Fengbai Li, Weike Wang, Yutong Wang
Abstract:
This article concerns the Cauchy problem of conservation laws with nonlocal
dissipation-type terms in R3. By using Green's function and the
time-frequency decomposition method, we study global classical solutions
and their long time behavior including pointwise estimates for large initial data,
for solutions near the nontrivial equilibrium state.
Submitted February 12, 2020. Published December 22, 2020.
Math Subject Classifications: 35A01, 35A22, 35A25.
Key Words: Conservation law; dissipation; Cauchy problem; equilibrium state;
Green's function; time-frequency decomposition method; pointwise estimate.
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| Fengbai Li School of Mathematics Shanghai University of Finance and Economics 777 Guo Ding Road, Shanghai 200433, China email: li.fengbai@mail.shufe.edu.cn |
| Weike Wang School of Mathematical Sciences and Institute of Natural Sciences Shanghai Jiao Tong University 800 Dong Chuan Road Shanghai 200240, China email: wkwang@sjtu.edu.cn |
| Yutong Wang School of Mathematical Sciences Shanghai Jiao Tong University 800 Dong Chuan Road Shanghai 200240, China email: wyt0521@sjtu.edu.cn |
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