Initiation of deep convection through deepening of a well‐mixed boundary layer
Sign Up to like & getrecommendations! Published in 2021 at "Quarterly Journal of the Royal Meteorological Society"
DOI: 10.1002/qj.4117
Abstract: The present study examines mechanisms by which deep moist convection may be initiated through deepening of a well‐mixed convective boundary layer under large‐scale low‐level convergence. The process is examined using a standard formulation for the… read more here.
Keywords: mixed boundary; convection; layer; boundary layer ... See more keywords
Large-charge limit of AdS boson stars with mixed boundary conditions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep04(2021)220
Abstract: It was recently shown that charged AdS boson stars can reproduce the universal structure of the lowest scaling dimension in the subsector of a CFT with fixed large global $U(1)$ charge $Q$. Using the model… read more here.
Keywords: large charge; boundary conditions; mixed boundary; ads boson ... See more keywords
On the weak solutions to steady Navier-Stokes equations with mixed boundary conditions
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2072-7
Abstract: In this paper, for the Navier-Stokes equations in a bounded connected polygon or polyhedron $$\Omega \subset R^d$$Ω⊂Rd, $$d=2,3$$d=2,3, with a homogenous stress type mixed boundary condition, we establish an a priori estimate for the weak… read more here.
Keywords: stokes equations; weak solutions; mixed boundary; navier stokes ... See more keywords
The mollification method based on a modified operator to the ill-posed problem for 3D Helmholtz equation with mixed boundary
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.10.012
Abstract: Abstract The paper is considered a Cauchy problem for Helmholtz equation with mixed boundary in three-dimensional case. The problem is severely ill-posed (small deviation in the data may produce large errors in the computed solution),… read more here.
Keywords: problem helmholtz; helmholtz equation; mixed boundary; equation mixed ... See more keywords
Mixed boundary value problems in power-law functionally graded circular annulus
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Pressure Vessels and Piping"
DOI: 10.1016/j.ijpvp.2021.104402
Abstract: Abstract The present work proposes a semi-analytical technique for solution of mixed boundary value problem in functionally graded circular annulus wherein shear modulus varies radially in power-law form while Poisson’s ratio is constant. The technique… read more here.
Keywords: functionally graded; graded circular; boundary value; annulus ... See more keywords
Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.04.046
Abstract: Abstract In this paper we study the existence of weak solutions to initial boundary value problems of linear and semi-linear parabolic equations with mixed boundary conditions on non-cylindrical domains ⋃ t ∈ ( 0 ,… read more here.
Keywords: non cylindrical; cylindrical domains; mixed boundary; condition ... See more keywords
A mixed boundary value problem for u = f(x,y,u,u,u)
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.11.063
Abstract: Abstract Consider a single hyperbolic PDE u x y = f ( x , y , u , u x , u y ) , with locally prescribed data: u along a non-characteristic curve M… read more here.
Keywords: value problem; mixed boundary; boundary value;
Eigenvalues of the Laplacian with moving mixed boundary conditions: The case of disappearing Neumann region
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2022.02.052
Abstract: We deal with eigenvalue problems for the Laplacian with varying mixed boundary conditions, consisting in homogeneous Neumann conditions on a vanishing portion of the boundary and Dirichlet conditions on the complement. By the study of… read more here.
Keywords: mixed boundary; boundary conditions; eigenvalues laplacian; case ... See more keywords
Stability results for a reaction-diffusion problem with mixed boundary conditions and applications to some symmetric cases
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.027
Abstract: Abstract In this article we consider a one-dimensional reaction-diffusion problem with mixed boundary conditions. We provide conditions for the existence or nonexistence of stable nonconstant solutions whose derivative vanishes at some point. As an application,… read more here.
Keywords: problem mixed; diffusion problem; boundary conditions; mixed boundary ... See more keywords
A novel efficient numerical solution of Laplace equation with mixed boundary conditions
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2021.1967939
Abstract: This paper describes a new type of method to solve Laplace equation subject to mixed boundary conditions in two-dimensional domains for electrostatics. The electric potential ϕ is represented by harmonic Steklov eigenfunctions, obtained from a… read more here.
Keywords: boundary conditions; efficient numerical; mixed boundary; laplace equation ... See more keywords
Polyharmonic Neumann and mixed boundary value problems in the Heisenberg group
Sign Up to like & getrecommendations! Published in 2017 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2016.1278439
Abstract: We study the polyharmonic Neumann and mixed boundary value problems on the Korányi ball in the Heisenberg group . Necessary and sufficient solvability conditions are obtained for the nonhomogeneous polyharmonic Neumann problem and Neumann–Dirichlet boundary… read more here.
Keywords: neumann mixed; mixed boundary; boundary value; value problems ... See more keywords