Results 141 to 150 of about 17,298,525 (250)

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

The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion. [PDF]

Arch Ration Mech Anal, 2022
Disconzi MM, Ifrim M, Tataru D.
europepmc   +1 more source

Weak well posedness of the Dirichlet problem for equations of mixed ellptic-hyperbolic type

Le Matematiche, 2005
Equations of mixed elliptic-hyperbolic type with a homogeneous Dirichlet condition imposed on the entire boundary will be discussed. Such closed problems are typically overdetermined in spaces of classical solutions in contrast to the well-posedness for ...
Kevin R. Payne
doaj  

Global well-posedness for Schrodinger equations with derivative in a nonlinear term and data in low-order Sobolev spaces

Electronic Journal of Differential Equations, 2001
In this paper, we study the existence of global solutions to Schrodinger equations in one space dimension with a derivative in a nonlinear term. For the Cauchy problem we assume that the data belongs to a Sobolev space weaker than the finite energy space
Hideo Takaoka
doaj  

Well-posedness of Keller-Segel systems on compact metric graphs. [PDF]

J Evol Equ
Shemtaga H, Shen W, Sukhtaiev S.
europepmc   +1 more source

Local well-posedness of the periodic nonlinear Schrödinger equation with a quadratic nonlinearity ū2 in negative Sobolev spaces

, 2023
Liu R.
europepmc   +1 more source

C ∞ Well-Posedness of Higher Order Hyperbolic Pseudo-Differential Equations with Multiplicities. [PDF]

Acta Appl Math
Garetto C, Sabitbek B.
europepmc   +1 more source

Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness. [PDF]

Calc Var Partial Differ Equ
Abels H, Garcke H, Poiatti A.
europepmc   +1 more source

An additive-noise approximation to Keller-Segel-Dean-Kawasaki dynamics: local well-posedness of paracontrolled solutions. [PDF]

Stoch Partial Differ Equ
Martini A, Mayorcas A.
europepmc   +1 more source

Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space. [PDF]

Probab Theory Relat Fields
Debussche A, Liu R, Tzvetkov N, Visciglia N.   +3 more
europepmc   +1 more source