Non-uniqueness of solution of tticomis problem for degenerating multidimensional mixed hyperbolic-parabolic equations
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
Let D- final area of Euclidean space Em+1 of the points (x1, ..., xm, t) , limited in half-space t > 0 by cones K0 : |x| = 2 2+p t 2+p 2 , K1 : |x| = 1 ? 2 2+p t 2+p 2 , 0 ? t ? ( 2+p 4 ) 2 2+p and at t < 0 - cylindrical surface ? = {(x, t) : |x| = 1} and a plane t = t0 < 0 , where |x| - vector-length and p = const > 0. Let’s designate through D+, D? the parts of domain D lying respectively in half-paces t > 0 and t < 0. And parts of the cones K0, K1 limiting areas D+, well denote through S0 and S1, accordingly. Let ? = {(x, t) : t = 0, |x| = 1} . Consider following mixed modeling hyperbolic- parabolic equation in area. Let D- final area of Euclidean space Em+1 of the points (x1, ..., xm, t) , limited in half-space t > 0 by cones K0 : |x| = 2 2+p t 2+p 2 , K1 : |x| = 1 ? 2 2+p t 2+p 2 , 0 ? t ? ( 2+p 4 ) 2 2+p and at t < 0 - cylindrical surface ? = {(x, t) : |x| = 1} and a plane t = t0 < 0 , where |x| - vector-length and p = const > 0. Let’s designate through D+, D? the parts of domain D lying respectively in half-paces t > 0 and t < 0. And parts of the cones K0, K1 limiting areas D+, well denote through S0 and S1, accordingly. Let ? = {(x, t) : t = 0, |x| = 1} . Consider following mixed modeling hyperbolic- parabolic equation in area : Let D- final area of Euclidean space Em+1 of the points (x1, ..., xm, t) , limited in half-space t > 0 by cones K0 : |x| = 2 2+p t 2+p 2 , K1 : |x| = 1 ? 2 2+p t 2+p 2 , 0 ? t ? ( 2+p 4 ) 2 2+p and at t < 0 - cylindrical surface ? = {(x, t) : |x| = 1} and a plane t = t0 < 0 , where |x| - vector-length and p = const > 0. Let’s designate through D+, D? the parts of domain D lying respectively in half-paces t > 0 and t < 0. And parts of the cones K0, K1 limiting areas D+, well denote through S0 and S1, accordingly. Let ? = {(x, t) : t = 0, |x| = 1} . Consider following mixed modeling hyperbolic- parabolic equation in area : Let D- final area of Euclidean space Em+1 of the points (x1, ..., xm, t) , limited in half-space t > 0 by cones K0 : |x| = 2 2+p t 2+p 2 , K1 : |x| = 1 ? 2 2+p t 2+p 2 , 0 ? t ? ( 2+p 4 ) 2 2+p and at t < 0 - cylindrical surface ? = {(x, t) : |x| = 1} and a plane t = t0 < 0 , where |x| - vector-length and p = const > 0. Let’s designate through D+, D? the parts of domain D lying respectively in half-paces t > 0 and t < 0. And parts of the cones K0, K1 limiting areas D+, well denote through S0 and S1, accordingly. Let ? = {(x, t) : t = 0, |x| = 1} . Consider following mixed modeling hyperbolic- parabolic equation in area : Let D- final area of Euclidean space Em+1 of the points (x1, ..., xm, t) , limited in half-space t > 0 by cones K0 : |x| = 2 2+p t 2+p 2 , K1 : |x| = 1 ? 2 2+p t 2+p 2 , 0 ? t ? ( 2+p 4 ) 2 2+p and at t < 0 - cylindrical surface ? = {(x, t) : |x| = 1} and a plane t = t0 < 0 , where |x| - vector-length and p = const > 0. Let’s designate through D+, D? the parts of domain D lying respectively in half-paces t > 0 and t < 0. And parts of the cones K0, K1 limiting areas D+, well denote through S0 and S1, accordingly. Let ? = {(x, t) : t = 0, |x| = 1} . Consider following mixed modeling hyperbolic- parabolic equation in area.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Orshubekov, N. (2009). Non-uniqueness of solution of tticomis problem for degenerating multidimensional mixed hyperbolic-parabolic equations. Maltepe Üniversitesi. s. 295.
