Conservation laws with singular nonlocal sources
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Publication:2430941
DOI10.1016/j.jde.2010.12.001zbMath1228.35142OpenAlexW2061963258MaRDI QIDQ2430941
Mario Michele Coclite, Giuseppe Maria Coclite
Publication date: 8 April 2011
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2010.12.001
Hyperbolic conservation laws (35L65) Perturbations of nonlinear operators (47H14) Singular nonlinear integral equations (45G05) Integro-partial differential equations (35R09) Initial-boundary value problems for first-order hyperbolic equations (35L04)
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Well-posedness for a slow erosion model ⋮ Up-wind difference approximation and singularity formation for a slow erosion model ⋮ Nonlocal scalar conservation laws with discontinuous flux ⋮ A PDE model for the spatial dynamics of a voles population structured in age ⋮ A note on positive solutions for conservation laws with singular source ⋮ On a salt fingers model ⋮ Coupled systems of Hammerstein-type integral equations with sign-changing kernels ⋮ Singular limits with vanishing viscosity for nonlocal conservation laws
Cites Work
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- On the well-posedness of the Degasperis-Procesi equation
- Singular limit problem of the Camassa-Holm type equation
- Hyperbolic balance laws with a dissipative non local source
- Positive solutions of an integro-differential equation in all space with singular nonlinear term
- Positive solutions for an integro-differential equation with singular nonlinear term
- Stationary solutions for conservation laws with singular nonlocal sources
- Development of singularities in the motion of materials with fading memory
- Compact sets in the space \(L^ p(0,T;B)\)
- On the vacuum state for the isentropic gas dynamics equations
- The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Positive solutions of a Hammerstein integral equation with a singular nonlinear term
- Global well-posedness and relaxation limits of a model for radiating gas.
- On a class of parabolic integro-differential equations
- Positive solutions of a Hammerstein integral equation with a singular nonlinear term. II
- Wellposedness for a parabolic-elliptic system
- First order quasilinear equations with boundary conditions
- SYSTEMS OF HYPERBOLIC CONSERVATION LAWS WITH MEMORY
- Weak solutions for a nonlinear system in viscoelasticity
- A model for one-dimensional, nonlinear viscoelasticity
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Resurrection of "Second Order" Models of Traffic Flow
- Discontinuous solutions of non-linear differential equations
- Solutions for a nonlocal conservation law with fading memory
- Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation
- A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- NON-LINEAR EFFECTS ON THE PROPAGATION OF SOUND WAVES IN A RADIATING GAS
- Front tracking for hyperbolic conservation laws
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