On the viscous Burgers equation on metric graphs and fractals
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Publication:785245
DOI10.4171/JFG/87zbMath1445.35292arXiv1712.05472OpenAlexW3026115107MaRDI QIDQ785245
Publication date: 6 August 2020
Published in: Journal of Fractal Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.05472
Linear symmetric and selfadjoint operators (unbounded) (47B25) Fractals (28A80) Forms (bilinear, sesquilinear, multilinear) (47A07) Semilinear parabolic equations (35K58) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (10)
Gaps labeling theorem for the bubble-diamond self-similar graphs ⋮ Graph‐like spaces approximated by discrete graphs and applications ⋮ Perfect quantum state transfer on diamond fractal graphs ⋮ Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs ⋮ Spectral analysis on Barlow and Evans' projective limit fractals ⋮ Approximation of partial differential equations on compact resistance spaces ⋮ Hamiltonian systems, Toda lattices, solitons, Lax pairs on weighted Z-graded graphs ⋮ Burgers' equation revisited: extension of mono-dimensional case on a network ⋮ Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries ⋮ Spectra of perfect state transfer Hamiltonians on fractal-like graphs
Cites Work
- Unnamed Item
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- Magnetic fields on resistance spaces
- Semigroups, potential spaces and applications to (S)PDE
- Well-posedness of Lagrangian flows and continuity equations in metric measure spaces
- The construction of Brownian motion on the Sierpinski carpet
- First order approach and index theorems for discrete and metric graphs
- Spectral analysis on graph-like spaces
- Existence and uniqueness of solutions to nonlinear evolution equations with locally monotone operators
- Exact solutions of equations for the Burgers hierarchy
- Fredholm modules on P.C.F. self-similar fractals and their conformal geometry
- Blow up and regularity for fractal Burgers equation
- Dirichlet forms of fractals and products of random matrices
- Uniqueness of Brownian motion on Sierpiński carpets
- Approximation of jump processes on fractals
- Semigroups of linear operators and applications to partial differential equations
- Convergence towards Burger's equation and propagation of chaos for weakly asymmetric exclusion processes
- The weakly asymmetric simple exclusion process
- What is not in the domain of the Laplacian on Sierpinski gasket type fractals
- Statistical mechanics and fractals
- Dirichlet forms and symmetric Markov processes
- Derivations as square roots of Dirichlet forms
- Harmonic analysis for resistance forms.
- Taylor approximations on Sierpinski gasket type fractals
- Gradients on fractals
- Backward problems for stochastic differential equations on the Sierpinski gasket
- From non-symmetric particle systems to non-linear PDEs on fractals
- Derivations and Dirichlet forms on fractals
- On singularity of energy measures on self-similar sets
- Nonlinear elliptical equations on the Sierpiński gasket
- Approximation of fractals by discrete graphs: norm resolvent and spectral convergence
- Parabolic type equations associated with the Dirichlet form on the sierpinski gasket
- Metric and spectral triples for Dirichlet and resistance forms
- Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry
- Martingale dimensions for fractals
- Semigroup methods for evolution equations on networks
- Dirac and magnetic Schrödinger operators on fractals
- Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces
- On invariant measures of the 2D Euler equation
- Sch'nol's theorem for strongly local forms
- Kirchhoff's Rule for Quantum Wires. II: The Inverse Problem with Possible Applications to Quantum Computers
- Finite Energy Coordinates and Vector Analysis on Fractals
- Norm convergence of sectorial operators on varying Hilbert spaces
- Resistance forms, quasisymmetric maps and heat kernel estimates
- ON SINGULARITY OF ENERGY MEASURES ON SELF-SIMILAR SETS II
- Magnetic Energies and Feynman–Kac–Itô Formulas for Symmetric Markov Processes
- Convergence of resonances on thin branched quantum waveguides
- Harmonic Calculus on P.C.F. Self-Similar Sets
- A harmonic calculus on the Sierpinski spaces
- Kirchhoff's rule for quantum wires
- Splines on fractals
- Differential one-forms on Dirichlet spaces and Bakry-Émery estimates on metric graphs
- Index theorems for quantum graphs
- Quantum graphs: I. Some basic structures
- Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
- Local Dirichlet forms, Hodge theory, and the Navier-Stokes equations on topologically one-dimensional fractals
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
- Energy measures and indices of Dirichlet forms, with applications to derivatives on some fractals
- Introduction to Partial Differential Equations
- Nonlinear diffusion equations on unbounded fractal domains
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