多相转变问题中温度的连续性。
Continuity of the temperature in a multi-phase transition problem.
作者信息
Gianazza Ugo, Liao Naian
机构信息
Dipartimento di Matematica "F. Casorati", Università di Pavia, via Ferrata 5, 27100 Pavia, Italy.
Fachbereich Mathematik, Universität Salzburg, Hellbrunner Str. 34, 5020 Salzburg, Austria.
出版信息
Math Ann. 2022;384(1-2):1-35. doi: 10.1007/s00208-021-02255-x. Epub 2021 Sep 6.
Abstract
Locally bounded, local weak solutions to a doubly nonlinear parabolic equation, which models the multi-phase transition of a material, is shown to be locally continuous. Moreover, an explicit modulus of continuity is given. The effect of the -Laplacian type diffusion is also considered.
摘要
一个模拟材料多相转变的双重非线性抛物方程的局部有界局部弱解被证明是局部连续的。此外，还给出了一个明确的连续性模。同时也考虑了-Laplacian型扩散的影响。
相似文献
1
Continuity of the temperature in a multi-phase transition problem.多相转变问题中温度的连续性。
Math Ann. 2022;384(1-2):1-35. doi: 10.1007/s00208-021-02255-x. Epub 2021 Sep 6.
2
Harnack's inequality for doubly nonlinear equations of slow diffusion type.慢扩散型双重非线性方程的哈纳克不等式。
Calc Var Partial Differ Equ. 2021;60(6):215. doi: 10.1007/s00526-021-02044-z. Epub 2021 Aug 27.
3
Hölder regularity for parabolic fractional -Laplacian.抛物型分数阶拉普拉斯算子的赫尔德正则性
Calc Var Partial Differ Equ. 2024;63(1):22. doi: 10.1007/s00526-023-02627-y. Epub 2023 Dec 19.
4
Complete quenching phenomenon for a parabolic -Laplacian equation with a weighted absorption.具有加权吸收项的抛物型 - 拉普拉斯方程的完全淬灭现象
J Inequal Appl. 2018;2018(1):248. doi: 10.1186/s13660-018-1841-5. Epub 2018 Sep 20.
5
Higher integrability for doubly nonlinear parabolic systems.双重非线性抛物型系统的更高可积性。
SN Partial Differ Equ Appl. 2022;3(6):74. doi: 10.1007/s42985-022-00204-0. Epub 2022 Oct 18.
6
Existence and stability of the doubly nonlinear anisotropic parabolic equation.双重非线性各向异性抛物方程的存在性与稳定性
J Math Anal Appl. 2021 May 1;497(1):124850. doi: 10.1016/j.jmaa.2020.124850. Epub 2020 Dec 13.
7
Speed selection for traveling-wave solutions to the diffusion-reaction equation with cubic reaction term and Burgers nonlinear convection.具有三次反应项和伯格斯非线性对流的扩散反应方程行波解的速度选择
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Sep;90(3):033004. doi: 10.1103/PhysRevE.90.033004. Epub 2014 Sep 9.
8
Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations.退化抛物方程基于区域分解的时间积分器的收敛性分析
Numer Math (Heidelb). 2018;140(4):913-938. doi: 10.1007/s00211-018-0985-z. Epub 2018 Jul 7.
9
Infinitely many weak solutions of the p-Laplacian equation with nonlinear boundary conditions.具有非线性边界条件的p-拉普拉斯方程的无穷多个弱解。
ScientificWorldJournal. 2014 Jan 14;2014:194310. doi: 10.1155/2014/194310. eCollection 2014.
10
Global existence and blow-up results for -Laplacian parabolic problems under nonlinear boundary conditions.非线性边界条件下 -拉普拉斯抛物型问题的整体存在性与爆破结果
J Inequal Appl. 2018;2018(1):67. doi: 10.1186/s13660-018-1665-3. Epub 2018 Apr 3.
Zotero 插件