Revisiting diffusion: Self-similar solutions and the 𝑡^{-1/2} decay in initial and initial-boundary value problems

DOI10.1090/qam/1473zbMath1370.35154arXiv1702.00861OpenAlexW2605493821MaRDI QIDQ5348444

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Publication date: 16 August 2017

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.00861

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Scaling and adiabaticity in a rapidly expanding gluon plasma

Cites Work

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• The nonlinear Schrödinger equation. Singular solutions and optical collapse
• Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on \(\mathbb R^2\)
• Application of the similarity method to the nonlinear Boltzmann equation
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• A Unified Approach to Boundary Value Problems
• Generalized Helmholtz–Kirchhoff Model for Two-Dimensional Distributed Vortex Motion
• A quasi-Newton approach to identification of a parabolic system
• A unified transform method for solving linear and certain nonlinear PDEs
• Applications of the general similarity solution of the heat equation to boundary-value problems
• Focusing revisited: a renormalization/bifurcation approach
• Reduction and reconstruction for self-similar dynamical systems
• Lie theory and separation of variables. 5. The equations iUt + Uxx = 0 and iUt + Uxx −c/x2 U = 0
• Stochastic Problems in Physics and Astronomy

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