Results 81 to 90 of about 20,411 (217)
Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT In this work, we are motivated by a recent variant of the nonlinear Schrödinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of uncovering diverse stationary solutions in such NLS models.
Sun Lee +2 more
wiley +1 more source
Diffusion processes and coalescent trees [PDF]
, 2009 We dedicate this paper to Sir John Kingman on his 70th Birthday. In modern mathematical population genetics the ancestral history of a population of genes back in time is described by John Kingman’s coalescent tree.
R. C. Griffiths +7 more
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Nonstationary scattering of elastic waves by a spherical inclusion [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаProblems of elastic wave scattering by various types of inhomogeneities rank among the most complex and relevant topics in the field of deformable solid dynamics.
Usmonov, Botir Shukurillaevich +3 more
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Chaotic Eigenfunctions in Phase Space
Journal of Statistical Physics, 1998 61 pages, LaTeX, plus 20 eps figures, two of them in color.
Nonnenmacher, S., Voros, A.
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Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley +1 more source
Tables of Wangerin Eigenfunctions I [PDF]
Wangerin functions are the solutions of Wangerin differential equations, which have two forms, algebraic and Jacobian. The boundary conditions that the functions and their derivatives are bounded at the ends of interval give eigenvalues and ...
Aikawa, Kosaku, Saito, Haruo
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An Observation on Eigenfunctions of the Laplacian
La MatematicaIn his seminal 1943 paper F. Rellich proved that, in the complement of a cavity $Ω= \{x\in \mathbb R^n\mid |x|>R_0\}$, there exist no nontrivial solution $f$ of the Helmholtz equation $Δf = - λf$, when $λ>0$, such that $\int_Ω |f|^2 dx < \infty$.
Banerjee, Agnid, Garofalo, Nicola
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Eigenfunction expansions in ℝⁿ
Proceedings of the American Mathematical Society, 2011 The main goal of this paper is to extend in R n \mathbb {R}^n
T. Gramchev +2 more
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L∞$L^\infty$ compactness of solutions of quasilinear problems and applications
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract For a (not necessarily smooth) bounded domain Ω$\Omega$ of RN$\mathbb {R}^N$, N⩾2$N \geqslant 2$ and a Carathéodory vector‐valued function a:Ω×RN→RN$a:\Omega \times \mathbb {R}^N \rightarrow \mathbb {R}^N$, we study the compactness of the inverse of the Leray–Lions operator A(u)=−div(a(x,∇u))$A(u)=-\text{div}(a(x, \nabla u))$, u∈W01,p(Ω)$u\in ...
D. Arcoya +2 more
wiley +1 more source
A nonlocal boundary problem for the Laplace operator in a half disk
Electronic Journal of Differential Equations, 2014 In the present work we investigate the nonlocal boundary problem for the Laplace equation in a half disk. The difference of this problem is the impossibility of direct applying of the Fourier method (separation of variables). Because the corresponding
Gani A. Besbaev +2 more
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