Results 71 to 80 of about 1,364,858 (220)

The limit of vanishing viscosity for doubly nonlinear parabolic equations

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We show that solutions of the doubly nonlinear parabolic equation \begin{equation*} \frac{\partial b(u)}{\partial t} - \epsilon \operatorname{div}(a(\nabla u)) + \operatorname{div}(f(u)) = g \end{equation*} converge in the limit $\epsilon ...
Ales Matas, Jochen Merker
doaj   +1 more source

Compact difference schemes for the multidimensional hyperbolic-parabolic equation

Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series, 2023
In this paper, we consider the stable compact difference schemes of 4 + 4 approximation order for the multidimensional hyperbolic-parabolic equation with constant coefficients. A priori estimates for the stability and convergence of the difference solution in strong mesh norms are obtained.
openaire   +2 more sources

Nathaniel Culverwell's stoic theory of common notions

The Southern Journal of Philosophy, EarlyView.
Abstract This article takes a closer look at the theory of knowledge developed by Nathaniel Culverwell in his 1652 Elegant and Learned Discourse of the Light of Nature. Based on Culverwell's endorsement of Edward Herbert of Cherbury against Plato and Aristotle, his critical reception of René Descartes, and his contributions to a controversy between ...
Mogens Lærke
wiley   +1 more source

Well-posedness of a mixed type problem for the multidimensional hyperbolic-parabolic equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
We consider the modeling multidimensional hyperbolic-parabolic equation in the cylindrical area of Euclidean space and formulate the mixed problem with non-homogeneous boundary conditions for it.
Serik Aimurzaevich Aldashev
doaj   +1 more source

Anatomical and functional mapping of vagal nociceptive sensory nerve subsets innervating the mouse lower airways by intersectional genetics

The Journal of Physiology, EarlyView.
Abstract figure legend We used an intersectional approach with recombinase‐expressing mice and adeno‐associated virus to map and modulate distinct nociceptive afferents in the vagal ganglia. TRPV1+P2X2+ neurons resided in the nodose ganglion (N), innervated the lungs (many projected into the alveoli) but not the trachea, and projected to the nucleus ...
Mayur J. Patil, Justin Shane Hooper, Seol‐Hee Kim, Parmvir K. Bahia, Nika Pavelkova, Sanjay S. Nair, Teresa S. Darcey, Karina V. Lurye, Meghana Madaram, Jailene Fiallo, Stephen H. Hadley, Thomas E. Taylor‐Clark   +11 more
wiley   +1 more source

A Simulation Study on Spatial Exponential Decay of Perturbations in a Two‐Dimensional Wave Equation With Optimal Boundary/Line Control

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley   +1 more source

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor, Nils Margenberg, Markus Bause   +2 more
wiley   +1 more source

The Boundary Value Problem for the Loaded Equation of Mixed Parabolic-Hyperbolic Type in Rectangular Area

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010
In work necessary and sufficient conditions of uniqueness of the decision of a regional problem for the loaded equation mixed parabolic hyperbolic type in rectangular area are established. The problem decision is constructed in the form of the number sum
A. V. Tarasenko
doaj   +3 more sources

Hyperbolic-parabolic singular perturbation for Kirchhoff equations with weak dissipation

, 2009
20 pages, 2 tables, 1 figure, conference paper (7th ISAAC congress, London 2009)
GHISI, MARINA, GOBBINO, MASSIMO
openaire   +4 more sources

Global well‐posedness and large‐time behavior for non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
wiley   +1 more source