Zobrazeno 1 - 10
of 2 154
pro vyhledávání: '"priori estimate"'
Publikováno v:
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, Iss 2 (2024)
Background. In the literature, loaded differential equations are usually called equations containing functions of the solution on manifolds of smaller dimension than the dimension of the domain of definition of the sought function. The purpose of the
Externí odkaz:
https://doaj.org/article/df7aaaabf2a4435baa3aae2bea2e49de
Autor:
Winkler Michael
Publikováno v:
Advanced Nonlinear Studies, Vol 24, Iss 3, Pp 592-615 (2024)
In a smoothly bounded convex domain Ω⊂Rn ${\Omega}\subset {\mathbb{R}}^{n}$ with n ≥ 1, a no-flux initial-boundary value problem forut=Δuϕ(v),vt=Δv−uv, $$\begin{cases}_{t}={\Delta}\left(u\phi \left(v\right)\right),\quad \hfill \\ {v}_{t}={
Externí odkaz:
https://doaj.org/article/1a44a57dd3a940e58ce8c369c4fba5b0
Autor:
S. Baizaev, R. N. Barotov
Publikováno v:
Учёные записки Казанского университета. Серия Физико-математические науки, Vol 166, Iss 1, Pp 22-35 (2024)
This article explores an elliptic system of n equations where the main part is the Bitsadze operator (the square of the Cauchy–Riemann operator) and the lower term is the product of a given matrix function by the conjugate of the desired vector fun
Externí odkaz:
https://doaj.org/article/5cda373020594f85b992a0bb2e5dddb1
Autor:
V. K. Andreev, I. V. Stepanova
Publikováno v:
Учёные записки Казанского университета. Серия Физико-математические науки, Vol 166, Iss 1, Pp 5-21 (2024)
This article considers an initial-boundary value problem for a system of parabolic equations, which arises when studying the flow of a binary mixture in a horizontal channel with walls heated non-uniformly. The problem was reduced to a sequence of in
Externí odkaz:
https://doaj.org/article/43efb37e934b43d6a50b2613422364f2
Autor:
Victor Orlov
Publikováno v:
Mathematics, Vol 12, Iss 22, p 3629 (2024)
The paper studies a nonlinear equation including both fractional and ordinary derivatives. The singular Cauchy problem is considered. The theorem of the existence of uniqueness of a solution in the neighborhood of a fixed singular point of algebraic
Externí odkaz:
https://doaj.org/article/e90f1087d12543d08bb76bb33c78a858
Publikováno v:
Open Mathematics, Vol 21, Iss 1, Pp 422-443 (2023)
We have established the existence and uniqueness of the local solution for (0.1)∂tu+∂x5u−u∂xu=0,00,u(x,0)=φ(x),00,\left\{\begin{array}{ll}{\partial }_{t}u+{\partial }_{x}^{5}u-u{\partial }_{x}u=0,& 0\lt x\lt 1,\hspace{1.0em}t\gt 0,\\ u\left(
Externí odkaz:
https://doaj.org/article/5f2e2f97a47c4bb895006ad4b711d148
Autor:
Zhilin Yang
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 12, Pp 20959-20970 (2023)
This paper deals with the existence and multiplicity of convex radial solutions for the Monge-Amp$ \grave{\text e} $re equation involving the gradient $ \nabla u $: $ \begin{cases} \det (D^2u) = f(|x|, -u, |\nabla u|), x\in B, \\ u|_{\partial B} =
Externí odkaz:
https://doaj.org/article/15fd36fbc86640d58faca88571c327a5
Autor:
Aicha, Sakhri, Merad, Ahcene
Publikováno v:
Arab Journal of Mathematical Sciences, 2021, Vol. 29, Issue 2, pp. 172-190.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/AJMS-05-2021-0109