Stationary fronts and pulses for multistable equations with saturating diffusion
DOI10.1007/s00030-023-00842-2OpenAlexW4319296700MaRDI QIDQ2699151
Maurizio Garrione, Elisa Sovrano
Publication date: 26 April 2023
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-023-00842-2
stationary solutionmean curvature operatorvanishing diffusion limitflux-saturated diffusionmultistable reaction
Reaction-diffusion equations (35K57) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Quasilinear parabolic equations (35K59) Quasilinear parabolic equations with mean curvature operator (35K93) Ordinary differential equations (34-XX)
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Cites Work
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- Heteroclinic solutions of the prescribed curvature equation with a double-well potential.
- Semi-wavefront solutions in models of collective movements with density-dependent diffusivity
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Multidimensional nonlinear diffusion arising in population genetics
- Discontinuous traveling wave entropy solutions of a modified Allen-Cahn model
- Travelling waves in nonlinear diffusion-convection reaction
- Existence, regularity and boundary behaviour of bounded variation solutions of a one-dimensional capillarity equation
- Saturated fronts in crowds dynamics
- Positive solutions of indefinite logistic growth models with flux-saturated diffusion
- Monotone traveling waves for reaction-diffusion equations involving the curvature operator
- Global components of positive bounded variation solutions of a one-dimensional indefinite quasilinear Neumann problem
- Classical and non-classical solutions of a prescribed curvature equation
- Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions
- Steady state solutions of a bi-stable quasi-linear equation with saturating flux
- Vanishing diffusion limits for planar fronts in bistable models with saturation
- Directed Graphs and Traveling Waves
- The Euler Equation for Functionals with Linear Growth
- Breakdown in Burgers-type equations with saturating dissipation fluxes
- Image Processing through Reaction Combined with Nonlinear Diffusion
- Effects of a saturating dissipation in Burgers-type equations
- Travelling Wavefronts in Reaction-Diffusion Equations with Convection Effects and Non-Regular Terms
- BV solutions of a singular diffusion equation
- Heteroclinic traveling fronts for reaction-convection-diffusion equations with a saturating diffusive term
- Reaction–diffusion fronts and the butterfly set
- On reaction processes with saturating diffusion
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