Stability of Fluid Flow through a Channel with Flexible Walls

<div>Closed contour in the upper half-plane for evaluation of <span class="nowrap"><svg height="12.1488pt" id="M203" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -8.85773 16.9792 12.1488" width="16.9792pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M63 95C70 84 85 83 93 83C121 83 136 106 136 131C136 160 113 179 85 179C52 179 26 150 26 107C26 41 92 -15 199 -15C302 -15 399 18 484 106C535 159 576 245 617 333C684 348 739 389 774 457L758 467C722 411 681 381 633 368C679 468 726 563 779 603C807 603 888 604 888 655C888 667 875 675 859 675C848 675 818 671 783 648C758 651 718 656 665 656C605 656 537 649 482 616C434 585 396 536 396 471C396 392 448 345 520 330C511 311 502 292 493 271C400 61 306 16 181 16C110 16 61 68 61 95H63ZM729 601C648 547 595 474 536 362C465 370 437 423 437 462C437 518 477 560 522 580S625 604 676 604C696 604 714 604 729 603V601Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,11.661,3.132)"><path d="M504 89L488 119C453 85 428 69 416 69C408 69 405 75 412 102L462 304C492 438 460 451 436 451S388 441 356 423C311 397 229 336 170 256H168L189 340C208 418 200 451 177 451C144 451 82 413 24 352L40 322C65 345 98 369 108 369C114 369 119 363 112 335L28 -3L36 -12C54 -3 83 4 112 10C125 73 138 122 153 174C205 258 328 382 376 382C395 382 399 369 384 305L330 93C312 25 323 -12 351 -12C378 -12 439 21 504 89Z"></path></g></svg>.</span></div>

International Journal of Mathematics and Mathematical Sciences

Stability of Fluid Flow through a Channel with Flexible Walls

Figure 4