Results 61 to 70 of about 1,058 (184)
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 +5 more
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Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso +1 more
wiley +1 more source
Critically fixed Thurston maps: classification, recognition, and twisting
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract An orientation‐preserving branched covering map f:S2→S2$f\colon S^2\rightarrow S^2$ is called a critically fixed Thurston map if f$f$ fixes each of its critical points. It was recently shown that there is an explicit one‐to‐one correspondence between Möbius conjugacy classes of critically fixed rational maps and isomorphism classes of planar ...
Mikhail Hlushchanka, Nikolai Prochorov
wiley +1 more source
Engineering Reports, Volume 8, Issue 2, February 2026.This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad +3 more
wiley +1 more source
Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado +2 more
wiley +1 more source
Symmetries for the Semi-Discrete Lattice Potential Korteweg–de Vries Equation
MathematicsIn this paper, we prove that the isospectral flows associated with both the x-part and the n-part of the Lax pair of the semi-discrete lattice potential Korteweg–de Vries equation are symmetries of the equation.
Junwei Cheng, Xiang Tian
doaj +1 more source
The fifth‐order Korteweg‐de Vries equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 Decomposition is applied to the 5th‐order KdV equation.
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Quantifying Suspended Sediment Dynamics Under Energetic Nonlinear Internal Waves of Depression
Geophysical Research Letters, Volume 53, Issue 1, 16 January 2026.Abstract While nonlinear internal wave (NLIW) trains are known to influence near‐sea bed suspended sediment dynamics, the mechanisms remain a topic of debate. We present near‐sea bed observations of suspended sediment concentration C $C$ and estimates of vertical sediment flux, at high vertical‐ and temporal‐resolution, during trains of NLIW of ...
W. C. Edge +4 more
wiley +1 more source
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg-de Vries Equation. [PDF]
J Nonlinear Sci, 2023 Congy T, El GA, Roberti G, Tovbis A.
europepmc +1 more source
On the Korteweg-de Vries equation
Manuscripta Mathematica, 1979 Existence, uniqueness, and continuous dependence on the initial data are proved for the local (in time) solution of the (generalized) Korteweg-de Vries equation on the real line, with the initial function ϕ in the Sobolev space of order s>3/2 and the solution u(t) staying in the same space, s=∞ being included For the proper KdV equation, existence of ...
openaire +2 more sources