Results 1 to 10 of about 199 (130)
Mathematics, 2020 We consider a family of nonlinear singularly perturbed PDEs whose coefficients involve a logarithmic dependence in time with confluent Fuchsian singularities that unfold an irregular singularity at the origin and rely on a single perturbation parameter ...
Stephane Malek
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On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms [PDF]
Advances in Difference Equations, 2018 This paper is a continuation of the work (Lastra and Malek in J. Differ. Equ. 259(10):5220–5270, 2015) where singularly perturbed nonlinear PDEs have been studied from an asymptotic point of view.
Alberto Lastra, Stephane Malek
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Analytical-Numerical Solution for a Third Order Space-time Conformable Fractional PDE with Mixed Derivative by Spectral and Asymptotic Methods [PDF]
Sahand Communications in Mathematical Analysis, 2023 Initial-boundary value problems including space-time fractional PDEs have been used to model a wide range of problems in physics and engineering fields. In this paper, a non-self adjoint initial boundary value problem containing a third order fractional ...
Mohammad Jahanshahi, Reza Danaei
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On quantum and relativistic mechanical analogues in mean field spin models [PDF]
, 2014 Conceptual analogies among statistical mechanics and classical or quantum mechanics often appeared in the literature. For classical two-body mean field models, such an analogy is based on the identification between the free energy of Curie-Weiss type ...
Guerra, F. +10 more
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On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
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Summability in a monomial for some classes of singularly perturbed partial differential equations [PDF]
, 2021 Supported by the Austrian FWF-Project P 26735-N25 under P. I. Armin Rainer. Partially supported by the Ministerio de Economía y Competitividad from Spain, under the Project "Algebra y geometría en sistemas dinámicos y foliaciones singulares" (Ref ...
Carrillo Torres, Sergio Alejandro
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Multiscale Geometric Integration of Deterministic and Stochastic Systems [PDF]
, 2011 In order to accelerate computations and improve long time accuracy of numerical simulations, this thesis develops multiscale geometric integrators. For general multiscale stiff ODEs, SDEs, and PDEs, FLow AVeraging integratORs (FLAVORs) have been ...
Tao, Molei
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Accurate Solutions to Non-Linear PDEs Underlying a Propulsion of Catalytic Microswimmers
, 2022 Catalytic swimmers self-propel in electrolyte solutions thanks to an inhomogeneous ion release from their surface. Here, we consider the experimentally relevant limit of thin electrostatic diffuse layers, where the method of matched asymptotic expansions
Olga I. Vinogradova +2 more
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Applicationes MathematicaeHighly oscillatory differential equations present significant challenges in numerical treatments. The Modulated Fourier Expansion (MFE), used as an ansatz, is a commonly employed tool as a numerical approximation method. In this article, the Modulated Fourier Expansion is analytically derived for a linear partial differential equation with a ...
Rafal Perczynski, Antoni Augustynowicz
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Integrable viscous conservation laws
, 2015 We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that such normal forms
Moro, Antonio +2 more
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