Results 21 to 30 of about 2,574 (114)

Ghost effect from Boltzmann theory

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito, Yan Guo, Rossana Marra, Lei Wu   +3 more
wiley   +1 more source

A Thermodynamic Framework for Turing‐Type Instabilities in Porous Media: Part I Theory

Geochemistry, Geophysics, Geosystems, Volume 27, Issue 3, March 2026.
Abstract Pattern formation in geological materials is commonly described using analogies to Turing‐type reaction–diffusion systems, yet a unifying thermodynamic explanation remains elusive. Here we develop a multiscale, thermodynamically consistent framework for pattern‐forming instabilities in porous media undergoing coupled thermo–hydro–mechanical ...
Klaus Regenauer‐Lieb, Manman Hu, Qingpei Sun, Chong Liu, Zhennan Zhu, Victor Calo   +5 more
wiley   +1 more source

Continuous symmetry reduction and return maps for high-dimensional flows

, 2010
We present two continuous symmetry reduction methods for reducing high-dimensional dissipative flows to local return maps. In the Hilbert polynomial basis approach, the equivariant dynamics is rewritten in terms of invariant coordinates. In the method of
Anosov, Arnol’d, Bakasov, Barkley, Beyn, Biktashev, Bredon, Broucke, Cartan, Chenciner, Chenciner, Chenciner, Chossat, Christiansen, Cushman, Cvitanović, Cvitanović, Cvitanović, Cvitanović, Evangelos Siminos, Faisst, Fels, Fels, Fiedler, Fiedler, Field, Fowler, Gatermann, Gibbon, Gibson, Gilmore, Gilmore, Golubitsky, Guillemin, Haller, Hof, Hoyle, Huygens, Kawahara, Kirwan, Krupa, Lan, Lan, Letellier, Lorenz, Malige, Marsden, Marsden, Mielke, Mostow, Ning, Ning, Ning, Ning, Olver, Palais, Poincaré, Predrag Cvitanović, Rand, Rowley, Rowley, Ruelle, Sadovski, Sandstede, Sandstede, Toronov, Toronov, Tucker, Viswanath, Vladimirov, Wedin, Yoder, Zeghlache   +72 more
core   +1 more source

Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen-Cahn Equation

, 2015
We study the Allen-Cahn equation with a cubic-quintic nonlinear term and a stochastic $Q$-trace-class stochastic forcing in two spatial dimensions. This stochastic partial differential equation (SPDE) is used as a test case to understand, how numerical ...
Kuehn, Christian
core   +2 more sources

Exploration of Soliton Solutions and Bifurcation Analysis in Fluid Dynamics Governed by M Fractional (3+1)‐Dimensional Generalized B‐Type Kadomtsev–Petviashvili (gBKP) Equation

Engineering Reports, Volume 8, Issue 2, February 2026.
Explore the soliton solutions, stability, and chaotic characteristics of the M fractional (3+1)‐dimensional generalized B‐type Kadomtsev–Petviashvili (gBKP) equation, where a Galilean transformation is performed to get the related system of equations.
Md. Habibul Bashar, Md. Abde Mannaf, Anika Rahman, Md. Shahinur Islam, Hure Zannatul Mawa, Parvin Akter   +5 more
wiley   +1 more source

A meeting point of entropy and bifurcations in cross-diffusion herding

, 2016
A cross-diffusion system modeling the information herding of individuals is analyzed in a bounded domain with no-flux boundary conditions. The variables are the species' density and an influence function which modifies the information state of the ...
Jüngel, Ansgar, Kuehn, Christian, Trussardi, Lara   +2 more
core   +2 more sources

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

The GJMS operators in geometry, analysis and physics

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source

Exact Soliton Dynamics and Stability Analysis of a Fractional Order Coupled Wu‐Zhang System via a Generalized Riccati−Bernoulli−Bäcklund Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To investigate the fractional coupled Wu‐Zhang system analytically, this paper uses a hybrid generalized Riccati−Bernoulli sub‐ODE scheme and Bäcklund transformation to find the exact kink, antikink, and bright‐kink soliton solutions. The dynamical properties of these solutions are discussed using Hamiltonian formulation, phase‐portrait analysis, and ...
M. Mossa Al-Sawalha, Linda Alzaben, Asıf Yokus   +2 more
wiley   +1 more source

A scalar nonlocal bifurcation of solitary waves for coupled nonlinear Schroedinger systems

, 2002
An explanation is given for previous numerical results which suggest a certain bifurcation of `vector solitons' from scalar (single-component) solitary waves in coupled nonlinear Schroedinger (NLS) systems.
Akhmediev N N, Alan R Champneys, Devaney R L, Jianke Yang, Landau L D, Manakov S V, Ostrovskaya E A, Pelinovsky D E, Yang J, Zakharov V E   +9 more
core   +1 more source