Averill, Isabel,  1982- <br/><br/>
The role of advection in a two-species competition model :  a bifurcation approach / 
Isabel Averill, King-Yeung Lam, Yuan Lou. 
 - v, 106 pages :  illustrations ;  26 cm. 
 - Memoirs of the American Mathematical Society,  volume 245, number 1161  0065-9266 ; .
 - Memoirs of the American Mathematical Society ;  no. 1161. .
<br/><br/> "Volume 245, number 1161 (sixth of 6 numbers), January 2017." 
<br/><br/>Includes bibliographical references (pages 101-106). 
<br/><br/> Chapter 1. Introduction: The role of advection  Chapter 2. Summary of main results  Chapter 3. Preliminaries  Chapter 4. Coexistence and classification of $\mu $-$<br/>u $ plane  Chapter 5. Results in $\mathcal R_1$: Proof of Theorem 2.10  Chapter 6. Results in $\mathcal R_2$: Proof of Theorem 2.11  Chapter 7. Results in $\mathcal R_3$: Proof of Theorem 2.12  Chapter 8. Summary of asymptotic behaviors of $\eta _*$ and $\eta ^*$  Chapter 9. Structure of positive steady states via Lyapunov-Schmidt procedure  Chapter 10. Non-convex domains  Chapter 11. Global bifurcation results  Chapter 12. Discussion and future directions  Appendix A. Asymptotic behavior of $\tilde u$ and $\lambda _u$  Appendix B. Limit eigenvalue problems as $\mu ,<br/>u \to 0$  Appendix C. Limiting eigenvalue problem as $\mu \to \infty $ 
<br/><br/><label>ISBN: </label>9781470422028 1470422026 
<br/><br/><label>LCCN: </label>2016053216 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Scalar field theory.<br/>Bifurcation theory.<br/>Differential equations, Partial.
<br/><br/><label>Dewey Class. No.: </label>515/.63 
<br/><br/><label>Gov. Doc. Class. No.: </label>