Results 121 to 130 of about 51,978 (203)

Existence of Weak Solutions for a Degenerate Goursat‐Type Linear Problem

Mathematical Methods in the Applied Sciences, Volume 48, Issue 15, Page 14334-14341, October 2025.
ABSTRACT For a generalization of the Gellerstedt operator with mixed‐type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem.
Olimpio Hiroshi Miyagaki, Carlos Alberto Reyes Peña, Rodrigo da Silva Rodrigues   +2 more
wiley   +1 more source

Analytical solutions of the time-fractional symmetric regularized long wave equation using the [Formula: see text] model expansion method. [PDF]

Sci Rep
Aldwoah K, Eljaneid N, Younis B, Alsharafi M, Osman O, Muflh B.   +5 more
europepmc   +1 more source

Partial differential equations in data science. [PDF]

Philos Trans A Math Phys Eng Sci
Bertozzi AL, Drenska N, Latz J, Thorpe M.   +3 more
europepmc   +1 more source

Investigating the rheological properties of fourth‐grade fluid using peristaltic phenomena: A report on artificial neural network simulation and sensitivity analysis utilizing response surface methodology

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 10, October 2025.
Abstract This work aims to evaluate the implications of pressure rise per wavelength and frictional forces on peristaltic circulation in a fourth‐grade fluid using sensitivity analysis. To accomplish this objective, the frictional forces and pressure increase per wavelength are modelled empirically, linking them to functions that vary with the ...
Ahmed Zeeshan, Amad Ur Rehman, Zaheer Asghar, Muhammad Mubashir Bhatti   +3 more
wiley   +1 more source

Wave modelling of 3 + 1 dimensional Wazwaz Kaur Boussinesq equation with the bilinear neural network method. [PDF]

Sci Rep
Shahen NHM, Al Amin M, Uddin MM, Foyjonnesa, Rahman MM.   +4 more
europepmc   +1 more source

Uncertainty Quantification of Fluid Leakage and Fault Instability in Geologic CO2 ${\text{CO}}_{2}$ Storage

Water Resources Research, Volume 61, Issue 10, October 2025.
Abstract Geologic CO2 ${\text{CO}}_{2}$ storage is an important strategy for reducing greenhouse gas emissions to the atmosphere and mitigating climate change. In this process, coupling between mechanical deformation and fluid flow in fault zones is a key determinant of fault instability, induced seismicity, and CO2 ${\text{CO}}_{2}$ leakage.
Hannah Lu, Lluís Saló‐Salgado, Youssef M. Marzouk, Ruben Juanes   +3 more
wiley   +1 more source

Analytical solutions and chaotic dynamics of the extended KP-Boussinesq model via phase diagnostics. [PDF]

Sci Rep
Şenol M, Kopçasız B, Serat E, Emadifar H, Ahmed KK.   +4 more
europepmc   +1 more source

Searching for Universality of Turbulence in the Earth's Magnetosphere

Journal of Geophysical Research: Space Physics, Volume 130, Issue 10, October 2025.
Abstract Turbulence in space plasmas remains a fundamental challenge, and Earth's magnetosphere (MSP) offers a natural laboratory for its study. Using high‐resolution magnetic field data from the Magnetospheric Multiscale (MMS) mission, we extend a stochastic Markovian framework to analyze turbulence across 10 diverse magnetospheric regions, including ...
Dariusz Wójcik, Wiesław M. Macek
wiley   +1 more source

Reliable numerical scheme for coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise. [PDF]

Sci Rep
Baber MZ, Ahmed N, Yasin MW, Iqbal MS, Akgül A, Hassani MK, Jawaz M.   +6 more
europepmc   +1 more source

Spatial and Temporal Extent of Plasma Depletion Events in the Ionosphere of Mars

Journal of Geophysical Research: Planets, Volume 130, Issue 10, October 2025.
Abstract The Mars Atmosphere and Volatile Evolution (MAVEN) spacecraft has detected as many as 1,125 plasma depletion events (PDEs) in the Martian ionosphere from October 2014 to May 2021. PDEs, characterized by significantly reduced plasma density, elevated electron temperatures, and increased electrostatic fluctuations, remain poorly understood in ...
Praveen Basuvaraj, František Němec, Christopher M. Fowler, Leonardo H. Regoli, Zdeněk Němeček, Jana Šafránková, Olivier Witasse, Colin F. Wilson   +7 more
wiley   +1 more source