Results 81 to 90 of about 18,044,700 (176)

Strongly damped wave equations with fractional diffusions: well-posedness and global attractors

Advances in Pure and Applied Mathematics
This paper is concerned with the nonlinear strongly damped wave equations involving the fractional Laplacian and regional fractional Laplacian with various boundary conditions.
Le Tran Tinh
doaj   +1 more source

Global well-posedness of the non-isothermal model for incompressible nematic liquid crystals

Boundary Value Problems, 2017
In this paper, a macromolecular non-isothermal model for the incompressible hydrodynamics flow of nematic liquid crystals on T 3 $\mathbb {T}^{3}$ is considered. By a Galerkin approximation, we prove the local existence of a unique strong solution if the
Quanrong Li
doaj   +1 more source

Dam Management in the Era of Climate Change

Mathematical Finance, Volume 36, Issue 4, Page 870-895, October 2026.
ABSTRACT Climate change has a dramatic impact, particularly by concentrating rainfall into a few short periods, interspersed with long dry spells. In this context, the role of dams is crucial. We consider the optimal control of a dam, where the water level must neither exceed a designated safety threshold nor fall below a minimum level to ensure ...
Cristina Di Girolami, M'hamed Gaïgi, Vathana Ly Vath, Simone Scotti   +3 more
wiley   +1 more source

Global well-posedness for nonlinear Schrodinger equations with energy-critical damping

Electronic Journal of Differential Equations, 2015
We consider the Cauchy problem for the nonlinear Schrodinger equations with energy-critical damping. We prove the existence of global in-time solutions for general initial data in the energy space. Our results extend some results from [1,2].
Binhua Feng, Dun Zhao
doaj  

Solvability and Boundedness in Chemotaxis‐Consumption Models With Oppositely Acting Nonlocal Sources

Mathematical Methods in the Applied Sciences, Volume 49, Issue 14, Page 16146-16162, 30 September 2026.
ABSTRACT In this paper, we investigate a chemotaxis system featuring a class of external source terms that incorporate both local and nonlocal growth as well as dampening effects. The model describes the evolution of a cell density u$$ u $$, which migrates in response to a chemical signal v$$ v $$, within an impermeable habitat.
Rafael Díaz Fuentes, Fatma Gamze Düzgün, Silvia Frassu, Giuseppe Viglialoro   +3 more
wiley   +1 more source

Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15316-15326, 15 September 2026.
ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Hui Chen, Su Liang, Tai‐Peng Tsai
wiley   +1 more source

Hybrid Coupling With Operator Inference and the Overlapping Schwarz Alternating Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT This paper presents a hybrid approach for coupling subdomain‐local, nonintrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain‐local, high‐fidelity full order models (FOMs) using the overlapping Schwarz alternating method (O‐SAM).
Irina Tezaur, Eric Parish, Anthony Gruber, Ian Moore, Christopher Wentland, Alejandro Mota   +5 more
wiley   +1 more source

Global well-posedness for Klein-Gordon-Hartree and fractional Hartree equations on modulation spaces

, 2021
We study the Cauchy problems for the Klein-Gordon (HNLKG), wave (HNLW), and Schrodinger (HNLS) equations with cubic convolution (of Hartree type) nonlinearity.
Bhimani, Divyang
core  

Well-posedness in the Generalized Sense for Variational Inclusion and Disclusion Problems and Well Posedness for Optimization Problems with Constraint

, 2011
[[abstract]]In this paper, we study the well-posedness in the generalized sense for variational inclusion problems and variational disclusion problems, the well-posedness for optimization problems with variational inclusion problems, variational ...
Lin Lai-Jiu; Chih-Sheng Chuang
core  

On well-posedness and decay of Active model B

Nonlinear Analysis
We study the well-posedness and decay estimates of Cauchy problem for Active model B in R3. First, based on the higher-order norm estimates of solutions and the mollifier technique, we obtain the local existence of unique strong solution. Then, by using
Fengnan Liu, Tong Wu, Xiaopeng Zhao
doaj   +1 more source