V. A. Tupchiev, “Asymptotic solution of the cauchy problem for the equation $\varepsilon^2tu_{xx}=u_t+[\varphi(u)]_{x}$, degenerating for $\varepsilon=0$ into the problem of an arbitrary shock disintegration for the rarefaction wave case”, Zh. Vychisl. Mat. Mat. Fiz., 1972, Volume 12, Number 3,Pages 770

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Scientific communications

Asymptotic solution of the cauchy problem for the equation $\varepsilon^2tu_{xx}=u_t+[\varphi(u)]_{x}$, degenerating for $\varepsilon=0$ into the problem of an arbitrary shock disintegration for the rarefaction wave case

V. A. Tupchiev

Moscow

UDC: 518:517.944/.947

MSC: Primary 35B40; Secondary 35B25, 35K15

Received: 23.03.1971
Revised: 26.10.1971