Results 51 to 60 of about 209 (114)

Unified Ray and Amplitude Tracing ODE Systems for the Eikonal and Transport Equations via Contact Geometry

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT High‐frequency seismic wave descriptions are essential for fundamental geophysical applications, including earthquake hypocenter location, magnitude estimation, and traveltime–amplitude tomography. These descriptions rely on two coupled PDEs: the eikonal equation (governing traveltimes) and the transport equation (governing amplitudes ...
Ahmet Beyaz, Çağrı Diner, Mustafa Tevfik Aktar   +2 more
wiley   +1 more source

Exponential convergence for ultrafast diffusion equations with log‐concave weights

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log‐concave and log‐lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in Iacobelli [Discrete Contin. Dyn. Syst. 39 (2019), 4929–4943].
Max Fathi, Mikaela Iacobelli
wiley   +1 more source

Isometric immersions into three‐dimensional unimodular metric Lie groups

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro, José M. Manzano, José S. Santiago   +2 more
wiley   +1 more source

Some aspects of hyperbolic PDE : persistence of shock waves in compressible fluid dynamics, traffic flow modelling, stability of scalar balance laws and applications

, 2009
On étudie dans ce travail des systèmes de lois de conservation hyperboliques. La première partie étudie le temps d'existence des solutions régulières et régulières par morceaux de la dynamique des fluides compressibles.
Mercier, Magali
core  

Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]

Nonlinear Differ Equ Appl
Agresti A, Veraar M.
europepmc   +1 more source

Beyond diagonal noise: A better predator-prey modeling framework with cross-covariance. [PDF]

PLoS One
Yu J, Wang LS.
europepmc   +1 more source

Naked Singularities in the Einstein-Euler System. [PDF]

Ann PDE, 2023
Guo Y, Hadzic M, Jang J.
europepmc   +1 more source

Coupled SDE-ODE Modeling of Tumor-Immune Dynamics to Infer Biomarker Release. [PDF]

Bull Math Biol
Shrestha P, Fan Y, George JT.
europepmc   +1 more source

Waves in a Stochastic Cell Motility Model. [PDF]

Bull Math Biol, 2023
Hamster C, van Heijster P.
europepmc   +1 more source

Long-time behaviour and bifurcation analysis of a two-species aggregation-diffusion system on the torus. [PDF]

Calc Var Partial Differ Equ
Carrillo JA, Salmaniw Y.
europepmc   +1 more source