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Extreme Rainfall Estimation Methods: A Review

Meteorological Applications, Volume 33, Issue 5, September/October 2026.
The figure illustrates the topics we cover and their inter‐relationships. Extreme value models assign probabilities to rainfall depths, often using regionalisation. They may also allow variation with season, duration, climate epoch or the spatial extent of rainfall. The resulting storm depths can be assigned spatial and/or temporal profiles.
Duncan Faulkner, Jonathan Tawn, Christine McKenna   +2 more
wiley   +1 more source

High Perturbations of a Fractional Kirchhoff Equation with Critical Nonlinearities

Axioms
This paper concerns a fractional Kirchhoff equation with critical nonlinearities and a negative nonlocal term. In the case of high perturbations (large values of α, i.e., the parameter of a subcritical nonlinearity), existence results are obtained by the
Shengbin Yu, Lingmei Huang, Jiangbin Chen   +2 more
doaj   +1 more source

Infinitely many solutions for a quasilinear Schrödinger equation with Hardy potentials

Electronic Journal of Qualitative Theory of Differential Equations, 2020
In this article, we study the following quasilinear Schr\"odinger equation \begin{equation*} -\Delta u-\mu\frac{u}{|x|^{2}}+V(x)u-(\Delta(u^{2}))u=f(x,u),\qquad x\in \mathbb{R}^{N}, \end{equation*} where $ V(x) $ is a given positive potential and the ...
Tingting Shang, Ruixi Liang
doaj   +1 more source

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13324-13360, August 2026.
ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley   +1 more source

The Weak Core, Partition‐Based Universal Stability, and Their Risk Associations Through A Partial Order

Naval Research Logistics (NRL), Volume 73, Issue 5, Page 810-835, August 2026.
ABSTRACT We are concerned with the stability of a transferable‐utility cooperative (TU) game. First, the concept of core can be weakened so that the blocking of changes is limited to only those with multilateral backings. This principle of consensual blocking, as well as the traditional core‐defining one of unilateral blocking and one straddling in ...
Jian Yang
wiley   +1 more source

Random finite element analysis on ground subsidence caused by tunnel excavation in karst regions with spatial variable soil

Deep Underground Science and Engineering, Volume 5, Issue 2, Page 615-632, June 2026.
This study investigates ground subsidence during tunnel excavation in karst areas, highlighting the combined effects of karst cave proximity, cave size, and soil spatial variability. Findings suggest that shorter cave distances and larger cave sizes increase subsidence variability, and a modified Peck formula is proposed for more accurate subsidence ...
Zhenghong Su, Yong Fu, Miaomiao Sun, Kailin Ding, Ying Zhao   +4 more
wiley   +1 more source

On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof.
Fan Cheng, Robert Lasarzik, Marita Thomas   +2 more
wiley   +1 more source

Periodic solutions for second-order Hamiltonian systems with the p-Laplacian

Electronic Journal of Differential Equations, 2006
In this paper, we investigate the periodic solutions of Hamiltonian system with the p-Laplacian. By using Mountain Pass Theorem the existence of at least one periodic solution is obtained, Furthermore, under suitable assumptions, we obtain the ...
Weigao Ge, Yu Tian
doaj  

Existence and multiplicity of solutions for Klein–Gordon–Maxwell systems with sign-changing potentials

Advances in Difference Equations, 2019
In this paper, we study the following nonlinear Klein–Gordon–Maxwell system: {−Δu+V(x)u−(2ω+ϕ)ϕu=f(x,u)+λh(x)|u|q−2u,x∈R3,Δϕ=(ω+ϕ)u2,x∈R3,(Pλ) $$ \textstyle\begin{cases} -\Delta u+ V(x)u-(2\omega +\phi )\phi u = f(x,u)+\lambda h(x) \vert u \vert ^{q-2}u,
Chongqing Wei, Anran Li
doaj   +1 more source

Infinitely many solutions for a class of sublinear fractional Schrödinger equations with indefinite potentials

Journal of Inequalities and Applications, 2020
In this paper, we consider the following sublinear fractional Schrödinger equation: ( − Δ ) s u + V ( x ) u = K ( x ) | u | p − 1 u , x ∈ R N , $$ (-\Delta)^{s}u + V(x)u= K(x) \vert u \vert ^{p-1}u,\quad x\in \mathbb{R}^{N}, $$ where s , p ∈ ( 0 , 1 ) $s,
Wen Guan, Da-Bin Wang, Xinan Hao
doaj   +1 more source