# Local Solvability of Initial-Boundary Value Problem for One-Dimensional Equations of Polytropic Flows of Viscous Compressible Multifluids

## Abstract

We consider the initial-boundary value problem governing unsteady polytropic motions of viscous compressible multifluids. We prove the existence and uniqueness of a strong solution to the problem. Bibliography: 11 titles.

- Authors:

- Lavrent’ev Institute of Hydrodynamics SB RAS (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771207

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 231; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; BOUNDARY-VALUE PROBLEMS; COMPRESSIBLE FLOW; FLUIDS; MATHEMATICAL SOLUTIONS; ONE-DIMENSIONAL CALCULATIONS; VISCOUS FLOW

### Citation Formats

```
Mamontov, A. E., E-mail: aemamont@hydro.nsc.ru, and Prokudin, D. A., E-mail: prokudin@hydro.nsc.ru.
```*Local Solvability of Initial-Boundary Value Problem for One-Dimensional Equations of Polytropic Flows of Viscous Compressible Multifluids*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3818-9.

```
Mamontov, A. E., E-mail: aemamont@hydro.nsc.ru, & Prokudin, D. A., E-mail: prokudin@hydro.nsc.ru.
```*Local Solvability of Initial-Boundary Value Problem for One-Dimensional Equations of Polytropic Flows of Viscous Compressible Multifluids*. United States. doi:10.1007/S10958-018-3818-9.

```
Mamontov, A. E., E-mail: aemamont@hydro.nsc.ru, and Prokudin, D. A., E-mail: prokudin@hydro.nsc.ru. Tue .
"Local Solvability of Initial-Boundary Value Problem for One-Dimensional Equations of Polytropic Flows of Viscous Compressible Multifluids". United States. doi:10.1007/S10958-018-3818-9.
```

```
@article{osti_22771207,
```

title = {Local Solvability of Initial-Boundary Value Problem for One-Dimensional Equations of Polytropic Flows of Viscous Compressible Multifluids},

author = {Mamontov, A. E., E-mail: aemamont@hydro.nsc.ru and Prokudin, D. A., E-mail: prokudin@hydro.nsc.ru},

abstractNote = {We consider the initial-boundary value problem governing unsteady polytropic motions of viscous compressible multifluids. We prove the existence and uniqueness of a strong solution to the problem. Bibliography: 11 titles.},

doi = {10.1007/S10958-018-3818-9},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 2,

volume = 231,

place = {United States},

year = {2018},

month = {5}

}

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