arXiv (All)
open access
A porous medium equation with dominating weighted absorption: three types of self-similar solutions
Self-similar solutions to the porous medium equation with dominating spatially inhomogeneous absorption $$ \partial_tu=Δu^m-|x|^σu^p, \quad (x,t)\in\real^N\times(0,\infty), \quad N\geq1, $$ with exponents $1 0$, are classified. Looking for solutions in the form $$ u(x,t)=t^{-α}f(|x|t^β),
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Polychromatic Localized Waves with Complex Frequencies in Nonlinear Maxwell Equations with Material Dispersion#998056
- Integral Harnack inequality and expansion of positivity for fractional porous medium equation#1012970
- Host-Guest Dynamics in Porous Organic Crystalline Materials#278025
- Diffusion/heterogeneous reaction in porous media#8145
- Large deviations for stochastic generalized porous media equations#492750
Record · ID 1034217
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive