Results 131 to 140 of about 14,444,000 (235)

Well-posedness and Ill-posedness of the Nonlinear Beam Equation [PDF]

, 2013
The dissertation consists of two parts, Well-posedness and ill-posedness for the nonlinear beam equation and Strichartz estimates of the beam equation on the domains.
Wang, Shuxin
core  

Enhanced Retrieval of Raindrop Size Distribution by Integrating Disdrometer Observations and Atmospheric Variables With Machine Learning

Geophysical Research Letters, Volume 53, Issue 19, 16 October 2026.
Abstract Accurate representation of raindrop size distribution (DSD) is crucial for understanding precipitation microphysics and improving quantitative precipitation forecasting. Conventional methods in numerical models often prescribe the DSD shape parameter as a constant or derive it from empirical relationships based solely on disdrometer ...
Limin Lin, Huiling Yuan, Xuwei Bao, Shangshang Yang, Lin Deng, Shuai Zhang, Yuanming Zhao   +6 more
wiley   +1 more source

Well-posedness of one-dimensional Korteweg models

Electronic Journal of Differential Equations, 2006
We investigate the initial-value problem for one-dimensional compressible fluids endowed with internal capillarity. We focus on the isothermal inviscid case with variable capillarity.
Sylvie Benzoni-Gavage, Raphael Danchin, Stephane Descombes   +2 more
doaj  

Well-posedness for a stochastic 2D Euler equation with transport noise. [PDF]

Stoch Partial Differ Equ, 2023
Lang O, Crisan D.
europepmc   +1 more source

A Unified Block‐Modal Framework for Inverse Source Problems in Heat and Mass Transfer

International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.
ABSTRACT This work presents a unified block–modal framework for inverse source identification in linear diffusive problems arising in heat and mass transfer. Starting from a general parabolic model with mixed boundary operators, the Classical Integral Transform Technique is employed to project the dynamics onto an orthonormal eigenbasis, yielding a ...
André J. P. de Oliveira, Diego C. Knupp, Lucas L. S. Costa, Luiz A. S. Abreu, Mousa J. Huntul, Antônio J. Silva Neto   +5 more
wiley   +1 more source

Fractal–Fractional Operators Applied to Water Pollution Model: Well Posedness, Stability, and Simulation

Journal of Applied Mathematics
Water contamination is a crucial area of study that has drawn significant attention from researchers and environmentalists due to its profound impact on humans, animals, and plants.
Pasquini Fotsing Soh, Mathew Kinyanjui, David Malonza, Roy Kiogora   +3 more
doaj   +1 more source

WELL-POSEDNESS OF A MATHEMATICAL MODEL OF DIABETIC ATHEROSCLEROSIS WITH ADVANCED GLYCATION END-PRODUCTS. [PDF]

Appl Anal, 2022
Xie X.
europepmc   +1 more source

Well-Posedness in M-Ultradifferentiable Spaces for Weakly Hyperbolic Cauchy Problems with Hölder Continuous Coefficients

ITEGAM-JETIA
In this article, we demonstrate the weakly hyperbolic Cauchy problem under Hölder's regularity of a coefficient depending on time in the context of M-ultradifferentiable well-posedness.
Said Bouaziz, Khaled Benmeriem, Laid Gasmi   +2 more
doaj   +1 more source

A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier-Lebesgue Spaces. [PDF]

J Dyn Differ Equ, 2023
Chapouto A.
europepmc   +1 more source

The Microscopic Derivation and Well-Posedness of the Stochastic Keller-Segel Equation. [PDF]

J Nonlinear Sci, 2021
Huang H, Qiu J.
europepmc   +1 more source