Results 81 to 90 of about 59,874 (192)

Quasilinear Degenerate Evolution Systems Modelling Biofilm Growth: Well‐Posedness and Qualitative Properties

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley   +1 more source

A well-posedness result for an extended KdV equation

Partial Differential Equations in Applied Mathematics
Among the most interesting things Russell discovered was there is a mathematical relation between the height of the wave, the depth of the wave when water at rest and the speed at which the wave travels.
M. Berjawi, T. El Arwadi, S. Israwi
doaj   +1 more source

Quantifying Water Content of a Landfill With ERT Data by Bayesian Evidential Learning

Geophysical Research Letters, Volume 52, Issue 20, 28 October 2025.
Abstract Accurate estimation of water storage in municipal solid waste landfills is critical for assessing leachate‐generation risk yet remains challenging due to pronounced heterogeneity. Here we apply Bayesian Evidential Learning (BEL) to directly relate Electrical Resistivity Tomography (ERT) data to total water storage (TWS), bypassing explicit ...
L. Wang, T. J. Heimovaara
wiley   +1 more source

Metric Characterizations of α-Well-Posedness for a System of Mixed Quasivariational-Like Inequalities in Banach Spaces

Journal of Applied Mathematics, 2012
The purpose of this paper is to investigate the problems of the well-posedness for a system of mixed quasivariational-like inequalities in Banach spaces.
L. C. Ceng, Y. C. Lin
doaj   +1 more source

Levitin-Polyak Well-Posedness for Equilibrium Problems with Functional Constraints

Journal of Inequalities and Applications, 2008
We generalize the notions of Levitin-Polyak well-posedness to an equilibrium problem with both abstract and functional constraints. We introduce several types of (generalized) Levitin-Polyak well-posedness.
Teo KokLay, Long XianJun, Huang Nan-Jing
doaj  

Global well-posedness for the non-viscous MHD equations with magnetic diffusion in critical Besov spaces [PDF]

, 2022
Weikui Ye, Zhaoyang Yin
openalex   +1 more source

An extension of the well-posedness concept for fractional differential equations of Caputo’s type [PDF]

, 2014
Kai Diethelm
openalex   +1 more source

Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]

J Math Biol, 2023
Walker C.
europepmc   +1 more source

Well-posedness and scalarization in vector optimization [PDF]

In this paper we study several existing notions of well-posedness for vector optimization problems. We distinguish them into two classes and we establish the hierarchical structure of their relationships.
Miglierina Enrico, Molho Elena, Rocca Matteo   +2 more
core  

Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations

Journal of Applied Mathematics, 2012
The concept of well-posedness for a minimization problem is extended to develop the concept of well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations which includes as a special case the class of ...
Lu-Chuan Ceng, Ngai-Ching Wong, Jen-Chih Yao   +2 more
doaj   +1 more source