Results 51 to 60 of about 233,661 (218)
Solving linear parabolic rough partial differential equations [PDF]
, 2018 We study linear rough partial differential equations in the setting of [Friz and Hairer, Springer, 2014, Chapter 12]. More precisely, we consider a linear parabolic partial differential equation driven by a deterministic rough path $\mathbf{W}$ of H ...
Bayer, Christian +4 more
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On the numerical solution of higher order nonlinear parabolic equations [PDF]
Computing, 1968 This paper deals with the numerical approximation of weak solutions of the first initial, boundary value problem for the higher order, nonlinear parabolic equation $$\sum\limits_{|\alpha | , |\beta | \leqq p} {D^\alpha (a_{\alpha \beta } (x,t)) \leqq D^\beta u - \partial u/
Allgower, E., Guenther, R.
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Nanotechnology Reviews, 2022 The mathematical modeling of hybrid nanofluid flow and heat transfer with entropy generation toward parabolic trough surface collector (PTSC) inside the solar-powered ship (SPS) is performed.
Shahzad Faisal +10 more
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Higher-order elliptic and parabolic equations with VMO assumptions and general boundary conditions [PDF]
, 2017 We prove mixed $L_{p}(L_{q})$-estimates, with $p,q\in(1,\infty)$, for higher-order elliptic and parabolic equations on the half space $\R^{d+1}_{+}$ with general boundary conditions which satisfy the Lopatinskii--Shapiro condition.
Hongjie Dong, C. Gallarati
semanticscholar +1 more source
Evolution operators for higher order abstract parabolic equations [PDF]
Czechoslovak Mathematical Journal, 1986 The author shows the existence of an evolution operator for a higher order abstract parabolic equation with variable coefficients. The techniques employed are similar to Tanabe's method [\textit{H. Tanabe}, Osaka Math. J. 12, 363-376 (1960; Zbl 0098.313)].
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Results in Physics, 2017 The present analysis is made to envision the characteristics of thermal and solutal stratification on magneto-hydrodynamic mixed convection boundary layer stagnation point flow of non-Newtonian fluid by way of an inclined cylindrical stretching surface ...
Khalil-Ur-Rehman +4 more
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Asymptotic expansions of the solutions of the Cauchy problem for nonlinear parabolic equations
, 2012 Let $u$ be a solution of the Cauchy problem for the nonlinear parabolic equation $$ \partial_t u=\Delta u+F(x,t,u,\nabla u) \quad in \quad{\bf R}^N\times(0,\infty), \quad u(x,0)=\varphi(x)\quad in \quad{\bf R}^N, $$ and assume that the solution $u ...
A. Carpio +33 more
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Thermoelasticity and generalized thermoelasticity viewed as wave hierarchies [PDF]
, 2008 It is seen how to write the standard\^E form of the four partial differential equations in four unknowns of anisotropic thermoelasticity as a single equation in one variable, in terms of isothermal and isentropic wave operators.
Scott, N.H
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Elliptic operators and maximal regularity on periodic little-H\"older spaces
, 2011 We consider one-dimensional inhomogeneous parabolic equations with higher-order elliptic differential operators subject to periodic boundary conditions.
LeCrone, Jeremy
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Mathematics, 2022 The paper studies a degenerate nonlinear parabolic equation containing a convective term and a source (reaction) term. It considers the construction of approximate solutions to this equation with a specified law of diffusion wave motion, the existence of
Alexander Kazakov, Lev Spevak
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