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DISPERSION AND ASYMPTOTIC PROFILES FOR KIRCHHOFF EQUATIONS [PDF]
Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics, 2007 The aim of this article is to describe asymptotic profiles for the Kirchhoff equation, and to establish time decay properties and dispersive estimates for Kirchhoff equations. For this purpose, the method of asymptotic integration is developed for the corresponding linear equations and representation formulae for their solutions are obtained.
Michael Ruzhansky
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Dynamics and asymptotic profiles of a local-nonlocal dispersal SIR epidemic model with spatial heterogeneity [PDF]
Infectious Disease ModellingThis research investigates a novel approach to modeling an SIR epidemic in a heterogeneous environment by imposing certain restrictions on population mobility.
Salih Djilali +2 more
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Mathematics, 2019 In this paper, we consider the initial value problem for the linearized compressible Navier–Stokes–Korteweg system. Asymptotic profiles and convergence rates are established by Fourier splitting frequency technique.
Yinxia Wang
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Asymptotic Profiles of Solutions for Structural Damped Wave Equations [PDF]
Journal of Dynamics and Differential Equations, 2019 In this paper, we obtain several asymptotic profiles of solutions to the Cauchy problem for structurally damped wave equations $\partial_{t}^{2} u - Δu + ν(-Δ)^σ \partial_{t} u=0$, where $ν>0$ and $0< σ\le1$. Our result is the approximation formula of the solution by a constant multiple of a special function as $t \to \infty$, which states that ...
Ryo Ikehata +2 more
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Natural Convection Induced by Diurnal Heating and Cooling over a Fully Vegetated Slope
Journal of Marine Science and Engineering, 2022 In this study, by assuming a small bottom slope, asymptotic solutions were developed to discuss natural convection within rooted emergent vegetation in response to different heating and cooling mechanisms. Based upon the maximum water depth in comparison
Xiaosheng Ji +3 more
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Asymptotic profiles of solutions to convection–diffusion equations [PDF]
Comptes Rendus. Mathématique, 2004 The large time behavior of zero-mass solutions to the Cauchy problem for the convection–diffusion equation u t -
Benachour, Said +2 more
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A better asymptotic profile of Rosenau–Burgers equation [PDF]
Applied Mathematics and Computation, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liping Liu, Ming Mei
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Sharp Blow-Up Profiles of Positive Solutions for a Class of Semilinear Elliptic Problems
Advanced Nonlinear Studies, 2021 This paper analyzes the behavior of the positive solution θε{\theta_{\varepsilon}} of the perturbed ...
Li Wan-Tong +2 more
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Spiraling Asymptotic Profiles of Competition‐Diffusion Systems [PDF]
Communications on Pure and Applied Mathematics, 2019 AbstractThis paper describes the structure of the nodal set of segregation profiles arising in the singular limit of planar, stationary, reaction‐diffusion systems with strongly competitive interactions of Lotka‐Volterra type, when the matrix of the interspecific competition coefficients is asymmetric and the competition parameter tends to infinity ...
Terracini, Susanna +2 more
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Analysis of Solutions, Asymptotic and Exact Profiles to an Eyring–Powell Fluid Modell
Mathematics, 2022 The aim of this article was to provide analytical and numerical approaches to a one-dimensional Eyring–Powell flow. First of all, the regularity, existence, and uniqueness of the solutions were explored making use of a variational weak formulation. Then,
José Luis Díaz +5 more
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