Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916242067030016 |
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| author | Jaiswal, Ram Gopal Giri, Ankik Kumar |
| author_facet | Jaiswal, Ram Gopal Giri, Ankik Kumar |
| contents | Existence of mass-conserving self-similar solutions to collision-induced breakage equation is shown for a specific class of homogeneous collision kernels and breakage functions. The proof mainly relies on a dynamical approach and compactness method to constructing mass-conserving stationary solutions for an evolution problem, which induces mass-conserving self-similar solutions to collision-induced breakage equation. Furthermore, we also determine lower and upper bound of the scaling profile. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06757 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations Jaiswal, Ram Gopal Giri, Ankik Kumar Analysis of PDEs 35B40, 35C06, 35D30, 37C25, 45K05 Existence of mass-conserving self-similar solutions to collision-induced breakage equation is shown for a specific class of homogeneous collision kernels and breakage functions. The proof mainly relies on a dynamical approach and compactness method to constructing mass-conserving stationary solutions for an evolution problem, which induces mass-conserving self-similar solutions to collision-induced breakage equation. Furthermore, we also determine lower and upper bound of the scaling profile. |
| title | Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations |
| topic | Analysis of PDEs 35B40, 35C06, 35D30, 37C25, 45K05 |
| url | https://arxiv.org/abs/2405.06757 |