Transport through a network of capillaries from ultrametric diffusion equation with quadratic nonlinearity
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Publication:1702421
DOI10.1134/S1061920817040094zbMath1382.92112OpenAlexW2772448153MaRDI QIDQ1702421
Andrei Yu. Khrennikov, Klaudia Oleschko
Publication date: 28 February 2018
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1061920817040094
Physiological flows (76Z05) Physiological flow (92C35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (3)
Semi-linear Cauchy problem and Markov process associated with a \(p\)-adic non-local ultradiffusion operator ⋮ Reaction-diffusion equations on complex networks and Turing patterns, via \(p\)-adic analysis ⋮ Local well-posedness of the Cauchy problem for a \(p\)-adic Nagumo-type equation
Cites Work
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- Application of \(p\)-adic wavelets to model reaction-diffusion dynamics in random porous media
- Localization in space for a free particle in ultrametric quantum mechanics
- The Cauchy problems for evolutionary pseudo-differential equations over \(p\)-adic field and the wavelet theory
- Non-Haar \(p\)-adic wavelets and pseudodifferential operators
- Toward an ultrametric theory of turbulence
- Applications of \(p\)-adics to geophysics: linear and quasilinear diffusion of water-in-oil and oil-in-water emulsions
- Dynamics on rugged landscapes of energy and ultrametric diffusion
- \(p\)-adic elliptic quadratic forms, parabolic-type pseudodifferential equations with variable coefficients and Markov processes
- \(p\) -adic semilinear evolutionary pseudodifferential equations in Lizorkin spaces
- Parabolic equations and Markov processes over \(p\)-adic fields
- Wavelets on ultrametric spaces
- Fundamental solutions of pseudo-differential operators over \(p\)-adic fields
- \(p\)-adic pseudodifferential operators and \(p\)-adic wavelets
- p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
- CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
- Application ofp-adic analysis to models of breaking of replica symmetry
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Wavelet theory as $ p$-adic spectral analysis
- Pseudodifferential operators on ultrametric spaces and ultrametric wavelets
- APPLICATION OF p-ADIC ANALYSIS TO TIME SERIES
- Nonlocal operators, parabolic-type equations, and ultrametric random walks
- Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift
- Ultrametric Analysis and Interbasin Kinetics
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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