham, A. Einstein, A. Harvey, A. Pradhan, A. Pradhan, A. Pradhan, A. Pradhan, A.-M.M. Abdel-Rahman, A.-M.M. Abdel-Rahman, A.A. Coley, A.I. Arbab, A.K. Raychaudhuri, A.M. Sintes, A.Z. Petrov, B. Carter, B. Carter, B. Saha, B. Saha, B.A. Bassett, B.J. Cantwell, B.J. Carr, C.B. Collins, C.P. Singh, D. Kalligas, D.M. Eardley, E. Kasner, E.R. Harrison, G.F.R. Ellis, G.I. Barenblatt, G.S. Hall, G.S. Hall, G.W. Bluman, H. Maeda, H. Stephani, I. Waga, İ. Yavuz, J. Caminati, J. Carot, J. Carot, J. Magueijo, J. Wainwright, J. Wainwright, J.A. Belinchón, J.A. Belinchón, J.A. Belinchón, J.A.S. Lima, J.A.S. Lima, J.C. Carvalho, J.D. Barrow, J.D. Barrow, J.W. Moffat, José Antonio Belinchón, K. Rosquits, K. Rosquits, K.L. Duggal, L. Hsu, M. Sharif, M. Sharif, M. Sharif, M. Szydlowski, M. Tsamparlis, M. Tsamparlis, M.A.H. MacCallum, M.E. Cahill, M.P. Ryan, M.S. Berman, N.H. Ibragimov, P.A.M. Dirac, P.J.E. Peebles, P.M. Benoit, P.P. Avelino, P.T. Olver, R.F. Sistero, T. Harko, T. Padmanabhan, T. Padmanabhan, T. Singh, U. Camcı, U. Camcı, V. Sahni, W. Chen, Y.K. Lau, Y.K. Lau   +84 more
core   +1 more source

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Algorithmic Integrability Tests for Nonlinear Differential and Lattice Equations

, 1998
Three symbolic algorithms for testing the integrability of polynomial systems of partial differential and differential-difference equations are presented. The first algorithm is the well-known Painlev\'e test, which is applicable to polynomial systems of
Ablowitz, Ablowitz, Ablowitz, Antonio J Miller, Calogero, Cariello, Cherdantsev, Chudnovsky, Clarkson, Conte, Conte, Contopoulos, Doktorov, Faddeev, Flaschka, Fokas, Gibbon, Goriely, Grammaticos, Grammaticos, Grammaticos, Göktaş, Göktaş, Göktaş, Göktaş, Hereman, Hereman, Hereman, Hereman, Hirota, Itoh, Kruskal, Kruskal, Kruskal, Kruskal, Lakshmanan, Lakshmanan, Levi, Menyuk, Michael D Colagrosso, Mikhailov, Miura, Musette, Musette, Newell, Novikov, Nunes da Costa, Olver, Palais, Ramani, Ramani, Rauch-Wojciechowski, Sachs, Scheen, Shabat, Sparrow, Steeb, Tamizhmani, Verheest, Verheest, Weiss, Willy Hereman, Wolfram, Ünal Göktaş   +63 more
core   +2 more sources

Nonlocal Cooperative Behavior, Psychological Effects, and Collective Decision‐Making: An Exemplification With Predator–Prey Models

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.
ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha, Swadesh Pal, Roderick Melnik   +2 more
wiley   +1 more source

How Do Channel Network Expansions and Retractions Affect the Shape of Hillslope Flowpath Length Distributions?

Water Resources Research, Volume 61, Issue 8, August 2025.
Abstract The length of hillslope flowpaths plays a crucial role in various hydrological, geomorphological and ecological processes. However, hillslope lengths change as the flowing network expands or contracts in response to precipitation. Currently, there is limited understanding of how channel network dynamics influence the distribution of hillslope ...
Gianluca Botter, Alessandro Cenzon, Nicola Durighetto   +2 more
wiley   +1 more source

VOA[$M$_4]

, 2020
We take a peek at a general program that associates vertex (or, chiral) algebras to smooth 4-manifolds in such a way that operations on algebras mirror gluing operations on 4-manifolds and, furthermore, equivalent constructions of 4-manifolds give rise ...
Feigin, B., Gukov, S.
core   +1 more source

Mint: Discretely Integrable Moments for Symmetric Frame Fields

Computer Graphics Forum, Volume 44, Issue 5, August 2025.
Abstract This paper studies the problem of unconstrained (e.g. not orthogonal or unit) symmetric frame field design in volumes. Our principal contribution is a novel (and theoretically well‐founded) local integrability condition for frame fields represented as a triplet of symmetric tensors of second, fourth, and sixth order.
J. Vekhter, Z. Chen, E. Vouga
wiley   +1 more source