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灰犀牛彩票是不是真的_Global solutions to the Burgers-Hilbert equation

缂栬緫锛氱帇鍑や华 鏉ユ簮锛氭暟瀛︾瀛﹀闄 鏃堕棿锛2019骞11鏈29鏃 璁块棶娆℃暟:0  婧愬湴鍧

棰樼洰: 灰犀牛彩票是不是真的_Global solutions to the Burgers-Hilbert equation

鎶ュ憡浜猴細Alberto Bressan锛堢編鍥藉宸炲窞绔嬪ぇ瀛︼級

鏃堕棿鍦扮偣锛12鏈16鏃ヤ笅鍗堜綔2:30-3:30锛屽伐鍟嗘ゼ200-9

鎽樿:  In 2009 J.Biello and J.Hunter derived a balance law modeling nonlinear waves

with constant frequency,  obtained from  Burgers' equation by adding the Hilbert transform as a source term.  Recent work has established the global existence of solutions in the space  L^2(R), and a partial result on uniqueness. This talk will also describe the construction of piecewise smooth solutions, locally in time, providing a detailed analysis of the solution profile in a neighborhood of each shock. Various related open problems will be discussed.

鎶ュ憡浜虹畝浠嬶細
Alberto Bressan锛岀編鍥藉宸炲窞绔嬪ぇ瀛berly Family璁插腑鏁欐巿锛屼富瑕佷粠浜嬪弻鏇插畧鎭掑緥锛屼氦閫氭祦妯″瀷锛屾媺鏍兼湕鏃ョ郴缁熺殑鑴夊啿鎺у埗锛岄潪鍚堜綔寰垎绛栫暐绛夐棶棰樼殑鐮旂┒銆灰犀牛彩票是不是真的2002骞村浗闄呮暟瀛﹀澶т細涓灏忔椂閭璇锋姤鍛婁汉锛岀編鍥芥暟瀛︿細浼氬+锛屾浘鑾峰緱G. Fichera prize锛孡. Amerio prize锛孊么cher Memorial Prize锛孉. Feltrinelli prize锛孉nalysis of Partial Differential Equations Prize of the SIAM绛夊椤硅崳瑾夈傛媴浠诲崄鍑犱釜鍥介檯閲嶈鏈熷垔鐨勭紪濮旓紝鍖呮嫭Arch. Rational Mech. Anal., J. Differential Equations., SIAM J. Math. Anal., Discrete Contin. Dyn. Syst. 绛夈傚娆″湪鍥介檯浼氳涓婂仛閭璇锋姤鍛婏紝鍙戣〃瓒呰繃200绡囧鏈鏂囷紝骞跺嚭鐗堝鏈笓钁椼

鑱旂郴浜猴細瀛斿痉鍏磋佸笀锛坉kong@zju.edu.cn锛


鎬昏闂噺锛10743231