Results 91 to 100 of about 1,153,504 (344)
The Nonsteady Boussinesq System with Mixed Boundary Conditions including Conditions of Friction Type
International Journal of Differential Equations, 2020 In this paper, we are concerned with the nonsteady Boussinesq system under mixed boundary conditions. The boundary conditions for fluid may include Tresca slip, leak and one-sided leak conditions, velocity, static (or total) pressure, rotation, and ...
Tujin Kim
doaj +1 more source
Extremizing Temperature Functions of Rods with Robin Boundary Conditions [PDF]
arXiv, 2021 We compare the solutions of two one-dimensional Poisson problems on an interval with Robin boundary conditions, one with given data, and one where the data has been symmetrized. When the Robin parameter is positive and the symmetrization is symmetric decreasing rearrangement, we prove that the solution to the symmetrized problem has larger increasing ...
arxiv
Advanced Materials, EarlyView.Leveraging the strong metal‐support interaction effect, heterostructured interfaces in a Co‐based catalyst are designed to enable low‐temperature ammonia (NH3) decomposition. The induced tensile lattice strain within the core‐shell structure modulates d‐band center of Co, enhancing NH3 adsorption and facilitating N─H bond dissociation. Furthermore, the
Pei Xiong +10 more
wiley +1 more source
Well-Posedness of the Nonlinear Unsteady Prandtl Equations with Robin Boundary Condition in Weighted Sobolev Spaces [PDF]
arXiv, 2015 In this paper, we study the well-posedness of classical solutions to the nonlinear unsteady Prandtl equations with Robin boundary condition in half space in weighted Sobolev spaces. We firstly investigate the monotonic shear flow with Robin boundary condition and the linearized Prandtl-type equations with Robin boundary condition in weighted Sobolev ...
arxiv
About the Convergence of a Family of Initial Boundary Value Problems for a Fractional Diffusion Equation with Robin Conditions [PDF]
arXiv, 2021 We consider a family of initial boundary value problems governed by a fractional diffusion equation with Caputo derivative in time, where the parameter is the Newton heat transfer coefficient linked to the Robin condition on the boundary. For each problem we prove existence and uniqueness of solution by a Fourier approach.
arxiv
Maximal regularity for non-autonomous Robin boundary conditions
, 2015 We consider a non-autonomous Cauchy problem involving linear operators associated with time-dependent forms $a(t;.,.):V\times V\to {\mathbb{C}}$ where $V$ and $H$ are Hilbert spaces such that $V$ is continuously embedded in $H$.
Arendt, Wolfgang, Monniaux, Sylvie
core +2 more sources
Interfacial Yield Stress Response in Synthetic Mucin Solutions
Advanced Materials Interfaces, EarlyView.The solution rheology of novel synthetic mucins mimicking natural mucin domains is studied. Like many natural mucin solutions, apparent solid‐like rheology is seen. However, no bulk structural features are found to explain it. Interfacial rheology and robust modelling reveal that this arises from molecular associations at the air–water interface ...
Sumit Sunil Kumar +7 more
wiley +1 more source
Optimized Schwarz waveform relaxation for heterogeneous Cattaneo-Vernotte non-Fourier heat transfer
AIMS MathematicsThe non-Fourier heat transfer in heterogeneous media is crucial for material science and biomedical engineering. The optimized Schwarz waveform relaxation (OSWR) method is an efficient approach for solving such problems due to its divide-and-conquer ...
Feng Hu, Yingxiang Xu
doaj +1 more source
Lower bounds for the finite-time blow-up of solutions of a cancer invasion model
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this article, we consider non-negative solutions of the nonlinear cancer invasion mathematical model involving proliferation and growth functions with homogeneous Neumann and Robin type boundary conditions.
Shangerganesh Lingeshwaran +2 more
doaj +1 more source
Courant-sharp Robin eigenvalues for the square: the case of negative Robin parameter [PDF]
arXiv, 2020 We consider the cases where there is equality in Courant's nodal domain theorem for the Laplacian with a Robin boundary condition on the square. In our previous two papers, we treated the cases where the Robin parameter $h>0$ is large, small respectively. In this paper we investigate the case where $h<0\,$.
arxiv