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Displaying 181 – 200 of 237

Asymptotic behaviour of strongly damped nonlinear hyperbolic equations

Piotr Biler (1989)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Asymptotic Behaviour of the density for one-dimensional navier-stokes equations.

Alberto Valli, Ivan Straskraba (1988)

Manuscripta mathematica

Asymptotic behaviour of the porous media equation in an exterior domain

Fernando Quirós, Juan Luis Vazquez (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Asymptotic behaviour of the scattering phase for non-trapping obstacles

Veselin Petkov, Georgi Popov (1982)

Annales de l'institut Fourier

Let $S (λ)$ be the scattering matrix related to the wave equation in the exterior of a non-trapping obstacle $𝒪 \subset R^{n}$ , $n \geq 3$ with Dirichlet or Neumann boundary conditions on $\partial 𝒪$ . The function $s (λ)$ , called scattering phase, is determined from the equality $e^{- 2 π i s (λ)} = \det S (λ)$ . We show that $s (λ)$ has an asymptotic expansion $s (λ) \sim \sum_{j = 0}^{\infty} c_{j} λ^{n - j}$ as $λ \to + \infty$ and we compute the first three coefficients. Our result proves the conjecture of Majda and Ralston for non-trapping obstacles.

Asymptotic behaviour of the solution for the singular Lane-Emden-Fowler equation with nonlinear convection terms.

Zhang, Zhijun (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotic Behaviour of the Solution of a Semilinear Parabolic Equation.

Laurent Veron, Abdelilah Gmira (1982)

Monatshefte für Mathematik

Asymptotic boundary value problems for evolution inclusions.

Fürst, Tomáš (2006)

Boundary Value Problems [electronic only]

Asymptotic dynamics in double-diffusive convection

Mikołaj Piniewski (2008)

Applicationes Mathematicae

We consider the double-diffusive convection phenomenon and analyze the governing equations. A system of partial differential equations describing the convective flow arising when a layer of fluid with a dissolved solute is heated from below is considered. The problem is placed in a functional analytic setting in order to prove a theorem on existence, uniqueness and continuous dependence on initial data of weak solutions in the class $([0, \infty); H) \cap L ²_{l o c} (ℝ^{+}; V)$ . This theorem enables us to show that the infinite-dimensional...

Asymptotic Energy Propagation and Scattering of Waves in Waveguides with Cylinders.

William C. Lydord (1976)

Mathematische Annalen

Asymptotic estimates for PDE with $p$ -Laplacian and damping.

Mařík, Robert (2005)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two-dimensional spaces.

Hayashi, Nakao, Naumkin, Pavel I. (2002)

International Journal of Mathematics and Mathematical Sciences

Asymptotic formula for solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients near the boundary

Vladimir Kozlov, Vladimir Maz'ya (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We derive an asymptotic formula of a new type for variational solutions of the Dirichlet problem for elliptic equations of arbitrary order. The only a priori assumption on the coefficients of the principal part of the equation is the smallness of the local oscillation near the point.

Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points.

Nguyen Thanh Anh, Nguyen Manh Hung (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotic integration of differential equations with singular $p$ -Laplacian

Milan Medveď, Eva Pekárková (2016)

Archivum Mathematicum

In this paper we deal with the problem of asymptotic integration of nonlinear differential equations with $p -$ Laplacian, where $1 < p < 2$ . We prove sufficient conditions under which all solutions of an equation from this class are converging to a linear function as $t \to \infty$ .

Asymptotic observables and Coulomb scattering for the Dirac equation

Bernd Thaller, Volker Enss (1986)

Annales de l'I.H.P. Physique théorique

Asymptotic profile of a radially symmetric solution with transition layers for an unbalanced bistable equation.

Matsuzawa, Hiroshi (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotic profile of solutions for the critical Sobolev type equation on a half-line.

Goldstein, R.A., Silva, M.K., Crans, A.G. (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Asymptotic properties of a semilinear heat equation with strong absorption and small diffusion.

M.A. Herrero, J.J.L. Velázquez (1990)

Mathematische Annalen

Asymptotic properties of ground states of scalar field equations with a vanishing parameter

Vitaly Moroz, Cyrill B. Muratov (2014)

Journal of the European Mathematical Society

We study the leading order behaviour of positive solutions of the equation $- Δ u + ϵ u - {| u |}^{p - 2} u + {| u |}^{q - 2} u = 0, x \in ℝ^{N}$ , where $N \geq 3$ , $q > p > 2$ and when $ϵ > 0$ is a small parameter. We give a complete characterization of all possible asymptotic regimes as a function of $p$ , $q$ and $N$ . The behavior of solutions depends sensitively on whether $p$ is less, equal or bigger than the critical Sobolev exponent $2^{*} = \frac{2 N}{N - 2}$ . For $p < 2^{*}$ the solution asymptotically coincides with the solution of the equation in which the last term is absent. For $p > 2^{*}$ the solution asymptotically coincides...

Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral

D. Gilbarg, H. F. Weinberger (1978)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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