Expansion properties of Whitehead moves on cubic graphs by Grave de Peralta, Laura, Kolpakov, Alexander

“…Here, we prove that the outer-conductance of the graph of graphs tends to zero as the number of vertices tends to infinity. This answers a question of K. Rafi in the negative.…”
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On a non-self adjoint expansion formula by D. Naylor

“…This paper develops a formula of inversion for an integral transform of the kind similar to that associated with the names of Kontorovich and Lebedev except that the kernel involves the Neumann function Yu(kr) and the variable r varies over the infinite interval a≤r<∞ where a>0 The transform is useful in the investigation of functions that satisfy the Helmholtz equation and a condition of radiation at infinity. The formula established is expressed entirely in terms of series expansions and replaces earlier inversion formulas that require the evaluation of contour integrals.…”
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« L’œil du hibou ». Le Flaubert au pluriel de Calvino by Susi Pietri

“…“Several Flaubert(s) in the plural” are thus inscribed throughout Calvino’s theoretical texts over time: nihilist Flaubert; supreme Model of work on form; Master of doubt and skepticism; critic of culture and of the plurality of languages; forerunner of the avant-gardes; paradigm of narrative visibility; invisible “God” of infinity at the heart of the infinitesimal; exemplary witness of the dissolution of knowledge; testamentary executor of the romance of convention; literary ancestor of “knowledge-as-multiplicity”; seeker of the absolute through the encounter with otherness.…”
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Global Existence and Uniform Energy Decay Rates for the Semilinear Parabolic Equation with a Memory Term and Mixed Boundary Condition by Zhong Bo Fang, Liru Qiu

“…Under suitable conditions, we prove the existence and uniqueness of global solutions and the energy functional decaying exponentially or polynomially to zero as the time goes to infinity by introducing brief Lyapunov function and precise priori estimates.…”
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Spectral Analysis for a Wave/Plate Transmission System by Chengqiang Wang

“…Our result reads as follows: the spectrum of the infinitesimal generator of the semigroup associated with the system in question consists merely of an infinite sequence of eigenvalues which are all located in the open left half of the complex plane; the sequence of eigenvalues has the imaginary axis and another vertical line to the left of the imaginary axis as its asymptote lines; the energy of the system under consideration decreases to zero as time goes to infinity.…”
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On the structure of ionizing shock waves in magnetofluiddynamics by A. Aghajani, M. Hesaaraki

“…In this paper, we show that for the above electrical conductivity as well as for limiting cases, that is, when this coefficient is zero ahead of the shock and/or is infinity behind it, ionizing fast, slow, switch-on and switch-off shocks admit structure. …”
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Multiplicity of Solutions for a Class of Fourth-Order Elliptic Problems with Asymptotically Linear Term by Qiong Liu, Dengfeng Lü

“…We study the following fourth-order elliptic equations: Δ2𝑢+𝑎Δ𝑢=𝑓(𝑥,𝑢),𝑥∈Ω,𝑢=Δ𝑢=0,𝑥∈𝜕Ω, where Ω⊂ℝ𝑁 is a bounded domain with smooth boundary 𝜕Ω and 𝑓(𝑥,𝑢) is asymptotically linear with respect to 𝑢 at infinity. Using an equivalent version of Cerami's condition and the symmetric mountain pass lemma, we obtain the existence of multiple solutions for the equations.…”
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Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation by A. I. Aristov

“…In many cases, energy estimates can be used to prove that the solution tends to infinity in finite time, while also providing an estimate for the latter. …”
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Eigenvalue problems for a quasilinear elliptic equation on ℝN by Marilena N. Poulou, Nikolaos M. Stavrakakis

“…We prove the existence of a simple, isolated, positive principal eigenvalue for the quasilinear elliptic equation −Δpu=λg(x)|u|p−2u, x∈ℝN, lim|x|→+∞u(x)=0, where Δpu=div(|∇u|p−2∇u) is the p-Laplacian operator and the weight function g(x), being bounded, changes sign and is negative and away from zero at infinity.…”
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Rotating Dilaton Black Strings Coupled to Exponential Nonlinear Electrodynamics by Ahmad Sheykhi

“…When the nonlinear parameter β2 goes to infinity, our results reduce to those of black string solutions in Einstein-Maxwell-dilaton gravity.…”
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Long-Time Decay to the Global Solution of the 2D Dissipative Quasigeostrophic Equation by Jamel Benameur, Mongi Blel

“…We study the behavior at infinity in time of any global solution θ∈C(R+,Ḣ2-2α(R2)) of the surface quasigeostrophic equation with subcritical exponent 2/3≤α≤1. …”
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Mathematical Modeling of Eigenvibrations of the Shallow Shell with an Attached Oscillator by D. M. Korosteleva, S. I. Solov’ev

“…It was established that there exist a sequence of positive eigenvalues of finite multiplicity with a limit point at infinity and the corresponding complete orthonormal system of eigenvectors. …”
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Человеческая жизнь на фоне временного пространства. Романы М.А. Осоргина „Свидетель истории” и „Книга о концах”... by Antoni Murawski

“…Osorgin explains that people should build their own happiness instead of sacrifying their lives for abstract goals, which means nothing in the face of the universe and infinity. These ideas are connected with cosmological ideology of Osorgin.…”
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Gravitational corner conditions in holography by Gary T. Horowitz, Diandian Wang

“…Abstract Contrary to popular belief, asymptotically anti-de Sitter solutions of gravitational theories cannot be obtained by taking initial data (satisfying the constraints) on a spacelike surface, and choosing an arbitrary conformal metric on the timelike boundary at infinity. There are an infinite number of corner conditions that also must be satisfied where the initial data surface hits the boundary. …”
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Granular media equation with double-well external landscape: limiting steady state by Tugaut, Julian

“…In this paper, we give a simple condition on the initial state of the granular media equation which ensures that the limit as the time goes to infinity is the unique steady state with positive center of mass. …”
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Center problem for quartic differential systems with an affine invariant straight line of maximal multiplicity by Olga Vacaraș

“…In this paper the quartic differential systems with a center-focus critical point and non-degenerate infinity are examined. We show that in this family the maximal multiplicity of an affine invariant straight line is six. …”
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Asymptotic behaviour of solutions for porous medium equation with periodic absorption by Yin Jingxue, Wang Yifu

“…In contrast to the equation without sources, we show that the solutions may not decay but may be attracted into any small neighborhood of the set of all nontrivial periodic solutions, as time tends to infinity. As a direct consequence, the null periodic solution is unstable. …”
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Existence of Homoclinic Orbits for a Class of Asymptotically p-Linear Difference Systems with p-Laplacian by Qiongfen Zhang, X. H. Tang

“…By applying a variant version of Mountain Pass Theorem in critical point theory, we prove the existence of homoclinic solutions for the following asymptotically p-linear difference system with p-Laplacian Δ(|Δu(n-1)|p-2Δu(n-1))+∇[-K(n,u(n))+W(n,u(n))]=0, where p∈(1,+∞), n∈ℤ, u∈ℝN, K,W:ℤ×ℝN→ℝ are not periodic in n, and W is asymptotically p-linear at infinity.…”
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Large Time Behavior of the Vlasov-Poisson-Boltzmann System by Li Li, Shuilin Jin, Li Yang

“…To be precise, we prove that when time goes to infinity, the solution of VPB system tends to global Maxwellian state in a rate Ot−∞, by using a method developed for Boltzmann equation without force in the work of Desvillettes and Villani (2005). …”
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Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases by Dorothee D. Haroske, Leszek Skrzypczak

“…This extends our previous results [25] to more general weights of logarithmically disturbed polynomial growth, both near some singular point and at infinity. We obtain sharp asymptotic estimates for the entropy numbers of this embedding. …”
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