Skip to content
DraconiticResearch
Search Sources API
201,642 studies31 sourcesUpdated 17 min ago
PreprintCC BY 4.0arXiv

Uniform bounds for a thermo-diffusive system beyond exponential growth

  • Weinan Wang
Open at sourcePDFDOICite

Abstract

In this paper, we prove a global-in-time uniform bound for solutions to a thermo-diffusive system in the whole space with bounded nonnegative initial data. The result allows exponential reaction rates and a range of superexponential rates determined by the diffusivities. This extends the recent results of La, Roquejoffre, and Ryzhik \cite{LRR24} and of Leontev and Ryzhik \cite{LR26} beyond their strictly subexponential range.

Related

  1. Uniform parameter bounds for weighted exponential equations on simply connected domains
    Hong-Ge Chen, Peng Luo, Shuangjie Peng +1
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  2. Uniform logarithmic Sobolev inequalities for the 2D Coulomb gas at the diffusive temperature scale
    Matthew Rosenzweig
    arXivPreprintarXiv licenceFull textAnalysis & PDEsMathematical physicsarXiv
  3. Local decisions, diffusive influence, and lower bounds for graphical balanced allocation
    Obinna Okechukwu
    arXivPreprintarXiv licenceFull textProbabilityarXiv
  4. Non-uniform exponential growth and the decay of growth rates in growing dimensions
    Roman Sauer, Eduard Schesler
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  5. On the diffusive-mean field limit of a kinetic weakly interacting particle system
    Raphaël Gastaldello, Grigorios A. Pavliotis, Gabriel Stoltz +1
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsProbabilityarXiv

Cite

BibTeXRIS
BibTeX
@misc{wang2026uniform,
  title = {{Uniform bounds for a thermo-diffusive system beyond exponential growth}},
  author = {Weinan Wang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.06741},
  eprint = {2609.06741},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.06741},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Uniform bounds for a thermo-diffusive system beyond exponential growth
AU  - Weinan Wang
PY  - 2026
DA  - 2026/09/06
PB  - arXiv
DO  - 10.48550/arxiv.2609.06741
UR  - https://arxiv.org/abs/2609.06741
AB  - In this paper, we prove a global-in-time uniform bound for solutions to a thermo-diffusive system in the whole space with bounded nonnegative initial data. The result allows exponential reaction rates and a range of superexponential rates determined by the diffusivities. This extends the recent results of La, Roquejoffre, and Ryzhik \cite{LRR24} and of Leontev and Ryzhik \cite{LR26} beyond their strictly subexponential range.
ER  -